Fixed Point Results in Complex Valued Metric Spaces and an Application

Document Type : Research Paper


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



In this paper, we introduce xed 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.