Functional contractions in local Branciari metric spaces

TL;DR

This paper establishes a fixed point theorem for a class of functional contractions within local Branciari metric spaces, extending previous results in the area.

Contribution

It introduces a new fixed point result for functional contractions in local Branciari metric spaces, expanding the theoretical framework beyond prior work.

Findings

Fixed point theorem for functional contractions in local Branciari metric spaces

Extension of previous results by Fora et al

Broader applicability of fixed point results in generalized metric spaces

Abstract

A fixed point result is given for a class of functional contractions over local Branciari metric spaces. It extends some contributions in the area due to Fora et al [Mat. Vesnik, 61 (2009), 203-208].