Some results on 2-best coapproximation in quotient generalized 2-normed spaces
type: Item
instance of: scholarly article
title: Some results on 2-best coapproximation in quotient generalized 2-normed spaces
zbMATH Open document ID: 1357.46019
author: Majid Abrishami-Moghaddam
published in: Asia Pacific Journal of Mathematics
publication date: 2016-10-12T00:00:00Z
full work available at URL: 1-1-5.pdf
review text: Summary: In this paper we study the concept of 2-best coapproximation in generalized 2-normed spaces. We introduce the notions of 2-best coapproximation, 2-coproximinal sets and 2-cochebyshev sets and prove some interesting theorems to characterization of 2-best coapproximation elements in quotient spaces.
Mathematics Subject Classification ID: 46B99
Mathematics Subject Classification ID: 41A65
zbMATH DE Number: 6637952
zbMATH Keywords: generalized 2-normed space
zbMATH Keywords: 2-coproximinal
zbMATH Keywords: 2-cochebyshev
MaRDI profile type: Publication
cites work: Q4780740
cites work: Q5657185
cites work: Lineare 2‐normierte Räume
cites work: 2-functionals and some extension theorems in linear spaces
cites work: Linear operators on generalized 2-normed spaces
cites work: On 2-normed sets
cites work: Banach-Steinhaus theorems for bounded linear operators with values in a generalized 2-normed space
cites work: Bounded 2-linear operators on 2-normed sets
cites work: Hahn-Banach theorem in generalized 2-normed spaces
cites work: Some results concerning proximinality and co-proximinality
cites work: Best coapproximation in metric linear spaces
cites work: Best coapproximation in normed linear spaces
cites work: Q4719289
cites work: 2-proximinality in generalized 2-normed spaces
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description: scientific article; zbMATH DE number 6637952