On co-Farthest Points in Normed Linear Spaces
Publish place: Theory of Approximation and Applications، Vol: 12، Issue: 1
Publish Year: 1397
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_MSJI-12-1_008
تاریخ نمایه سازی: 26 مرداد 1402
Abstract:
In this paper, we consider the concepts co-farthest points innormed linear spaces. At first, we define farthest points, farthest orthogonalityin normed linear spaces. Then we define 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.
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Authors
Hamid Mazaheri Tehrani
Faculty of Mathematics, Yazd University, Yazd, Iran
S. M. Moosavi
Department of Mathematics, Rafsanjan University, Rafsanjan, Iran
M. A Dehghan
Department of Mathematics, Rafsanjan University, Rafsanjan, Iran
Z. Bizhanzadeh
Faculty of Mathematics, Yazd University, Yazd, Iran