Cone metric spaces and fixed point theorems of T-Kannan contractive mappings

TL;DR

This paper establishes conditions under which T-Kannan contractive mappings in complete cone metric spaces have unique fixed points, extending fixed point theory in cone metric contexts.

Contribution

It introduces new fixed point results for T-Kannan type mappings in cone metric spaces dependent on an auxiliary function.

Findings

Established existence and uniqueness of fixed points for T-Kannan mappings

Extended fixed point theory to cone metric spaces with additional function dependence

Provided sufficient conditions for fixed point existence in this setting

Abstract

The purpose of this paper is to obtain sufficient conditions for the existence of a unique fixed point of T-Kannan type mappings on complete cone metric spaces depended on another function.