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Luo, Z.H. and Sun, L.F. (2013) The Sum of Weakly Compact Sets and Proximinal Sets. Journal of Xiamen University (Natural Science), 52, 157-159. (In Chinese)

has been cited by the following article:

• TITLE: A Note on Ball Proximinality

  AUTHORS: Bo Wang, Xiaoyan Liu

  KEYWORDS: Ball Proximinal, Strongly Ball Proximinal, Uniformly Ball Proximinal, Equable Spaces

  JOURNAL NAME: Applied Mathematics, Vol.11 No.11, November 25, 2020

  ABSTRACT: In this paper, we prove when these x ∈ l2 with , they have the common δ for strongly ball proximinal. By using this property, we can prove the strong ball proximinality of l∞(l2). Also, we show that equable subspace Y of a Banach space X is actually uniform ball proximinality.