The convexity of Chebyshev sets in normed spaces

Document Type : Research Paper

Authors

1 Yazd University

2 Payame Noore Shiraz

10.22103/jmmrc.2021.14355.1097

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