Convergence Theorems of an Inertial Monotone Hybrid Algorithms for a family of Generalized Nonexpansive mappings, Maximal Monotone Operators and Generalized Mixed Equilibrium Problems

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  • Lawal Umar1,
  • Zakariyya Abdulaziz2,
  • Mohammed Sani Mashina2,
  1. Department of Mathematics, Federal College of Education Zaria, Nigeria.
  2. Department of Mathematics, Federal College of Education zaria, Nigeria.

Published in Issue 2025-11-09

How to Cite

Convergence Theorems of an Inertial Monotone Hybrid Algorithms for a family of Generalized Nonexpansive mappings, Maximal Monotone Operators and Generalized Mixed Equilibrium Problems. (2025). Communications in Nonlinear Analysis, 12(1). https://oiccpress.com/cna/article/view/17877

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Abstract

In this paper, we propose an inertial monotone hybrid algorithm for approximating a common element of the zero point set of a maximal monotone operators, the fixed point set of a family of a generalized nonexpansive mappings and generalized mixed equilibrium problems in Banach spaces. The results present in this paper extend and improve some recent results in the literature.

Keywords

  • Inertial Monotone Hybrid Algorithm,
  • Generalized Nonexpansive Mappings,
  • Maximal Monotone,
  • Generalized Mixed Equilibrium Problems Operators
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