On the Existence of Fixed Points of Contraction Mappings Depending of Two Functions on Cone Metric Spaces

TL;DR

This paper investigates fixed point existence in complete cone metric spaces for mappings satisfying a generalized contraction condition involving two auxiliary functions.

Contribution

It extends fixed point theory by establishing new existence results for contractions depending on two functions in cone metric spaces.

Findings

Proved fixed point existence under generalized contractive conditions.

Extended classical fixed point theorems to cone metric spaces with two-function dependencies.

Provided conditions ensuring fixed points in complete, sequentially compact cone metric spaces.

Abstract

In this paper, we study the existence of fixed points for mappings defined on complete, (sequentially compact) cone metric spaces, satisfying a general contractive inequality depending of two additional mappings.