10.30495/maca.2025.2054378.1130

On fixed point results in S_b-metric spaces

XML PDF
  • Pramodkumar Sohanlal Sharma1,
  • Chintaman Tukaram Aage1,
  1. Department of Mathematics, KBCNMU, Jalgaon, India

Published in Issue 2025-05-26

How to Cite

On fixed point results in S_b-metric spaces. (2025). Mathematical Analysis and Its Contemporary Applications, 7(2). https://doi.org/10.30495/maca.2025.2054378.1130

PDF views: 0

Abstract

In this paper, we present several fixed-point theorems for surjective mappings in complete S_b-metric spaces. We explore various conditions under which these fixed points exist.

Keywords

  • Fixed point,
  • S-metric space,
  • b-metric space,
  • S_b-metric space
PDF

References

  1. C. T. Aage, and J. N. Salunke, Some fixed point theorems for expansion onto mappings on cone metric spaces, Acta Math. Sin. (Engl. Ser.), 27(6) (2011), 1101–1106.
  2. S. Banach, Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales, Fund. Math., 3 (1922), 133–181.
  3. A. Branciari, A fixed point theorem of Banach-Caccioppoli type on a class of generalized metric spaces, Publ. Math. Debrecen, 57(1-2) (2000), 31–37.
  4. S. Czerwik, Contraction mappings in b-metric spaces, Acta Math. Inf. Univ. Ostraviensis, 01(1) (1993), 5–11.
  5. M. Dhanraj, A. J. Gnanaprakasam, G. Mani, O. Ege, and M. De la Sen, Solution to integral equation in an O-Complete Branciari b-metric spaces, Axioms, 11(12) (2022), 1–14.
  6. M. M. Frechet, Sur quelques points du calcul fonctionnel, Rend. Circ. Matem. Palermo 22 (1906), 1–72.
  7. A. Gholidahneh, S. Sedghi, O. Ege, Z. D. Mitrovic, and M. De la Sen, The Meir-Keeler type contractions in extended modular b-metric spaces with an application, AIMS Math., 6(2) (2021), 1781–1799.
  8. A. J. Gnanaprakasam, G. Mani, O. Ege, A. Aloqaily, and N. Mlaiki, New fixed point results in orthogonal b-metric spaces with related applications, Math. Sigma, 11(3) (2023), 1-18.
  9. M. Iqbal, A. Batool, O. Ege, and M. De la Sen, Fixed point of almost contraction in b-metric spaces, J. Math., 2020(1) (2020), 1–6.
  10. M. Iqbal, A. Batool, O. Ege, and M. De la Sen, Fixed point of generalized weak contraction in b-metric spaces, J. Funct. Spaces, 2021.1 (2021), 2042162.
  11. G. Mani, A. J. Gnanaprakasam, O. Ege, N. Fatima, and N. Mlaiki, Solution of Fredholm integral equation via common fixed point theorem on bicomplex valued b-metric space, SUT J. Math. Symmetry, 15(2) (2023), 297, 1–15.
  12. S. K. Prakasam, A. J. Gnanaprakasam, O. Ege, G. Mani, S. Haque, and N. Mlaiki, Fixed point for an OgF-c in O-complete b-metric-like spaces, AIMS Math., 8(1) (2023), 1022–1039.
  13. L. T. Saji, G. Uthaya Sankar, and A. Subramanian, Fixed point theorems in S-metric spaces, Malaya J. Math., 8 (2020), 2296–2298.
  14. S. Sedghi, N. Shobe, and A. Aliouche, A generalization of fixed point theorems in S-metric spaces, Mat. Vesnik, 64(3) (2012), 258—266.
  15. N. Souayah and N. Mlaiki, A fixed point theorem in Sb-metric spaces, J. Math. Comput. Sci., 16 (2016), 131—139.