Volume 11 - Volume 11
Common Fixed Point Theorems for Six Self Maps in FM-Spaces Using Common Limit in Range Concerning Two Pairs of Products of Two Different Self-maps
Abstract
In this article, we do a study of common fixed point theorems for six self-maps in FM-Spaces using
common limit in range property concerning two pairs of products of two different self-maps. We use
the properties (CLRTH) and (CLRSR) along with contractive type implicit relations to prove our
results. In support of our result, an example has been provided. Our findings are like those of Kumar
and Chouhan [12]. Kumar and Chauhan demonstrated their primary result in [12] by improving and
generalizing Aalam, Kumar, and Pants' [1] results. In past, many authors have done study of common
fixed point using (E-A) property (like Aalam et. al. [1] proved results using this property), and then
these results were improved and generalized by using common (E-A) property as this property is
superior to (E-A) property, as the closeness of subspace is required to prove a required result on
common fixed point by using these properties, which is a drawback. We improve and generalize all
results on these properties using common limit in range property. The goal of this note is to refine and
generalize Kumar and Chauhan's [12] results on a common fixed point, as well as some earlier
comparable results.
Paper Details
PaperID: 2588
Author's Name: Praveen Kumar Sharma and Shivram Sharma
Volume: Volume 11
Issues: Volume 11
Keywords: Fuzzy Metric Spaces (FM-spaces), Common Fixed Point (CFP), Weak Compatible Maps (WCM), Implicit Relations, CLR Property.
Year: 2021
Month: September
Pages: 5634-5642