Coupled fixed point theorems for twisted (α,β)−ψ-expansive mappings
Abstract
In this paper, we introduce a new concept of cyclic and cyclic ordered α−ψ expansive mappings and investigate the existence of a fixed point for the mappings in this class. Further, we shall derive coupled fixed point theorems in complete metric spaces. The presented theorems generalize and improve many existing results in the literature. Moreover, some examples are given to illustrate our results.
Copyright © 2021 Manoj Kumar, Preeti Bhardwaj. 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
M. Kumar, P. Bhardwaj, Coupled fixed point theorems for twisted (α,β)−ψ-expansive mappings, J. Math. Comput. Sci. 11 (2021), 1176–1192. https://doi.org/10.28919/jmcs/5308
BibTeX
@article{Kumar2021,
author = {Kumar, Manoj and Bhardwaj, Preeti},
title = {Coupled fixed point theorems for twisted (α,β)−ψ-expansive mappings},
journal = {J. Math. Comput. Sci.},
volume = {11},
year = {2021},
pages = {1176--1192},
doi = {10.28919/jmcs/5308}
}