Journal of Mahani Mathematical Research

Journal of Mahani Mathematical Research

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

Volume 6, Issue 2
May 2017
Pages 73-80

  • Receive Date 31 March 2017
  • Revise Date 30 December 2017
  • Accept Date 21 January 2018