Generalized Baker's result and stability of functional equations using fixed point results

TL;DR

This paper investigates the Hyre-Ulam stability of functional equations in non-triangular metric spaces using fixed point theorems, and extends Baker's theorem to a more general setting.

Contribution

It introduces fixed point results in non-triangular metric spaces and applies them to establish a generalized Baker's theorem and stability results.

Findings

Hyre-Ulam stability established in non-triangular metric spaces

Fixed point theorems developed for these spaces

Generalized Baker's theorem derived as a consequence

Abstract

Hyre-Ulam stability of functional equation in single variable is studied in non-triangular metric spaces. We derive it as applications of some fixed point results developed on the said structure. A general version of Baker's theorem is also deduced as a consequence.