An Extended Reich Fixed Point Theorem

TL;DR

This paper extends the Reich fixed point theorem to generalized cone rectangular metric spaces, removing the normality assumption of the cone, thereby broadening the theorem's applicability.

Contribution

It generalizes the Reich fixed point theorem to a wider class of spaces without requiring cone normality, building on previous results.

Findings

Established a fixed point theorem in generalized cone rectangular metric spaces

Removed the normality condition of the cone in the theorem

Extended the applicability of fixed point results to new space classes

Abstract

We obtain an extended Reich fixed point theorem for the setting of generalized cone rectangular metric spaces without assuming the normality of the underlying cone. Our work is a generalization of the main result in \cite{AAB} and \cite{JS}.