Document Type : Research Paper

Author

• Rashwan Ahmed Rashwan

Department of Mathematics Faculty of Science, Assiut University Assiut, Egypt

Abstract

In this paper, we introduce a fixed point theorem for a general contractive condition in complex-valued metric spaces. Also, some important corollaries under this contractive condition are obtained. As an application, we nd a unique solution for Urysohn integral equations and some illustrative examples are given to support our obtaining results. Our results extend and generalize the results of Azam et al. [2] and some other known results in the literature.

Keywords

• ingle-valued mappings
• complex valued metric spaces
• common fixed point
• nonlinear integral equations