Document Type : Research Paper

Authors

• Hamid Mazaheri Tehrani
• Narjes Khatoon Hamidi

Department of Mathematics Sciences, Yazd University, Yazd, Iran

Abstract

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.

Keywords

• Uniquely remotal centers
• Relative uniquely remotal centers
• Chebyshev centers
• Relative Chebyshev centers
• Sunsets
• Sunrise sets
• Relative sunrise sets