Fixed point theorems for generalized $\theta-\phi-$contraction mappings in rectangular quasi b-metric spaces

TL;DR

This paper introduces fixed point theorems for generalized contraction mappings within rectangular quasi b-metric spaces, broadening the scope of existing fixed point results in these generalized metric spaces.

Contribution

It defines generalized $(\theta,\phi)$-contraction mappings and establishes new fixed point theorems in rectangular quasi b-metric spaces, extending prior results.

Findings

Fixed point theorems for generalized $(\theta,\phi)$-contraction mappings

Generalization of existing fixed point results

Supporting examples demonstrating the main theorems

Abstract

A generalized version of both rectangular metric spaces and rectangular quasi-metric spaces is known as rectangular quasi b-metric spaces (RQB-MS). In the current work, we define generalized $( \theta,\phi) $-contraction mappings and study fixed point (FP) results for the maps introduced in the setting of rectangular quasi b-metric spaces. Our results generalize many existing results. We also provide examples in support of our main findings.