Every Uniquely Remotal Set in a Hilbert Space is aSingleton

Authors

  • Roshdi Rashid Khalil University of jordan
  • Abdelrahman Yousef
  • Waseem Alshanti
  • Ma'mon Abu Hammad

DOI:

https://doi.org/10.29020/nybg.ejpam.v17i4.5341

Keywords:

uniquely remotal, singleton, Farthest points, Uniquely distant sets

Abstract

In this paper we prove that every uniquely remotal set in a Hilbert space is a singleton.

Author Biography

  • Roshdi Rashid Khalil, University of jordan

    mathematics/professor

Downloads

Published

2024-10-31

Issue

Vol. 17 No. 4: (October 2024)

Section

Nonlinear Analysis

License

Copyright (c) 2024 Roshdi Rashid Khalil, Abdelrahman Yousef, Waseem Alshanti, Ma'mon Abu Hammad

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

Upon acceptance of an article by the European Journal of Pure and Applied Mathematics, the author(s) retain the copyright to the article. However, by submitting your work, you agree that the article will be published under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0). This license allows others to copy, distribute, and adapt your work, provided proper attribution is given to the original author(s) and source. However, the work cannot be used for commercial purposes.

By agreeing to this statement, you acknowledge that:

  • You retain full copyright over your work.
  • The European Journal of Pure and Applied Mathematics will publish your work under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0).
  • This license allows others to use and share your work for non-commercial purposes, provided they give appropriate credit to the original author(s) and source.

How to Cite

Every Uniquely Remotal Set in a Hilbert Space is aSingleton. (2024). European Journal of Pure and Applied Mathematics, 17(4), 2985-2989. https://doi.org/10.29020/nybg.ejpam.v17i4.5341