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

Archives › Volume 15 (2025)

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

Convergence study of common fixed points for pair of mappings in partially ordered Banach spaces

Sunil Beniwal, Naveen Mani, Rahul Shukla

PDF (155.3 KB) https://doi.org/10.28919/afpt/8826

Abstract

This paper aims to delve into the weak and strong convergence theorems concerning a pair of monotone mappings that meet condition (E) and converge to a common fixed point. This investigation is conducted within the context of uniformly convex ordered Banach spaces, employing the Ishikawa iteration technique. Furthermore, an illustrative example is presented to demonstrate the implications of the theoretical results we have derived.

Published
30 April 2025
Volume
15 (2025)
License
CC BY 3.0

Copyright © 2025 Sunil Beniwal, Naveen Mani, 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

S. Beniwal, N. Mani, R. Shukla, Convergence study of common fixed points for pair of mappings in partially ordered Banach spaces, Adv. Fixed Point Theory 15 (2025), 15. https://doi.org/10.28919/afpt/8826

BibTeX
@article{Beniwal2025,
  author  = {Beniwal, Sunil and Mani, Naveen and Shukla, Rahul},
  title   = {Convergence study of common fixed points for pair of mappings in partially ordered Banach spaces},
  journal = {Adv. Fixed Point Theory},
  volume  = {15},
  year    = {2025},
  pages   = {15},
  doi     = {10.28919/afpt/8826}
}