Fixed Points for Ciric-G-Contractions in Uniform Spaces Endowed with a Graph

TL;DR

This paper extends the concept of generalized contractions to uniform spaces with graphs, establishing conditions for fixed point existence and uniqueness using basic entourages.

Contribution

It introduces a new fixed point theory for Ciric-G-contractions in uniform spaces with graphs, broadening previous metric space results.

Findings

Established fixed point existence under new contraction conditions

Proved uniqueness of fixed points in the generalized setting

Extended classical fixed point theorems to uniform spaces with graphs

Abstract

In this paper, we generalize the notion of $\lambda$-generalized contractions introduced by \'Ciri\'c from metric to uniform spaces endowed with a graph and discuss on the existence and uniqueness of fixed points for this type of contractions using the basic entourages.