The convexity of Chebyshev sets in normed spaces

Author(s):

H. Mazaheri * , MohammadJafar Salehi

Message:
Article Type:
Research/Original Article (بدون رتبه معتبر)
Abstract:

In this paper, we consider “Nearest points” and “Farthest points” in inner product spaces and Hilbert spaces. The convexity of Chebyshev sets in Hilbert spacse is an open problem. In this paper we define sun sets and sunrise sets in normed spaces.

Keywords:

Chebyshev centers , Uniquely remotal centers , Nearest points , Farthest points , Sun sets

Language:
English
Published:
Journal of Mahani Mathematical Research, Volume:10 Issue: 1, Winter and Spring 2021
Pages:
111 to 117
https://www.magiran.com/p2283372