The convexity of Chebyshev sets in normed spaces

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.

کلیدواژه ها:

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