A look at proximinal and Chebyshev sets in Banach spaces

  • 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.
Published
2014-05-12
Section
Articoli