On The Farthest Point Problem In Hilbert Spaces

Authors

  • Abdelrahman Yousef American University of Sharjah
  • Roshdi Khalil The University of Jordan
  • Abdullah Tallafha The University of Jordan
  • B. Mutabagani

DOI:

https://doi.org/10.29020/nybg.ejpam.v16i4.4919

Keywords:

Farthest points, Uniquely remotal sets

Abstract

In an attempt to solve the farthest point problem, we introduce a new class of uniquely remotal sets. Namely, the class of uniquely distant sets. Then, we prove that in a separable Hilbert space, every uniquely distant set is a singleton.

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Published

2023-10-30

How to Cite

Yousef, A., Khalil, R., Tallafha, A., & Mutabagani, B. (2023). On The Farthest Point Problem In Hilbert Spaces. European Journal of Pure and Applied Mathematics, 16(4), 2397–2404. https://doi.org/10.29020/nybg.ejpam.v16i4.4919

Issue

Vol. 16 No. 4: (October 2023)

Section

Nonlinear Analysis

License

Copyright (c) 2023 European Journal of Pure and Applied Mathematics

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