Solving Urysohn integral equations by common fixed point results in complex valued metric spaces

Abstract

The purpose of this article is to investigate the existence of solutions for Urysohn integral equations. To achieve our objectives, we take advantage of common fixed point results for self-mappings satisfying a generalized contraction involving control functions of two variables in the context of complex valued metric spaces. We also supply a non-trivial example to show the validity of obtained results.

Keywords

• common fixed point
• urysohn integral equations
• closed ball
• generalized contractions