Solving system of Urysohn type integral equation via bicomplex partial b-metric space

TL;DR

This paper introduces bicomplex partial b-metric spaces, proves fixed point theorems within them, and applies these results to solve Urysohn type integral equations, expanding existing mathematical frameworks.

Contribution

The paper develops the concept of bicomplex partial b-metric spaces and establishes new fixed point theorems applicable to Urysohn integral equations.

Findings

Established fixed point theorems in bicomplex partial b-metric spaces.

Generalized existing results to broader mathematical contexts.

Applied fixed point results to solve Urysohn type integral equations.

Abstract

In this paper, we introduce the notion of bicomplex partial b-metric space and prove some common fixed point theorems. Our results generalize and expand some of the literature's well known results. We also explore some of the applications of our key results to Urysohn type integral equations.