Some new fixed point results for monotone partially nonexpansive mappings

Rahul Shukla

Abstract

In this paper, we study monotone partially nonexpansive mappings and present some new existence and convergence theorems for these mappings in the setting of ordered Banach spaces. Furthermore, we extend the results reported by M. R. Alfuraidan and M. A. Khamsi (Carpathian J. Math., 36(2): 199–204, 2020) and E. Llorens-Fuster (Adv. Theory Nonlinear Anal. Appl., 6(4): 565–573, 2022).

How to Cite this Article

Rahul Shukla, Some new fixed point results for monotone partially nonexpansive mappings, Adv. Fixed Point Theory, 15 (2025), Article ID 11. https://doi.org/10.28919/afpt/8554

Copyright © 2025 Rahul Shukla. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.