Relative uniquely remotal centers in normed linear spaces

نویسندگان
Mazaheri Tehrani, Hamid ID 1
Hamidi, Narjes Khatoon ID 2

1 Department of Mathematics Sciences, Yazd University, Yazd, Iran

2 Department of Mathematics Sciences, Yazd University, Yazd, Iran

doi
10.22075/ijnaa.2021.23810.2616
چکیده

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.

کلیدواژه‌ها
Uniquely remotal centers, Relative uniquely remotal centers, Chebyshev centers, Relative Chebyshev centers, Sunsets, Sunrise sets, Relative sunrise sets