A new projection and convergence theorems for the projections in Banach spaces

被引：91

作者：

Ibaraki, Takanori ^{[2
]}

Takahashi, Wataru ^{[1
]}

机构：

[1] Tokyo Inst Technol, Dept Math & Comp Sci, Meguro Ku, Tokyo 1528552, Japan

[2] Nagoya Univ, Chikusa Ku, Aichi 4648601, Japan

来源：

JOURNAL OF APPROXIMATION THEORY | 2007年 / 149卷 / 01期

关键词：

sunny retraction; sunny retract; nonexpansive mapping; Mosco convergence; Banach space;

D O I：

10.1016/j.jat.2007.04.003

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce a new projection in a Banach space and show an example of the projections. Then, we study the Mosco convergence of a sequence of nonempty sets concerning the projections in a Banach space. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：1 / 14

页数：14

共 22 条

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