REMOTAL CENTERS AND CHEBYSHEV CENITERS IN NORMED SPACES

Subject Areas : Applied Mathematics

Hamid Tehrani ¹ ( Department of Mathematics, Yazd University, Yazd, Iran )
M.J. SALEHI ² ( Department of Mathematical, Payame Noor University(PNU), P.O.Box 19395-3697, Tehran, Iran. )

Received: 2019-08-23 Accepted : 2020-04-17 Published : 2021-12-01

Keywords: Remotal centers, Nearest points, Chebyshev centers, Far- thest points,

Abstract :

In this paper, we consider Nearest points" and Farthestpoints" in normed linear spaces. For normed space (X; ∥:∥), the set W subset X,we dene Pg; Fg;Rg where g 2 W. We obtion results about on Pg; Fg;Rg. Wend new results on Chebyshev centers in normed spaces. In nally we deneremotal center in normed spaces.