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Advances in Fixed Point Theory ISSN 1927-6303 (Print)

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Adv. Fixed Point Theory 15 (2025), Article ID 11

Some new fixed point results for monotone partially nonexpansive mappings

Rahul Shukla

PDF (143.7 KB) https://doi.org/10.28919/afpt/8554

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).

Published
11 March 2025
Volume
15 (2025)
License
CC BY 3.0

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.

Cite this article

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

BibTeX
@article{Shukla2025,
  author  = {Shukla, Rahul},
  title   = {Some new fixed point results for monotone partially nonexpansive mappings},
  journal = {Adv. Fixed Point Theory},
  volume  = {15},
  year    = {2025},
  pages   = {11},
  doi     = {10.28919/afpt/8554}
}