Remotality and proximinality in normed linear spaces
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Abstract:
In this paper, we consider the concepts farthest points and nearest points in normed linear spaces, We obtain a necessary and coecient conditions for proximinal, Chebyshev, remotal and uniquely remotal subsets in normed linear spaces. Also, we consider -remotality, -proximinality, coproximinality and co-remotality.
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Journal title
volume 6 issue 2
pages 73- 80
publication date 2017-05-01
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