Relative uniquely remotal centers in normed linear spaces

Document Type : Research Paper


Department of Mathematics Sciences, Yazd University, Yazd, Iran


In this paper, we consider ``uniquely remotal center" and `` relative uniquely remotal center" in normal spaces. We define relative sun sets and sunrise sets in normal spaces. We show that every uniquely remotal set has zero Chebyshev radius and every remotal set in strictly convex space has at most a singleton Chebyshev center.


Volume 14, Issue 1
January 2023
Pages 1585-1592
  • Receive Date: 28 June 2021
  • Revise Date: 18 July 2021
  • Accept Date: 06 August 2021