Banach fixed point theorem on incomplete orthogonal S-metric spaces

Document Type : Research Paper

Authors

1 Departmen of Mathematics, South Tehran Branch, Islamic Azad University, Tehran, Iran

2 Department of Mathematics, Semnan University, Semnan, Iran

3 Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran

Abstract

In this paper, we are interested in obtaining fixed point theorem for mappings in S-metric space by wearing the completeness of S-metric space using relations. As consequences, an application to existence and uniqueness of solution of integral equation is given.

Keywords