On co-Farthest Points in Normed Linear Spaces

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 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.

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