Common fixed point theorems for weakly compatible mappings using generalized ψ-weak contraction
Abstract
In this paper, first we introduce generalized ψ-weak contraction condition that involves cubic and quadratic terms of distance function d(x,y). Secondly; we discuss common fixed point theorems for weakly compatible and weakly compatible mappings along with property (E.A.) and common limit range property. At the end, we provide an example and an application of our main theorem satisfying integral type contraction condition.
Copyright © 2020 Pawan Kumar, Neeru Yadav, Balbir Singh. 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. Kumar, N. Yadav, B. Singh, Common fixed point theorems for weakly compatible mappings using generalized ψ-weak contraction, J. Math. Comput. Sci. 11 (2021), 661–676. https://doi.org/10.28919/jmcs/5158
BibTeX
@article{Kumar2021,
author = {Kumar, Pawan and Yadav, Neeru and Singh, Balbir},
title = {Common fixed point theorems for weakly compatible mappings using generalized ψ-weak contraction},
journal = {J. Math. Comput. Sci.},
volume = {11},
year = {2021},
pages = {661--676},
doi = {10.28919/jmcs/5158}
}