NONLINEAR SIMULTANEOUS APPROXIMATION IN COMPLETE LATTICE BANACH SPACES

被引：2
|
作者：
Fang, Donghui [1 ]
Luo, Xianfa [2 ]
Li, Chong [1 ]
机构：
[1] Zhejiang Univ, Dept Math, Hangzhou 310027, Zhejiang, Peoples R China
[2] China Jiliang Univ, Dept Math & Informat Sci, Hangzhou 310038, Zhejiang, Peoples R China
来源：
TAIWANESE JOURNAL OF MATHEMATICS | 2008年 / 12卷 / 09期
基金：
中国国家自然科学基金;
关键词：
Conditional complete lattices Banach space; Sun; Simultaneous sun; Simultaneous approximation; Characterization;
D O I：
10.11650/twjm/1500405185
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper is concerned with the problem of nonlinear best simultaneous approximations in conditional complete lattice Banach spaces with a strong unit. Characterization results of the best simultaneous approximation from simultaneous suns and suns are established. A counterexample, to which the characterization theorem for convex sets due to Mohebi (Numer. Funct. Anal. Optim., 25 (2004), 685-705) fails, is provided and a corrected version of the theorem is presented.
引用
收藏
页码：2373 / 2385
页数：13
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