Solving an Integral Equation via Tricomplex-Valued Controlled Metric Spaces

Abstract

In this present study, we propose the concept of tricomplex-controlled metric spaces as a generalization of both controlled metric-type spaces and tricomplex metric-type spaces. In this work, we establish fixed point results using Banach, Kannan and Fisher-type contractions supported with nontrivial examples in the setting of the proposed space. We apply the derived result to find the analytical solution of an integral equation using the fixed point technique under the same metric.

Keywords

• controlled metric-type spaces
• tricomplex-valued controlled metric spaces
• fixed point
• integral equation