Common Fixed Point Theorems for Four Transformations in Vector S-metric Spaces

TL;DR

This paper proves new common fixed point theorems for four transformations in vector S-metric spaces, utilizing weak compatibility concepts and the CLR (p,q) property, expanding fixed point theory in generalized metric spaces.

Contribution

It introduces novel fixed point results for four transformations in vector S-metric spaces using weak compatibility and CLR (p,q) properties, which are new in this context.

Findings

Established fixed point theorems using weak compatibility concepts.

Extended fixed point results to vector S-metric spaces.

Demonstrated the applicability of CLR (p,q) property in this setting.

Abstract

We establish some common fixed point results for four transformations in vector S-metric spaces by using the notion of weakly compatibility (WC) and occasionally weakly compatibility (OWC). The first theorem is proved by using the concept of CLR (p,q) property (common limit range property w.r.t. transformations p and q) and weakly compatiblity whereas second theorem is proved by using the concept of occasionally weakly compatiblity