A look at proximinal and Chebyshev sets in Banach spaces

Authors

  • Hadi Haghshenas
  • Amanollah Assadi
  • T.D. Narang

Keywords:

Approximatively compact, Proximinality, Chebyshevity, Minimizing sequence.

Abstract

The main aim of this survey is to present some classical as well asrecent characterizations involving the notion of proximinal and Chebyshev sets inBanach spaces. In particular, we discuss the convexity of Chebyshev sets.

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Published

2014-05-12

Issue

Section

Articoli