Fixed points of multivalued contractions via generalized class of simulation functions

TL;DR

This paper introduces a broader class of simulation functions to establish fixed point results for multivalued mappings in alpha-complete metric spaces, extending existing theories and demonstrating their applicability.

Contribution

It generalizes fixed point theorems for multivalued contractions using a new class of simulation functions in alpha-complete metric spaces.

Findings

Extended fixed point results for multivalued mappings

Generalized simulation functions applicable to broader classes

Illustrative examples demonstrating theory's usability

Abstract

In this paper, considering a wider class of simulation functions some fixed point results for multivalued mappings in $\alpha$-complete metric spaces have been presented. Results obtained in this paper extend and generalize some well-known fixed point results of the literature. Some examples and consequence are given to illustrate the usability of the theory.