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

[1]

Alber Y., 2001, Analysis (Munich), V21, P17

[2]

ALBER YI, 1996, BANACH SPACES PROPER, P15

[3]

ALBER YI, 2000, COMMUN APPL NONLINEA, V7, P1

[4] METHODS OF APPROXIMATION AND ITERATION FOR MONOTONE OPERATERS [J].

BREZIS, H ;

SIBONY, M .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1968, 28 (01) :59-&

[5] EXISTENCE AND APPROXIMATION OF SOLUTIONS OF NONLINEAR VARIATIONAL INEQUALITIES [J].

BROWDER, FE .

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1966, 56 (04) :1080-&

[6] PROPERTIES OF FIXED-POINT SETS OF NONEXPANSIVE MAPPINGS IN BANACH SPACES [J].

BRUCK, RE .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 179 (MAY) :251-262

[7]

BRUCK RE, 1978, ISRAEL J MATH, V29, P1, DOI 10.1007/BF02760397

[8] NONEXPANSIVE RETRACTS OF BANACH SPACES [J].

BRUCK, RE .

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1970, 76 (02) :384-&

[9]

Butnariu D., 2000, Applied optimization, V40

[10]

Ibaraki T., 2003, Abstract and Applied Analysis, V2003, P621, DOI 10.1155/S1085337503207065

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