SOME RESULTS ON AN ITERATIVE METHOD FOR NONEXPANSIVE MAPPINGS IN BANACH SPACES

被引：0

作者：

Cho, Sun Young ^{[1
]}

Kang, Shin Min ^{[1
,2
]}

Qin, Xiaolong ^{[1
]}

机构：

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

[2] Gyeongsang Natl Univ, RINS, Jinju 660701, South Korea

来源：

ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA | 2009年 / 17卷 / 02期

关键词：

iterative process; nonexpansive mapping; fixed point; strict pseudocontraction; STRONG-CONVERGENCE THEOREMS; FIXED-POINTS; HILBERT SPACE; CONSTRUCTION; CONTRACTIONS; SEMIGROUPS; OPERATORS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the problem of finding a common fixed point of a nonexpansive mapping and a lambda-strict pseudocontraction based on a general iterative process. Strong convergence of iterative sequences generated in the purposed iterative process is obtained in a real Banach space.

引用

页码：83 / 94

页数：12

共 18 条

[1] 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 - &
[2] CONSTRUCTION OF FIXED POINTS OF NONLINEAR MAPPINGS IN HILBERT SPACE
BROWDER, FE
PETRYSHY.WV
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1967, 20 (02) : 197 - &
[3] FIXED-POINTS BY A NEW ITERATION METHOD
ISHIKAWA, S
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 44 (01) : 147 - 150
[4] Strong convergence of modified Mann iterations
Kim, TH
Xu, HK
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, 61 (1-2) : 51 - 60
[5] MEAN VALUE METHODS IN ITERATION
MANN, WR
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1953, 4 (03) : 506 - 510
[6] Strong convergence of the modified Mann iterative method for strict pseudo-contractions
Marino, Giuseppe
Colao, Vittorio
Qin, Xiaolong
Kang, Shin Min
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 57 (03) : 455 - 465
[7] Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups
Nakajo, K
Takahashi, W
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 279 (02) : 372 - 379
[8] Strong convergence of the composite Halpern iteration
Qin, Xiaolong
Su, Yongfu
Shang, Meijuan
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 339 (02) : 996 - 1002
[9] Strong convergence theorems for relatively nonexpansive mappings in a Banach space
Qin, Xiaolong
Su, Yongfu
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 67 (06) : 1958 - 1965
[10] Approximation of a zero point of accretive operator in Banach spaces
Qin, Xiaolong
Su, Yongfu
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 329 (01) : 415 - 424

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