Communications in Nonlinear Analysis
type: channel
description: Communications in Nonlinear Analysis (CNA) is an international peer-reviewed quarterly publication that publishes high-quality papers on all aspects of Energy and Sustainability. CNA is an open access publication, The following manuscript format can be published in the journal: Original article, short communication (brief report or brief communication), review article, systematic review and meta-analysis, Letter to editor, commentary, and editorial. Financial Policies Article Processing Charges Research & Science Group has supported all the publishing costs of Communications in Nonlinear Analysis (CNA), article processing charge and any other publication fees in the journal are free for authors. Subscription Fee Communications in Nonlinear Analysis (CNA) has published as an open-access electronic journal, so there is no subscription fee for audiences. Open Access Policies CNA is licensed under the terms of the Creative Commons Attribution License 4.0 International (CC-BY 4.0). Licensees may copy, distribute, display and make derivative works only if they cite the original published CNA article. Publication Policies CNA is following of Committee on Publication Ethics (COPE) and complies with the highest ethical standards in accordance with ethical laws. Copyright Notice Authors who publish with this journal agree to the following terms: Authors retain copyright and grant the journal right of first publication, with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgment of the work's authorship and initial publication in this journal. Authors are able to enter into separate, additional contractual arrangements for the nonexclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgment of its initial publication in this journal. Authors are permitted and encouraged to post their work onlin…
publisher: OICC Press
language: en
publication name: Communications in Nonlinear Analysis
issn: 2371-7920
items: Some New Fixed and Strict Fixed Point Results in The Set of Multi-Valued Mappings
items: NONLINEAR COUPLED COINCIDENCE AND COUPLED FIXED POINT THEOREMS FOR WEAKLY COMPATIBLE MAPPINGS IN PARTIALLY ORDERED PROBABILISTIC METRIC SPACES
items: Existence of Positive Solutions for 2n-Order Lidstone Boundary Value Problems with P-Laplacian Operator
items: An Application of Fixed Point Theory to A Nonlinear Integral Equation in Banach Spaces
items: Convergence of an M-step Iteration Scheme to the Commo Fixed Points of Finite Family of Mixed-Type Total Asymtotically Nonexpansive Mappings in Uniformly Convex Banach Spaces
items: Generalized Monotone Method for System of Riemann-Liouville Fractional Reaction-Diffusion Equations
items: Algorithm for Equations of Hammerstein Type and Applications
items: Fixed points of Nesic type contraction maps in Convex metric spaces
items: Measures of Noncompactness on Ω-distance Spaces.
items: SOME LP− TYPE INEQUALITIES FOR POLAR DERIVATIVE OF A POLYNOMIAL
items: Strong Convergence of Monotone Hybrid Algorithms for Maximal Monotone Mappings and Generalized Nonexpansive Mappings
items: Existence and Uniqueness Solutions of System Caputo-type Fractional-Order Boundary Value Problems Using Monotone Iterative Method
items: The Solutions of Systems of Rational Difference Equations in Terms of Fibonacci Numbers
items: Investigating a Coupled System with Riemann-Liouville Fractional Derivative by Modified Monotone Iterative Technique
items: The Approximate Solution of COVID-19 Model by Variational Iteration Method
items: Approximating endpoints of multi-valued generalized $\alpha$-nonexpansive mappings in Banach spaces
items: A Split Common Fixed Point and Null Point Problem for Lipschitzian Quasi Pseudocontractive Mappings in Hilbert Spaces
items: The Study Of Manageable Functions And Approximate Fixed Point Property With Their Application
items: Convergence of general composite iterative method for infinite family of nonexpansive mappings in Hilbert spaces
items: On entropy of action of amenable groups
items: Proximal pairs and P-­KKM mappings
items: Fixed Point And Coupled Fixed Point Theorems For Multivalued Contractions With Respect To The Excess Functional
items: Some common fixed point theorems for single valued mappings in G-ultrametric spaces
items: On the existence of solution for a singular Riemann-Liouville fractional differential system by using measure of non-compactness
items: Best Proximity Point for Presic Type Mappings on Metric Spaces
items: Some Inequalities for the Polar Derivative of a Polynomial Having S-Fold Zeros at the Origin
items: Coincidence Points with φ-Contractions in Partially Ordered Fuzzy Metric Spaces
items: Isolation Effect on Age-Stratified Compartmental Model of the COVID-19
items: On New Fixed Point Results for Some Classes of Enriched Mappings in N-Banach Spaces
items: Convergence Theorems for Monotone Generalized α-Nonexpansive Mappings in Ordered Banach Space by a New Four-Step Iteration Process with Application

Some New Fixed and Strict Fixed Point Results in The Set of Multi-Valued Mappings
type: item
description: In this paper, we introduce a new multi valued contraction to generalize the weakly multi valued contractive mappings given by Daffer and Kanako and some consequences studied in this direction. Moreover, we found a necessary and sufficient condition for strict fixed points of mentioned contractions.
subject: Editorial
  topic: section
subject: Strict fixed point
  topic: keywords
subject: fixed point
  topic: keywords
subject: Weakly Generalized contraction
  topic: keywords
subject: Pompeiu-Hausdorff metric
  topic: keywords
subject: Multi valued mapping
  topic: keywords
creator: Farshid Khojasteh
rights: Copyright (c)
date: 2025-11-09
publication date: 2025-11-09

NONLINEAR COUPLED COINCIDENCE AND COUPLED FIXED POINT THEOREMS FOR WEAKLY COMPATIBLE MAPPINGS IN PARTIALLY ORDERED PROBABILISTIC METRIC SPACES
type: item
description: In this paper, we introduce the notion of weaker compatibilityof mappings in partially ordered probabilistic metric spaces and use this no-tion to establish a coupled coincidence point results. Very recently DraganDoric [Nonlinear coupled coincidence and coupled xed point theorems for notnecessary commutative contractive mappings in partially ordered probabilisticspaces] proved coupled coincidence point theorems for compatible mappingsin partially ordered probabilistic metric spaces. In this paper we proved re-sults of Dragam under a dierent set of conditions. Precisely, we establishour results by assuming that two mappings in partially ordered probabilisticmetric spaces are weakly compatible. Our results improve and extend a cou-pled xed point theorem due to Bhaskar and Lakshmikantham [T-G.Bhaskar ,V. Lakshmikantham, Fixed point theorems in partially ordered metric spacesand applications, Nolinear Anal, 65(2006) 1379-1393]. An example is given tosupport our result.In this paper, we introduce the notion of weaker compatibilityof mappings in partially ordered probabilistic metric spaces and use this no-tion to establish a coupled coincidence point results. Very recently DraganDoric [Nonlinear coupled coincidence and coupled xed point theorems for notnecessary commutative contractive mappings in partially ordered probabilisticspaces] proved coupled coincidence point theorems for compatible mappingsin partially ordered probabilistic metric spaces. In this paper we proved re-sults of Dragam under a different set of conditions. Our results improve and extend a cou-pled xed point theorem due to Bhaskar and Lakshmikantham. An example is given tosupport our result.
subject: Original Article
  topic: section
subject: Probabilistic metric space
  topic: keywords
subject: Partially ordered set
  topic: keywords
subject: Menger space
  topic: keywords
subject: Weakly compatible maps
  topic: keywords
subject: coupled coincidence and fixed point
  topic: keywords
subject: Mixed monotone property
  topic: keywords
creator: SAURABH MANRO
creator: ABDELKRIM ABDELHALIM,
creator: BEN AOUA LEILA,
creator: ABDELKRIM ALIOUCHE, ABDELKRIM ALIOUCHE,
creator: OUSSAEIF TAKI-EDDINE, OUSSAEIF TAKI-EDDINE,
rights: Copyright (c)
date: 2025-11-09
publication date: 2025-11-09

Existence of Positive Solutions for 2n-Order Lidstone Boundary Value Problems with P-Laplacian Operator
type: item
description: In this paper, we establish the existence of positive solutions for $2n^{text {th}}$ order Lidstone boundary value problems with $p$-Laplacian of the form$$(-1)^n[phi_{p}(y^{(2n-2)}(t)-k^2y^{(2n-4)}(t))]''=f(t,y(t)), ~~t in [0, 1], $$$$y^{(2i)}(0)=0=y^{(2i)}(1), for $0leq i leq n-1,$ where $ngeq 2$ and $k>0$ is a constant, by applying Guo--Krasnosel'skii fixed point theorem.
subject: Journal Article
  topic: section
subject: Green’s function
  topic: keywords
subject: p-Laplacian
  topic: keywords
subject: boundary value problem
  topic: keywords
subject: positive solution
  topic: keywords
subject: cone
  topic: keywords
subject: fixed point theorem
  topic: keywords
creator: Sreedhar Namburi
creator: Kapula Rajendra Prasad
creator: Ronanki Ravi Sankar
rights: Copyright (c)
date: 2025-11-09
publication date: 2025-11-09

An Application of Fixed Point Theory to A Nonlinear Integral Equation in Banach Spaces
type: item
description: In this paper we propose a new iterative scheme, called the AF iteration process, for approximating the unique solution of a mixed type Volterra-Fredholm functional nonlinear integral equation. We prove in the sense of Berinde \cite{Berin} that our new iterative scheme converges at a rate faster than some of the leading iterative schemes in the literature which have been employed recently to approximate the unique solution of a mixed type Volterra Fredholm functional nonlinear integral equation. We also prove that our new iterative method converges strongly to the unique solution of a mixed type Volterra Fredholm functional nonlinear integral equation. In addition, we give data dependence result for the solution of the nonlinear integral equation which we are considering with the help of our new iterative scheme. Our results improve and unify some well known results in the existing literature.
subject: Original Article
  topic: section
subject: Fixed point
  topic: keywords
subject: Banach space
  topic: keywords
subject: Strong convergence
  topic: keywords
subject: Nonlinear integral equation
  topic: keywords
subject: Data dependence
  topic: keywords
creator: Austine Efut Ofem
rights: Copyright (c)
date: 2025-11-09
publication date: 2025-11-09

Convergence of an M-step Iteration Scheme to the Commo Fixed Points of Finite Family of Mixed-Type Total Asymtotically Nonexpansive Mappings in Uniformly Convex Banach Spaces
type: item
description: We propose an m-step iteration scheme of hybrid mixed-type for m-total asymptotically nonexpansive self mappings and m-total asymptotically nonexpansive nonself mappings and establish some weak convergence theorems of the scheme to the common fixed point of the mappings in the setting of uniformly convex Banach spaces. In additon, we proved demiclosedness principle for total asymptotically nonexpansive nonself mappings in uniformly convex Banach spaces. Our results extend and genralise the results in [23] and other numerous results currently in literature.
subject: Original Article
  topic: section
subject: Asymtotically Nonexpansive Mappings
  topic: keywords
subject: Total Asymptotically Nonexpansive Nonself Mapping
  topic: keywords
subject: Hybrid Mixed Type Iteration Scheme
  topic: keywords
subject: Common Fixed Point
  topic: keywords
subject: Uniformly Convex Banach Space
  topic: keywords
subject: Weak Convergence
  topic: keywords
subject: Fixed Point Theory
  topic: subjects
creator: Imo Kalu Agwu
creator: Daonatus Ikechi Igbokwe
rights: Copyright (c)
date: 2025-11-09
publication date: 2025-11-09

Generalized Monotone Method for System of Riemann-Liouville Fractional Reaction-Diffusion Equations
type: item
description: In this paper, our aim is to obtain the integral representation for the solution of linear Riemann-Liouville reaction-diffusion equations of order $q$ in terms of Green's function where $ 0<q<1 .$ We have developed a generalized monotone method for non-linear weakly coupled system of Riemann-Liouville reaction-diffusion equations when the forcing term is the sum of increasing and decreasing functions. The generalized monotone method yields monotone sequences which converges uniformly and monotonically to coupled minimal and maximal solutions. Under uniqueness assumption, we proved the existence of a unique solution for the non-linear system of Riemann-Liouville reaction-diffusion equations.
subject: Original Article
  topic: section
subject: Eigen function
  topic: keywords
subject: Non-linear weakly coupled system
  topic: keywords
subject: Coupled upper and lower solutions
  topic: keywords
subject: PDE and ODE
  topic: subjects
creator: Jagdish A Nanware
creator: Pandurang D Kundgar
rights: Copyright (c)
date: 2025-11-09
publication date: 2025-11-09

Algorithm for Equations of Hammerstein Type and Applications
type: item
description: Equations of Hammerstein type cover large variety of areas and are of much interest to a wide audience due to the fact that they have applications in numerous areas. Suitable conditions are imposed to obtain a strong convergence result for nonlinear integral equations of Hammerstein type with monotone type mappings. A technique which does not involve the assumption of existence of a real constant whose calculation is unclear has been used in this study to obtain the strong convergence result. Moreover, our technique is applied to show the forced oscillations of finite amplitude of a pendulum as a specific example of nonlinear integral equations of Hammerstein type. Numerical example is given for the illustration of the convergence of the sequences of iteration. These are done to demonstrate to our readers that this approach can be applied to problems arising in physical systems.
subject: Original Article
  topic: section
subject: Hammerstein equation
  topic: keywords
subject: monotone type mapping
  topic: keywords
subject: strong convergence
  topic: keywords
subject: forced oscillations
  topic: keywords
subject: finite amplitude of a pendulum
  topic: keywords
subject: Fixed Point Theory
  topic: subjects
creator: Mathew Aibinu
creator: Surendra C. Thakur
creator: Sibusiso Moyo
rights: Copyright (c)
date: 2025-11-09
publication date: 2025-11-09

Fixed points of Nesic type contraction maps in Convex metric spaces
type: item
description: We define Nesic type contraction maps in convex metric spaces and prove the existence and uniqueness of fixed points of these maps in convex metric spaces. Our results extend the results of Nesic ([1], Results on fixed points of asymptotically regular mappings ) from the metric space setting to convex metricspaces.
subject: Original Article
  topic: section
subject: Convex structure
  topic: keywords
subject: Nesic contraction map
  topic: keywords
subject: Nesic type contraction map
  topic: keywords
subject: Fixed Point Theory
  topic: subjects
creator: Gutti Venkata Ravindranadh Babu
creator: Gedala Satyanarayana
creator: Palla Mounika
rights: Copyright (c)
date: 2025-11-09
publication date: 2025-11-09

Measures of Noncompactness on Ω-distance Spaces.
type: item
description: . The aim of this article is to present a new framework for studying measures of noncompactness in G-metric spaces. First, we introduce the concept of Ω-distance space as an Ω-measure of non-compactness on G-metric spaces. Finally, we use our main result to characterize G-metric completeness.
subject: Original Article
  topic: section
subject: G-metric space
  topic: keywords
subject: Measures of noncompactness
  topic: keywords
subject: Ω-distance
  topic: keywords
subject: Nonlinear Analysis
  topic: subjects
creator: Asif H Jan
creator: Tanweer H Jalal
rights: Copyright (c)
date: 2025-11-09
publication date: 2025-11-09

SOME LP− TYPE INEQUALITIES FOR POLAR DERIVATIVE OF A POLYNOMIAL
type: item
description: In this paper, we shall prove some Lpinequalities for the polar derivative of a polynomial having zerosin |z| ≤ k ≤ 1 and thereby obtain generalizations and refinements of an integral inequality due to Barchand Charamet al
subject: Original Article
  topic: section
subject: polynomial
  topic: keywords
subject: polar derivative
  topic: keywords
subject: Integral mean inequalities
  topic: keywords
subject: Nonlinear Analysis
  topic: subjects
creator: Irfan Ahmad Wani
creator: Mohammad Ibrahim Mir
creator: Jamina Banoo
rights: Copyright (c)
date: 2025-11-09
publication date: 2025-11-09

Strong Convergence of Monotone Hybrid Algorithms for Maximal Monotone Mappings and Generalized Nonexpansive Mappings
type: item
description: A class of generalized nonexpansive mappings in Banach spaces is considered and a new monotone hybrid algorithm is presented for finding a common element of the zero point set of a maximal monotone operator and the fixed point set of a generalized nonexpansive mapping. Under certain conditions on the associated parameters, a strong convergence result is established. Moreover, the obtained result is applied to prove a strong convergence theorem for finding a common element of the zero point set of a maximal monotone operator and the fixed point set of a generalized nonexpansive mapping in a Hilbert space.
subject: Original Article
  topic: section
subject: Generalized
  topic: keywords
subject: Maximal monotone
  topic: keywords
subject: Nonexpansive
  topic: keywords
subject: Retraction
  topic: keywords
subject: Algorithm
  topic: keywords
subject: Fixed Point Theory
  topic: subjects
creator: Mathew Aibinu
rights: Copyright (c)
date: 2025-11-09
publication date: 2025-11-09

Existence and Uniqueness Solutions of System Caputo-type Fractional-Order Boundary Value Problems Using Monotone Iterative Method
type: item
description: In this paper, we investigate the existence and uniqueness solutions of nonlinear boundary value problems for system of Caputo type nonlinear fractional differential equations of the form:\begin{equation*}\label{*}\left\{\begin{array}{c} ^cD_{a^{+}}^{q;\psi} u_{i}(t)=F_{i}(t,u_{1}(t),u_{2}(t)) \quad t\in J=[a,b],\\ \phi(v_{i}(a),v_{i}(b))=0. \end{array} \right. \end{equation*}\\ To develop a monotone iterative technique by introducing upper and lower solutions to Caputo type fractional differential equations with nonlinear boundary conditions. The monotone method yield monotone sequences which converges to uniformly and monotonically to extremal solutions.
subject: Original Article
  topic: section
subject: Keyword: Riemann-Liouville fractional derivative
  topic: keywords
subject: Non-linear weakly cou- pled system
  topic: keywords
subject: coupled upper and lower solutions
  topic: keywords
subject: generalized monotone method
  topic: keywords
subject: Nonlinear Analysis
  topic: subjects
creator: Audumbar kumar Mule
creator: Sidheshwar S Bellale
rights: Copyright (c)
date: 2025-11-09
publication date: 2025-11-09

The Solutions of Systems of Rational Difference Equations in Terms of Fibonacci Numbers
type: item
description: In this paper, we get the form of the solutions of the following difference equation systems with nonzero real numbers initial conditions z(n+1) =w(n)(z(n-4) + w(n-5))/w(n-5) + z(n-4) - w(n),w(n+1) =z(n-3)(z(n-3) + w(n-4)/2z(n-3) + w(n-4).z(n+1) =w(n)(w(n-5) -z(n-4))/w(n-5)- z(n-4) + w(n),w(n+1) =z(n-3)(w(n-4) -z(n-3)/w(n-4)
subject: Original Article
  topic: section
subject: difference equation
  topic: keywords
subject: recursive sequences
  topic: keywords
subject: system of difference equations
  topic: keywords
subject: PDE and ODE
  topic: subjects
creator: Elsayed M. Elsayed
creator: Mai Alharthi
rights: Copyright (c)
date: 2025-11-09
publication date: 2025-11-09

Investigating a Coupled System with Riemann-Liouville Fractional Derivative by Modified Monotone Iterative Technique
type: item
description: In recent time, the area of arbitrary order differential equations (AODEs)has been considered very well. Different aspects have been investigated for the saidarea. One of the important and most warm area is devoted to study multiplicityresults along with existence and uniqueness of solutions for the said equations. In thisregard various techniques have been utilized to investigate the said area. Monotoneiterative technique (MIT) coupled with the method of extremal solutions has beenused recently to investigate multiplicity of solutions to some AODEs. In this researchwork, we deal a coupled system of nonlinear AODEs under boundary conditions (BCs)involving Riemann-Liouville fractional derivative by using fixed point theorems dueto Perov’s and Schuader’s to study existence and uniqueness results. Using Perove’sfixed point theorem ensures uniqueness of solution to systems of equations, whileexistence of at least one solution is achieved by Schauder’s fixed point theorem.Then we come across the multiplicity of solutions and establish some criteria for theiterative solutions via using updated type MIT together with the method of upper andlower solutions for the considered system of AODEs. Corresponding to multiplicityresults of solutions, we first establish two sequences of extremal solutions. One of thesequence is monotonically decreasing and converging to lower solution. On the otherhand, the other sequence is monotonically increasing and converging to the uppersolution. In last we give suitable examples to illustrate the main results.
subject: Original Article
  topic: section
subject: Arbitrary order differential equations
  topic: keywords
subject: Monotone iterative technique
  topic: keywords
subject: Riemann-Liouville fractional derivative
  topic: keywords
subject: Perov’s and Schuader’s fixed point theorems
  topic: keywords
creator: Kamal Shah
creator: Abid Hussain
rights: Copyright (c)
date: 2025-11-09
publication date: 2025-11-09

The Approximate Solution of COVID-19 Model by Variational Iteration Method
type: item
description: In this work, we investigate a mathematical model of COVID-19 for approximate solution through variation iteration method (VIM). With the help of the said technique, we develop an algorithm to compute series type solution to the proposed problem. Then using some real values for the parameters and initial data, we compute few terms approximate solutions corresponding to different compartment. With the help of Mathematica, we also plot our approximate solutions for different compartment graphically.
subject: Original Article
  topic: section
subject: COVID-19
  topic: keywords
subject: Compartmental model
  topic: keywords
subject: Approximate solution
  topic: keywords
subject: Variational iteration method
  topic: keywords
subject: PDE and ODE
  topic: subjects
creator: Eiman .
creator: Hazrat Zaman
creator: Zakir Ullah
rights: Copyright (c)
date: 2025-11-09
publication date: 2025-11-09

Approximating endpoints of multi-valued generalized $\alpha$-nonexpansive mappings in Banach spaces
type: item
description: In this paper, we study endpoints of multi-valued generalized $\alpha$-nonexpansive mappings in Banach spaces. Under some appropriate assumptions, we prove that the sequence of modified Agarwal-O'Rega-Sahu iterative process defined by Abdeljawad et al. (2020) converges strongly to an endpoint of a multi-valued generalized $\alpha$-nonexpansive mappings. We also give an illustrate example. Our results are new and extend the corresponding results of the current literature.
subject: Original Article
  topic: section
subject: Endpoint
  topic: keywords
subject: S iteration
  topic: keywords
subject: generalized $alpha$-nonexpansive mapping
  topic: keywords
subject: condition $(J)$
  topic: keywords
subject: Banach space
  topic: keywords
creator: Junaid Ahmad
creator: Kifayat Ullah
creator: Muhammad Safi Ullah Khan
creator: Naseer Muhammad
rights: Copyright (c)
date: 2025-11-09
publication date: 2025-11-09

A Split Common Fixed Point and Null Point Problem for Lipschitzian Quasi Pseudocontractive Mappings in Hilbert Spaces
type: item
description: A split common fixed point and null point problem (SCFPNPP) which includes the splitcommon fixed point problem, the split common null point problem and other problems related to the fixed pointproblem and the null point problem is studied. We introduce a Halpern--Ishikawa type algorithm for studying the split common fixed point and null point problem for Lipschitzian quasi pseudocontractive operators and maximal monotone operators in real Hilbert spaces. Moreover, we establish a strong convergence results under some suitable conditions and reduce our main result to above-mentioned problems. We give numerical result to demonstrate the convergence of our algorithms and compare rate of convergence some iterative algorithms. Finally, we applied the study to split feasibility problem (FEP), split equilibrium problem (SEP), split variational inequality problem (SVIP) and split optimization problem (SOP).
subject: Original Article
  topic: section
subject: Split common fixed point problem
  topic: keywords
subject: split common null point problem
  topic: keywords
subject: quasi pseudocontractive operators
  topic: keywords
subject: maximal monotone operators
  topic: keywords
subject: Halpern--Ishikawa type algorithm
  topic: keywords
subject: Fixed Point Theory
  topic: subjects
creator: Uko Sunday Jim
creator: Daonatus Ikechi Igbokwe
rights: Copyright (c)
date: 2025-11-09
publication date: 2025-11-09

The Study Of Manageable Functions And Approximate Fixed Point Property With Their Application
type: item
description: In this work, we want to investigate and improve the concept of manageable functions and M_n (R)-contractions in order to extend the theory of multi-valued contractions and fixed point results
subject: Contributors
  topic: section
subject: Manageable function
  topic: keywords
subject: Hausdorff metric
  topic: keywords
subject: α-admissible multi-valued map
  topic: keywords
subject: regularity
  topic: keywords
subject: fixed point
  topic: keywords
creator: Farshid Khojasteh
creator: Antonio Francisco Roldan Lopez de Hierro
rights: Copyright (c)
date: 2025-11-09
publication date: 2025-11-09

Convergence of general composite iterative method for infinite family of nonexpansive mappings in Hilbert spaces
type: item
description: In this paper by using W_n -mapping, we introduce a composite iterative method for finding a commonfixed point for infinite family of nonexpansive mappings and a solution of a certain variational inequality.Furthermore, the strong convergence of the proposed iterative method is established. Finally, some sim-ulation examples are presented. Our results improve and extend the previous results. c ⃝2016 All rightsreserved.
subject: Contributors
  topic: section
subject: Nonexpansive mapping
  topic: keywords
subject: W_n -mapping
  topic: keywords
creator: Vahid Darvish
creator: Sever Silvestru Dragomir
rights: Copyright (c)
date: 2025-11-09
publication date: 2025-11-09

On entropy of action of amenable groups
type: item
description: In this paper, we assign a linear operator to the action of an amenable group on a compact metric space. Then we extract the entropy of the action in terms of the eigenvalues of the operator. In this way we present a spectral representation of the entropy of action of amenable groups.
subject: Contributors
  topic: section
creator: Mehdi Rahimi
rights: Copyright (c)
date: 2025-11-09
publication date: 2025-11-09

Proximal pairs and P-­KKM mappings
type: item
description: We introduced a new class of multi-valued mappings, called P-KKM mappings, which generalized the notationof R-KKM maps of Raj and Somasundaram [KKM-type theorem for best proximity points, AppliedMathematics Letters, 25 (2012), 496-499] and appropriate to best proximity theory. An analog version ofKKM property and a common fixed point theorem is also proved.
subject: Original Article
  topic: section
subject: P-KKM mapping
  topic: keywords
subject: proximal pair
  topic: keywords
subject: normed linear space
  topic: keywords
creator: Abdolrahman Razani
creator: Nasrin Karamikabir
rights: Copyright (c)
date: 2025-11-09
publication date: 2025-11-09

Fixed Point And Coupled Fixed Point Theorems For Multivalued Contractions With Respect To The Excess Functional
type: item
description: In this paper, we will consider the coupled fixed point problem for a multi-valued operator satisfying acontraction condition with respect to the excess functional in b-metric spaces. The approach is basedon a fixed point theorem for a multi-valued operator in the setting of a b-metric space. On one hand,we will consider the problem of the existence of the solutions and on the other hand, data dependence,well-posedness, Ulam-Hyers stability and limit shadowing property of the coupled fixed point problem arediscussed. Some applications to a system of integral inclusions and to a multi-valued periodic boundaryvalue problem are also given. c
subject: Original Article
  topic: section
subject: multi-valued operator
  topic: keywords
subject: ordered metric space
  topic: keywords
subject: coupled fixed point
  topic: keywords
subject: data dependence
  topic: keywords
subject: well-posedness
  topic: keywords
subject: Ulam-Hyers stability
  topic: keywords
subject: limit shadowing
  topic: keywords
subject: system of integral inclusions
  topic: keywords
subject: multi-valued periodic boundary value problem
  topic: keywords
creator: Iulia Coroian
creator: Gabriela Petrusel
rights: Copyright (c)
date: 2025-11-09
publication date: 2025-11-09

Some common fixed point theorems for single valued mappings in G-ultrametric spaces
type: item
description: The purpose of this paper is to prove some common fixed point theorems for a single valued stronglycontractive mapping having a pair of maps on a spherically complete G-ultrametric space. c ⃝2016 All rightsreserved.
subject: Original Article
  topic: section
subject: Fixed point
  topic: keywords
subject: spherically complete G-ultrametric space
  topic: keywords
subject: strongly contractive mapping
  topic: keywords
subject: common fixed point
  topic: keywords
creator: Hamid Mamghaderi
creator: Hashem Parvaneh Masiha
rights: Copyright (c)
date: 2025-11-09
publication date: 2025-11-09

On the existence of solution for a singular Riemann-Liouville fractional differential system by using measure of non-compactness
type: item
description: We investigate the existence of solution for a singular fractional differential system with Riemann-Liouvilleintegral boundary conditions by using the measure of non-compactness.
subject: Original Article
  topic: section
subject: We investigate the existence of solution for a singular fractional differential system with Riemann-Liouville
  topic: keywords
subject: integral boundary conditions by using the measure of non-compactness
  topic: keywords
creator: Shahram Rezapour
creator: Mehdi Shabibi
rights: Copyright (c)
date: 2025-11-09
publication date: 2025-11-09

Best Proximity Point for Presic Type Mappings on Metric Spaces
type: item
description: In this paper, we define the best proximity point for Preˇ si´ c type non-self mappings and prove some bestproximity point theorems in complete metric spaces. c
subject: Original Article
  topic: section
subject: Best proximity point
  topic: keywords
subject: weak P-property
  topic: keywords
subject: Presic type mappings
  topic: keywords
creator: Mehdi Omidvari
rights: Copyright (c)
date: 2025-11-09
publication date: 2025-11-09

Some Inequalities for the Polar Derivative of a Polynomial Having S-Fold Zeros at the Origin
type: item
description: Let $P(z)$ be a polynomial of degree $n$ having all its zeros in $|z|\leq 1$ then for all $(\alpha_i)^t_{i=1}\in \mathbb{C}$ with $|\alpha_i|\geq 1, 1\leq i\leq t<n$, it was proved by Jain[V. K. Jain, Generalization of an inequality involving maximum moduli of a polynomial and its polar derivative, Bull Math Soc Sci Math Roum Tome. 98, 67–74 (2007)] that\begin{align*}\max\limits_{|z|=1}|D_{\alpha_t}...D_{\alpha_2}D_{\alpha_1}P(z)|\geq\frac{n_t}{2^t}\left[A_{\alpha_t}\max\limits_{|z|=1}|P(z)|+\left( 2^t\prod\limits_{i=1}^{t}|\alpha_i|- A_{\alpha_t}\right)\min\limits_{|z|=1}|P(z)| \right].\end{align*}where $n_t=n(n-1)...(n-t+1)$ and $A_{\alpha_t}=(|\alpha_1|-1)(|\alpha_2|-1)...(|\alpha_t|-1)$. In this paper, we generalize this and some other results.
subject: Original Article
  topic: section
subject: s-fold zeros
  topic: keywords
subject: Polar Derivative
  topic: keywords
subject: Inequalities
  topic: keywords
subject: maximum modulus. 1
  topic: keywords
creator: M H Gulzar
creator: Bashir Ahmad Zargar
creator: Rubia Akhter
rights: Copyright (c)
date: 2025-11-09
publication date: 2025-11-09

Coincidence Points with φ-Contractions in Partially Ordered Fuzzy Metric Spaces
type: item
description: In this paper our main result is a coupled coincidence point theorem for a compatible pairin a fuzzy metric space with a partial ordering under the assumption of a new coupled contraction inequality which involves a recently introduced control function which is a generalization ofmany such functions previously used in literatures. The proof depends on a lemma in which weprove a condition for simultaneous holding of Cauchy criteria for two sequences. We use H-typet-norms in this paper in order to utilize the equi-continuity of the t-norm iterates in the proofof the lemma. The contraction inequality also involves another function which is borrowed froma recent work, there is a partial ordering defined on the fuzzy metric space. There are severalcorollaries of the main theorem. An illustrative example is given.
subject: Original Article
  topic: section
subject: Partial ordered set
  topic: keywords
subject: Hadzic type t-norm
  topic: keywords
subject: φ-function
  topic: keywords
subject: Cauchy sequence
  topic: keywords
subject: compatibility
  topic: keywords
subject: coupled coincidence point
  topic: keywords
creator: Binayak S Choudhury
creator: Pradyut Das
creator: Parbati Saha
creator: Samir Kumar Bhandari
rights: Copyright (c)
date: 2025-11-09
publication date: 2025-11-09

Isolation Effect on Age-Stratified Compartmental Model of the COVID-19
type: item
description: Focusing on the dynamics of the most recent outbreak of COVID-19, we formulate an age distributed model with five different components in terms of nonlinear partial differential equations. The model has been analyzed by studying the stability of the equilibrium points and their reproduction number. To explore the disease effect on different ages more efficiently, we apply the recent estimated data in the formulated model and analyze it numerically. From the model’s numerical solution profiles, we observed more susceptibility and infection among the older population. Also studied the effectiveness of isolation in controlling illness and death.
subject: Original Article
  topic: section
subject: Age-structured
  topic: keywords
subject: compartmental modeling
  topic: keywords
subject: isolation effect
  topic: keywords
subject: covid-19
  topic: keywords
subject: SEIQR model
  topic: keywords
subject: Nonlinear Analysis
  topic: subjects
creator: M. D. Shahidul Islam
creator: K. M. Ariful Kabir
creator: Jannatun Irana Ira
creator: Mahadee Al Mobin
creator: Md. Haider Ali Biswas
creator: Praveen Kumar Gupta
rights: Copyright (c)
date: 2025-11-09
publication date: 2025-11-09

On New Fixed Point Results for Some Classes of Enriched Mappings in N-Banach Spaces
type: item
description: We introduce the concepts of enriched n-contraction mapping, enriched n-Chatterjea mapping and enriched n-Kannan mapping in linear n-normed space. We prove some fixed point theorems for such mappings using Krasnoselsij iteration process in n-Banach spaces. The results presented in this paper improve the recent works of Berinde and Pacurar (J. Fixed Point Theory Appl. (2020) 22-38), Berinde and Pacurar (Preprint, arXiv:1909.03494) and Berinde and Pacurar (Preprint, arXiv:1909.02379, 2019) to linear n-normed spaces.
subject: Original Article
  topic: section
subject: Enriched mappings
  topic: keywords
subject: Krasnoselskij iteration
  topic: keywords
subject: Fixed point
  topic: keywords
subject: n-normed spaces
  topic: keywords
subject: Fixed Point Theory
  topic: subjects
creator: Esra Simsek
creator: Isa Yildirim
rights: Copyright (c)
date: 2025-11-09
publication date: 2025-11-09

Convergence Theorems for Monotone Generalized α-Nonexpansive Mappings in Ordered Banach Space by a New Four-Step Iteration Process with Application
type: item
description: We introduce a new four-step iterative algorithm and show that the new algorithm converges faster than a number of existing iterative algorithms for contraction mappings. We prove strong and weak convergence results for approximating fixed points of monotone generalized α-nonexpansive mappings. Further, we utilize our proposed algorithm to solve Split FeasibilityProblem (SFP). Our result complements, extends and generalizes some existing results in literature.
subject: Original Article
  topic: section
subject: Monotone
  topic: keywords
subject: generalized α-Nonexpansive mapping
  topic: keywords
subject: Ordered Banach space
  topic: keywords
subject: Fixed point
  topic: keywords
subject: contraction mapping
  topic: keywords
subject: Split Feasibility Problem
  topic: keywords
creator: Unwana Udofia
creator: Donatus Igbokwe
rights: Copyright (c)
date: 2025-11-09
publication date: 2025-11-09