Solving the Fredholm Integral Equation by Common Fixed Point Results in Bicomplex Valued Metric Spaces

Abstract

The purpose of this research work is to explore the solution of the Fredholm integral equation by common fixed point results in bicomplex valued metric spaces. In this way, we develop some common fixed point theorems for generalized contractions containing point-dependent control functions in the context of bicomplex valued metric spaces. An illustrative and practical example is also given to show the novelty of the most important result.

Keywords

• Fredholm integral equation
• bicomplex valued metric space
• common fixed point
• point-dependent control functions