Remotality and proximinality in normed linear spaces

Document Type : Research Paper

Authors

1 Yazd University

2 Valiasr Rafsanjan University, Rafsanjan, Iran

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.

Keywords