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Moudafi's Viscosity Approximations with Demi-Continuous and Strong Pseudo-Contractions for Non-Expansive Semigroups
被引:7
作者
:
Wu, Changqun
论文数:
0
引用数:
0
h-index:
0
机构:
Henan Univ, Sch Business & Adm, Kaifeng 475001, Peoples R China
Henan Univ, Sch Business & Adm, Kaifeng 475001, Peoples R China
Wu, Changqun
[
1
]
Cho, Sun Young
论文数:
0
引用数:
0
h-index:
0
机构:
Gyeongsang Natl Univ, Dept Math, Jinju 660701, South Korea
Henan Univ, Sch Business & Adm, Kaifeng 475001, Peoples R China
Cho, Sun Young
[
2
]
Shang, Meijuan
论文数:
0
引用数:
0
h-index:
0
机构:
Shijiazhuang Univ, Dept Math, Shijiazhuang 050035, Peoples R China
Henan Univ, Sch Business & Adm, Kaifeng 475001, Peoples R China
Shang, Meijuan
[
3
]
机构
:
[1]
Henan Univ, Sch Business & Adm, Kaifeng 475001, Peoples R China
[2]
Gyeongsang Natl Univ, Dept Math, Jinju 660701, South Korea
[3]
Shijiazhuang Univ, Dept Math, Shijiazhuang 050035, Peoples R China
来源
:
JOURNAL OF INEQUALITIES AND APPLICATIONS
|
2010年
关键词
:
STRONG-CONVERGENCE THEOREMS;
COMMON FIXED-POINTS;
BANACH-SPACES;
HILBERT-SPACES;
NONEXPANSIVE-MAPPINGS;
LIPSCHITZ PSEUDOCONTRACTIONS;
ACCRETIVE-OPERATORS;
NONLINEAR MAPPINGS;
FAMILY;
MAPS;
D O I
:
10.1155/2010/645498
中图分类号
:
O29 [应用数学];
学科分类号
:
070104 ;
摘要
:
We consider viscosity approximation methods with demi-continuous strong pseudo-contractions for a non-expansive semigroup. Strong convergence theorems of the purposed iterative process are established in the framework of Hilbert spaces.
引用
收藏
页数:10
相关论文
共 26 条
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BROWDER FE, 1967, ARCH RATION MECH AN, V24, P82
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FIXED-POINT THEOREMS FOR NONCOMPACT MAPPINGS IN HILBERT SPACE
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UNIV SO CALIF,LOS ANGELES,CA 90007
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Abdus Salam Int Ctr Theoret Phys, Trieste, Italy
Abdus Salam Int Ctr Theoret Phys, Trieste, Italy
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Abdus Salam Int Ctr Theoret Phys, Trieste, Italy
Abdus Salam Int Ctr Theoret Phys, Trieste, Italy
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Abdus Salam Int Ctr Theoret Phys, I-34100 Trieste, Italy
Abdus Salam Int Ctr Theoret Phys, I-34100 Trieste, Italy
Chidume, CE
;
Mutangadura, SA
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Abdus Salam Int Ctr Theoret Phys, I-34100 Trieste, Italy
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Viscosity approximation methods for a family of m-accretive mappings in reflexive Banach spaces
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Cho, Yeol Je
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0
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机构:
Gyeongsang Natl Univ, Dept Math Educ, Chinju 660701, South Korea
Gyeongsang Natl Univ, Dept Math Educ, Chinju 660701, South Korea
Cho, Yeol Je
;
Qin, Xiaolong
论文数:
0
引用数:
0
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机构:
Gyeongsang Natl Univ, Dept Math Educ, Chinju 660701, South Korea
Qin, Xiaolong
.
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DEIMLING, K
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0
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机构:
UNIV KIEL,OLSHAUSEN STR 40-60,D-23 KIEL,WEST GERMANY
UNIV KIEL,OLSHAUSEN STR 40-60,D-23 KIEL,WEST GERMANY
DEIMLING, K
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MANUSCRIPTA MATHEMATICA,
1974,
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Convergence of approximants for demicontinuous pseudo-contractive maps in Hilbert spaces
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Lan, KQ
论文数:
0
引用数:
0
h-index:
0
机构:
York Univ, Dept Math & Stat, Toronto, ON M3J IP3, Canada
York Univ, Dept Math & Stat, Toronto, ON M3J IP3, Canada
Lan, KQ
;
Wu, JH
论文数:
0
引用数:
0
h-index:
0
机构:
York Univ, Dept Math & Stat, Toronto, ON M3J IP3, Canada
York Univ, Dept Math & Stat, Toronto, ON M3J IP3, Canada
Wu, JH
.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,
2002,
49
(06)
:737
-746
←
1
2
3
→
共 26 条
[1]
BROWDER FE, 1967, ARCH RATION MECH AN, V24, P82
[2]
FIXED-POINT THEOREMS FOR NONCOMPACT MAPPINGS IN HILBERT SPACE
[J].
BROWDER, FE
论文数:
0
引用数:
0
h-index:
0
BROWDER, FE
.
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA,
1965,
53
(06)
:1272
-&
[3]
NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE
[J].
BROWDER, FE
论文数:
0
引用数:
0
h-index:
0
BROWDER, FE
.
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA,
1965,
54
(04)
:1041
-&
[4]
CONSTRUCTION OF FIXED POINTS OF NONLINEAR MAPPINGS IN HILBERT SPACE
[J].
BROWDER, FE
论文数:
0
引用数:
0
h-index:
0
BROWDER, FE
;
PETRYSHY.WV
论文数:
0
引用数:
0
h-index:
0
PETRYSHY.WV
.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,
1967,
20
(02)
:197
-&
[5]
STRONGLY CONVERGENT ITERATIVE SOLUTION OF 0 EPSILON U(X) FOR A MAXIMAL MONOTONE OPERATOR-U IN HILBERT-SPACE
[J].
BRUCK, RE
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV SO CALIF,LOS ANGELES,CA 90007
UNIV SO CALIF,LOS ANGELES,CA 90007
BRUCK, RE
.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,
1974,
48
(01)
:114
-126
[6]
Approximate fixed point sequences and convergence theorems for Lipschitz pseudocontractive maps
[J].
Chidume, CE
论文数:
0
引用数:
0
h-index:
0
机构:
Abdus Salam Int Ctr Theoret Phys, Trieste, Italy
Abdus Salam Int Ctr Theoret Phys, Trieste, Italy
Chidume, CE
;
Zegeye, H
论文数:
0
引用数:
0
h-index:
0
机构:
Abdus Salam Int Ctr Theoret Phys, Trieste, Italy
Abdus Salam Int Ctr Theoret Phys, Trieste, Italy
Zegeye, H
.
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,
2004,
132
(03)
:831
-840
[7]
An example on the Mann iteration method for Lipschitz pseudocontractions
[J].
Chidume, CE
论文数:
0
引用数:
0
h-index:
0
机构:
Abdus Salam Int Ctr Theoret Phys, I-34100 Trieste, Italy
Abdus Salam Int Ctr Theoret Phys, I-34100 Trieste, Italy
Chidume, CE
;
Mutangadura, SA
论文数:
0
引用数:
0
h-index:
0
机构:
Abdus Salam Int Ctr Theoret Phys, I-34100 Trieste, Italy
Mutangadura, SA
.
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,
2001,
129
(08)
:2359
-2363
[8]
Viscosity approximation methods for a family of m-accretive mappings in reflexive Banach spaces
[J].
Cho, Yeol Je
论文数:
0
引用数:
0
h-index:
0
机构:
Gyeongsang Natl Univ, Dept Math Educ, Chinju 660701, South Korea
Gyeongsang Natl Univ, Dept Math Educ, Chinju 660701, South Korea
Cho, Yeol Je
;
Qin, Xiaolong
论文数:
0
引用数:
0
h-index:
0
机构:
Gyeongsang Natl Univ, Dept Math Educ, Chinju 660701, South Korea
Qin, Xiaolong
.
POSITIVITY,
2008,
12
(03)
:483
-494
[9]
ZEROS OF ACCRETIVE OPERATORS
[J].
DEIMLING, K
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV KIEL,OLSHAUSEN STR 40-60,D-23 KIEL,WEST GERMANY
UNIV KIEL,OLSHAUSEN STR 40-60,D-23 KIEL,WEST GERMANY
DEIMLING, K
.
MANUSCRIPTA MATHEMATICA,
1974,
13
(04)
:365
-374
[10]
Convergence of approximants for demicontinuous pseudo-contractive maps in Hilbert spaces
[J].
Lan, KQ
论文数:
0
引用数:
0
h-index:
0
机构:
York Univ, Dept Math & Stat, Toronto, ON M3J IP3, Canada
York Univ, Dept Math & Stat, Toronto, ON M3J IP3, Canada
Lan, KQ
;
Wu, JH
论文数:
0
引用数:
0
h-index:
0
机构:
York Univ, Dept Math & Stat, Toronto, ON M3J IP3, Canada
York Univ, Dept Math & Stat, Toronto, ON M3J IP3, Canada
Wu, JH
.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,
2002,
49
(06)
:737
-746
←
1
2
3
→