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

Archives › Volume 13 (2023)

Adv. Fixed Point Theory 13 (2023), Article ID 11

A new iterative algorithm for generalized (α,β)-nonexpansive mapping in CAT(0) space

Samir Dashputre, Rakesh Tiwari, Jaynendra Shrivas

PDF (172.4 KB) https://doi.org/10.28919/afpt/8084

Abstract

In this paper, we provide certain fixed point results for a generalized (α,β)-nonexpansive mapping, as well as a new iterative algorithm for approximating the fixed point of this class of mappings in the setting of CAT(0) spaces. Furthermore, we establish strong and ∆-converges theorem for generalized (α,β)-nonexpansive mapping in CAT(0) space. Finally, we present a numerical example to illustrate our main result and then display the efficiency of the proposed algorithm compared to different iterative algorithms in the literature. Our results obtained in this paper improve, extend and unify some related results in the literature.

Published
25 August 2023
Volume
13 (2023)
License
CC BY 3.0

Copyright © 2023 Samir Dashputre, Rakesh Tiwari, Jaynendra Shrivas. 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. Dashputre, R. Tiwari, J. Shrivas, A new iterative algorithm for generalized (α,β)-nonexpansive mapping in CAT(0) space, Adv. Fixed Point Theory 13 (2023), 11. https://doi.org/10.28919/afpt/8084

BibTeX
@article{Dashputre2023,
  author  = {Dashputre, Samir and Tiwari, Rakesh and Shrivas, Jaynendra},
  title   = {A new iterative algorithm for generalized (α,β)-nonexpansive mapping in CAT(0) space},
  journal = {Adv. Fixed Point Theory},
  volume  = {13},
  year    = {2023},
  pages   = {11},
  doi     = {10.28919/afpt/8084}
}