Convergence results of modified Ishikawa iterates for asymptotically nonexpansive nonself maps (ANNMs) in CAT(0) spaces with new control conditions
Abstract
We establish the convergence of modified Ishikawa iteration to a fixed point of asymptotically nonexpansive nonself-mapping on a nonempty convex closed subset with relaxed conditions on the control sequences that generate the iterative process.
Copyright © 2025 P. Joyal Roy, A. Anthony Eldred. 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
P. J. Roy, A. A. Eldred, Convergence results of modified Ishikawa iterates for asymptotically nonexpansive nonself maps (ANNMs) in CAT(0) spaces with new control conditions, Adv. Fixed Point Theory 15 (2025), 31. https://doi.org/10.28919/afpt/9293
BibTeX
@article{Roy2025,
author = {Roy, P. Joyal and Eldred, A. Anthony},
title = {Convergence results of modified Ishikawa iterates for asymptotically nonexpansive nonself maps (ANNMs) in CAT(0) spaces with new control conditions},
journal = {Adv. Fixed Point Theory},
volume = {15},
year = {2025},
pages = {31},
doi = {10.28919/afpt/9293}
}