Approximating common fixed points under generalized rational contractions in 2-Banach spaces with applications
Abstract
In this manuscript, the existence and uniqueness of common fixed points of a family of self-mappings under more generalized rational contractive conditions in 2-Banach spaces are obtained with an illustrative example. Then the common fixed points are approximated by means of Krasnoselskii, Mann and Picard type iteration schemes. Later, an application to well-posedness of the common fixed point problem is provided. The obtained results generalize and improve many well-known results in the literature.
Copyright © 2020 D. Ramesh Kumar, M. Prabavathy. 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
D. R. Kumar, M. Prabavathy, Approximating common fixed points under generalized rational contractions in 2-Banach spaces with applications, Adv. Fixed Point Theory 10 (2020), 4. https://doi.org/10.28919/afpt/4119
BibTeX
@article{Kumar2020,
author = {Kumar, D. Ramesh and Prabavathy, M.},
title = {Approximating common fixed points under generalized rational contractions in 2-Banach spaces with applications},
journal = {Adv. Fixed Point Theory},
volume = {10},
year = {2020},
pages = {4},
doi = {10.28919/afpt/4119}
}