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


Articles in Press, Corrected Proof
Available Online from 20 April 2022
  • Receive Date: 09 December 2020
  • Revise Date: 30 December 2020
  • Accept Date: 12 September 2021
  • First Publish Date: 20 April 2022