Fixed-Point Theorem For Mappings Satisfying a General Contractive Condition Of Integral Type Depended an Another Function

TL;DR

This paper proves a new fixed-point theorem for mappings satisfying a generalized integral contractive condition involving another function, extending previous theorems by Branciari and Rhoades.

Contribution

It introduces a broader fixed-point theorem for integral-type contractive mappings dependent on an auxiliary function, expanding existing fixed-point results.

Findings

Established a new fixed-point theorem for integral contractive mappings

Extended previous theorems by Branciari and Rhoades

Provided conditions under which fixed points exist for generalized mappings

Abstract

We established a fixed-point theorem for mapping satisfying a general contractive inequality of integral type depended an another function. This theorem substantially extend the theorem due to Branciari (2003) and Rhoades (2003)