Approximation of common fixed points of a sequence of commuting generalized nonexpansive mappings
Abstract
It is the purpose of this paper to discuss the generalizations of nonexpansive mappings. We prove additional properties of these generalizations, particularly focusing on a sequence of commuting mappings satisfying condition Bγ,µ. We propose iterative algorithms to approximate a common fixed point of a sequence of commuting mappings satisfying condition Bγ,µ. With some mild assumptions on parameters, the convergence of these algorithms to a common fixed point of a sequence of commuting mappings satisfying condition Bγ,µ is also proved. Our results extend and improve many recent results in the literature.
Copyright © 2024 Gezahegn Anberber Tadesse, Mengistu Goa Sangago, Ronald Tshelametse. 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
G. A. Tadesse, M. G. Sangago, R. Tshelametse, Approximation of common fixed points of a sequence of commuting generalized nonexpansive mappings, Adv. Fixed Point Theory 14 (2024), 19. https://doi.org/10.28919/afpt/8547
BibTeX
@article{Tadesse2024,
author = {Tadesse, Gezahegn Anberber and Sangago, Mengistu Goa and Tshelametse, Ronald},
title = {Approximation of common fixed points of a sequence of commuting generalized nonexpansive mappings},
journal = {Adv. Fixed Point Theory},
volume = {14},
year = {2024},
pages = {19},
doi = {10.28919/afpt/8547}
}