Fixed point results for Pre\v{s}i\'c type contractive mappings in $b$-metric spaces

TL;DR

This paper establishes fixed point theorems for Prešić type contractive mappings within b-metric spaces and explores the stability of their fixed point sets, supported by illustrative examples.

Contribution

It introduces new fixed point results for generalized Prešić type mappings in b-metric spaces, extending existing theories.

Findings

Fixed point theorems for Prešić type mappings in b-metric spaces

Stability results for fixed point sets of these mappings

Numerical examples validating the main results

Abstract

The fixed point results for generalized Pre\v{s}i\'c type mappings in the setup of $b$-metric spaces are obtained. The stability of fixed point set of Pre\v{s}i\'c type mappings is also established. Several examples are also presented to illustrate the validity of the main results.