10.1007/s40096-020-00338-5

R-topological spaces and SR-topological spaces with their applications

  • Siamak Khalehoghli1,
  • Hamidreza Rahimi*1,
  • Majid Eshaghi Gordji2,
  1. Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, IR
  2. Department of Mathematics, Semnan University, Semnan, IR

Published in Issue 2020-06-18

How to Cite

Khalehoghli, S., Rahimi, H., & Eshaghi Gordji, M. (2020). R-topological spaces and SR-topological spaces with their applications. Mathematical Sciences, 14(3 (September 2020). https://doi.org/10.1007/s40096-020-00338-5
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Abstract

Abstract In this paper, a new and applied concept of topological spaces based upon relations is introduced. These topological spaces are called R -topological spaces and SR -topological spaces. Some of the properties of these spaces and their relationship with the initial topological space are verified. Moreover, some of their applications for example in fixed point theory, functional analysis, C∗\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$C^*$$\end{document} -algebras and etc, is verified.

Keywords

  • Topological space,
  • Net,
  • R-topological space,
  • SR-topological space,
  • Fixed point

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