Title of article :
Remotality and proximinality in normed linear spaces
Author/Authors :
Mousavi Shams Abad ، S. M. - Valiasr Rafsanjan University , Mazaheri ، H. - Yazd University , Dehghan ، M. A. - VALIASR RAFSANJAN UNIVERSITY
Abstract :
In this paper, we consider \Nearest points and \Farthest points in normed linear spaces, We obtain necessary and sufficient conditions for subsets of normed linear spaces to be proximinal, Chebyshev, Remotal and uniquely remotal.
Keywords :
Nearest points , Proximinal sets , Farthest points , Remotal sets , Uniquely remotal sets , co , Proximinal sets , Chebyshev sets , co , Chebyshev sets
Journal title :
journal of mahani mathematical research center
Journal title :
journal of mahani mathematical research center
