Some Characterizations for a Family of Nonexpansive Mappings and Convergence of a Generated Sequence to Their Common Fixed Point

被引：5

作者：

Kimura, Yasunori ^{[1
]}

Nakajo, Kazuhide ^{[2
]}

机构：

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

[2] Tamagawa Univ, Fac Engn, Machida, Tokyo 1948610, Japan

来源：

FIXED POINT THEORY AND APPLICATIONS | 2010年

基金：

日本学术振兴会;

关键词：

BANACH-SPACES; THEOREMS; APPROXIMATION; RESOLVENTS; OPERATORS;

D O I：

10.1155/2010/732872

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Motivated by the method of Xu (2006) and Matsushita and Takahashi (2008), we characterize the set of all common fixed points of a family of nonexpansive mappings by the notion of Mosco convergence and prove strong convergence theorems for nonexpansive mappings and semigroups in a uniformly convex Banach space.

引用

页数：16

共 36 条

[1]

Alber Y.I., 1996, LECT NOTES PURE APPL, P15

[2]

[Anonymous], 1984, Monogr. Textbooks Pure Appl. Math.

[3]

[Anonymous], 2001, J KOREAN MATH SOC

[4]

[Anonymous], 1997, ANN U MARIAC CURIE S

[5] Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space [J].

Aoyama, Koji ;

Kimura, Yasunori ;

Takahashi, Wataru ;

Toyoda, Masashi .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 67 (08) :2350-2360

[6]

ATSUSHIBA S, 2000, J NONLINEAR CONVEX A, V1, P351

[7] A weak-to-strong convergence principle for Fejer-monotone methods in Hilbert spaces [J].

Bauschke, HH ;

Combettes, PL .

MATHEMATICS OF OPERATIONS RESEARCH, 2001, 26 (02) :248-264

[8]

Beer G., 1993, MATH ITS APPL, V268

[9]

BROWDER FE, 1967, ARCH RATION MECH AN, V24, P82

[10] COMMON FIXED-POINT THEOREM FOR A COMMUTING FAMILY OF NONEXPANSIVE MAPPINGS [J].

BRUCK, RE .

PACIFIC JOURNAL OF MATHEMATICS, 1974, 53 (01) :59-71

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