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 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.


Articles in Press, Accepted Manuscript
Available Online from 01 January 2022
  • Receive Date: 27 September 2018
  • Accept Date: 28 September 2020
  • First Publish Date: 14 October 2021