On The Farthest Point Problem In Hilbert Spaces
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Published:2023-10-30
Issue:4
Volume:16
Page:2397-2404
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ISSN:1307-5543
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Container-title:European Journal of Pure and Applied Mathematics
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language:
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Short-container-title:Eur. J. Pure Appl. Math.
Author:
Yousef Abdelrahman,Khalil Roshdi,Tallafha Abdullah,Mutabagani B.
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.
Publisher
New York Business Global LLC
Subject
Applied Mathematics,Geometry and Topology,Numerical Analysis,Statistics and Probability,Algebra and Number Theory,Theoretical Computer Science