Best coapproximation in quotient spaces

被引：2
|
作者：
Mazaheri, H. [1 ]
机构：
[1] Yazd Univ, Fac Math, Yazd, Iran
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2008年 / 68卷 / 10期
关键词：
upper semi-continuous; boundedly compact set; coproximinal subspaces; co-chebyshev subspace;
D O I：
10.1016/j.na.2007.03.005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
As a counterpart to best approximation in normed linear spaces, best coapproximation was introduced by Franchetti and Furi. In this paper, we apply the above coapproximation, and obtain some results on the upper semi-continuity of cometric projection maps. Also we shall determine under what conditions coproximinality can be transmitted to and from quotient spaces. (C) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码：3122 / 3126
页数：5
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