Viscosity approximation methods for a family of m-accretive mappings in reflexive Banach spaces

被引：19

作者：

Cho, Yeol Je ^{[1
]}

Qin, Xiaolong

机构：

[1] Gyeongsang Natl Univ, Dept Math Educ, Chinju 660701, South Korea

来源：

POSITIVITY | 2008年 / 12卷 / 03期

关键词：

accretive mapping; pseudo-contractive mapping; m-accretive mapping; reflexive Banach space; weakly continuous duality mapping;

D O I：

10.1007/s11117-007-2181-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The purpose of this paper is to introduce a general iterative algorithm by viscosity method to approximate a common point of a finite family of m-accretive mappings in a reflexive Banach space which has a weakly continuous duality mapping. We obtain strong convergence theorems under some mild conditions imposed on parameters.

引用

页码：483 / 494

页数：12

共 23 条

[1] Iterative solutions for zeros of accretive operators
Benavides, TD
López-Acedo, G
Xu, HK
[J]. MATHEMATISCHE NACHRICHTEN, 2003, 248 : 62 - 71
[2] BROWDER FE, 1967, ARCH RATION MECH AN, V24, P82
[3] FIXED-POINT THEOREMS FOR NONCOMPACT MAPPINGS IN HILBERT SPACE
BROWDER, FE
[J]. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1965, 53 (06) : 1272 - &
[4] CONVERGENCE THEOREMS FOR SEQUENCES OF NONLINEAR OPERATORS IN BANACH SPACES
BROWDER, FE
[J]. MATHEMATISCHE ZEITSCHRIFT, 1967, 100 (03) : 201 - &
[5] NONEXPANSIVE PROJECTIONS ON SUBSETS OF BANACH SPACES
BRUCK, RE
[J]. PACIFIC JOURNAL OF MATHEMATICS, 1973, 47 (02) : 341 - 355
[6] Viscosity approximation methods for a finite family of nonexpansive mappings in Banach spaces
Chang, Shih-Sen
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 323 (02) : 1402 - 1416
[7] CHEN R, VISCOSITY APPROXIMAT
[8] Strong convergence of modified Mann iterations
Kim, TH
Xu, HK
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, 61 (1-2) : 51 - 60
[9] FIXED-POINT THEOREMS FOR ASYMPTOTICALLY NONEXPANSIVE-MAPPINGS
LIM, TC
XU, HK
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1994, 22 (11) : 1345 - 1355
[10] Viscosity approximation methods for fixed-points problems
Moudafi, A
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2000, 241 (01) : 46 - 55

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