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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 49

Some fixed point convergence theorems for nonexpansive type mappings in geodesic spaces

Rahul Shukla

PDF (156.6 KB) https://doi.org/10.28919/afpt/8619

Abstract

This paper aims to approximate fixed points for nonexpansive type mappings in geodesic spaces, particularly when the set of fixed points is not empty. We delve into the general Picard-Mann (GPM) algorithm, deriving convergence theorems both in terms of ∆ and strong convergence under different conditions.

Published
7 November 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 fixed point convergence theorems for nonexpansive type mappings in geodesic spaces, Adv. Fixed Point Theory 15 (2025), 49. https://doi.org/10.28919/afpt/8619

BibTeX
@article{Shukla2025,
  author  = {Shukla, Rahul},
  title   = {Some fixed point convergence theorems for nonexpansive type mappings in geodesic spaces},
  journal = {Adv. Fixed Point Theory},
  volume  = {15},
  year    = {2025},
  pages   = {49},
  doi     = {10.28919/afpt/8619}
}