On co-Farthest Points in Normed Linear Spaces
محورهای موضوعی : Applied MathematicsHamid Mazaheri Tehrani 1 , S. M. Moosavi 2 , M. A Dehghan 3 , Z. Bizhanzadeh 4
1 - Faculty of Mathematics, Yazd University, Yazd, Iran
2 - Department of Mathematics, Rafsanjan University, Rafsanjan, Iran
3 - Department of Mathematics, Rafsanjan University, Rafsanjan, Iran
4 - Faculty of Mathematics, Yazd University, Yazd, Iran
کلید واژه: Farthest points, Co-farthest map, Co-farthest points,
چکیده مقاله :
In this paper, we consider the concepts co-farthest points innormed linear spaces. At first, we defi ne farthest points, farthest orthogonalityin normed linear spaces. Then we de fine co-farthest points, co-remotal sets,co-uniquely sets and co-farthest maps. We shall prove some theorems aboutco-farthest points, co-remotal sets. We obtain a necessary and coecient conditionsabout co-farthest points and dual space. Also, we show that everyco-remotal set is co-uniquely set.
