Common fixed points for generalized ψ-∅-weak contraction in metric space
Abstract
In this paper, we first prove some common fixed point theorems for weakly compatible mappings, Point wise and R-weakly commuting mappings, Reciprocally continuous Mappings, R-weakly commuting mappings of type (Af), type (Ag), type (P) satisfying a generalized ∅-weak contraction condition that involves cubic terms of . Secondly, we prove common fixed point theorems for weakly compatible mappings along with (E.A) property and (CLR) property. At the last of each theorems, we give corollaries and applications in support of our theorems.
Copyright © 2021 Anamika -, Balbir Singh, Pawan Kumar, Sanjay Kumar, Meenakshi Gugnani. 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
A. -, B. Singh, P. Kumar, S. Kumar, M. Gugnani, Common fixed points for generalized ψ-∅-weak contraction in metric space, J. Math. Comput. Sci. 11 (2021), 6365–6391. https://doi.org/10.28919/jmcs/5894
BibTeX
@article{-2021,
author = {-, Anamika and Singh, Balbir and Kumar, Pawan and Kumar, Sanjay and Gugnani, Meenakshi},
title = {Common fixed points for generalized ψ-∅-weak contraction in metric space},
journal = {J. Math. Comput. Sci.},
volume = {11},
year = {2021},
pages = {6365--6391},
doi = {10.28919/jmcs/5894}
}