Common Fixed Point Theorems in Complex-Valued Controlled Metric Spaces with Application

Abstract

The objective of this article is to establish common fixed point results in the background of complex-valued controlled metric spaces for generalized rational contractions. Our findings generalize a number of well-established results in the literature. To highlight the uniqueness of our key finding, we present an example. As a demonstration of the applicability of our principal theorem, we solve the Volterra integral equation.

Keywords

• complex-valued controlled metric type space
• common fixed point
• rational expressions
• Volterra integral equation