Convergence theorems to common fixed points of multi-valued ρ-quasi-nonexpansive mappings in modular function spaces
Abstract
We constructed a Mann-type iteration process for a finite family of multivalued mappings in modular function spaces and the sequence of the algorithm is proved to be a common ρ-approximate fixed point sequence. Using this algorithm we also proved the ρ-converge theorems to common fixed points of finite family of mappings. By doing so we extended very recent results of Zegeye et al.
Copyright © 2018 Wondimu Woldie Kassu, Mengistu Goa Sangago, Habtu Zegeye. 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
W. W. Kassu, M. G. Sangago, H. Zegeye, Convergence theorems to common fixed points of multi-valued ρ-quasi-nonexpansive mappings in modular function spaces, Adv. Fixed Point Theory 8 (2018), 21–36. https://doi.org/10.28919/afpt/3504
BibTeX
@article{Kassu2018,
author = {Kassu, Wondimu Woldie and Sangago, Mengistu Goa and Zegeye, Habtu},
title = {Convergence theorems to common fixed points of multi-valued ρ-quasi-nonexpansive mappings in modular function spaces},
journal = {Adv. Fixed Point Theory},
volume = {8},
year = {2018},
pages = {21--36},
doi = {10.28919/afpt/3504}
}