Metric Projection Operator and Continuity of the Set-Valued Metric Generalized Inverse in Banach Spaces

被引：4

作者：

Shang, Shaoqiang ^{[1
]}

Zhang, Jingxin ^{[2
]}

机构：

[1] Northeast Forestry Univ, Dept Math, Harbin 150040, Heilongjiang, Peoples R China

[2] Harbin Univ Commerce, Dept Math & Appl Math, Harbin 150028, Heilongjiang, Peoples R China

来源：

JOURNAL OF FUNCTION SPACES | 2017年 / 2017卷

关键词：

APPROXIMATIVE COMPACTNESS; PERTURBATION ANALYSIS; LINEAR-OPERATORS;

D O I：

10.1155/2017/7151430

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, continuous homogeneous selection and continuity for the set-valued metric generalized inverses T-partial derivative in 3-strictly convex spaces are investigated by continuity of metric projection. The results are an answer to the problem posed by Nashed and Votruba. Moreover, authors prove that there exists a proximinal hyperplane.. such that P-H is continuous and.. is not approximative compact.

引用

页数：8

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