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Iterative methods for k-strict pseudo-contractive mappings in Hilbert spaces
被引:0
作者
:
Yao, Yonghong
论文数:
0
引用数:
0
h-index:
0
机构:
Tianjin Polytech Univ, Dept Math, Tianjin 300160, Peoples R China
Tianjin Polytech Univ, Dept Math, Tianjin 300160, Peoples R China
Yao, Yonghong
[
1
]
Liou, Yeong-Cheng
论文数:
0
引用数:
0
h-index:
0
机构:
Cheng Shiu Univ, Dept Informat Management, Kaohsiung 833, Taiwan
Tianjin Polytech Univ, Dept Math, Tianjin 300160, Peoples R China
Liou, Yeong-Cheng
[
2
]
Kang, Shin Min
论文数:
0
引用数:
0
h-index:
0
机构:
Gyeongsang Natl Univ, Dept Math, Jinju 660701, South Korea
Gyeongsang Natl Univ, RINS, Jinju 660701, South Korea
Tianjin Polytech Univ, Dept Math, Tianjin 300160, Peoples R China
Kang, Shin Min
[
3
,
4
]
机构
:
[1]
Tianjin Polytech Univ, Dept Math, Tianjin 300160, Peoples R China
[2]
Cheng Shiu Univ, Dept Informat Management, Kaohsiung 833, Taiwan
[3]
Gyeongsang Natl Univ, Dept Math, Jinju 660701, South Korea
[4]
Gyeongsang Natl Univ, RINS, Jinju 660701, South Korea
来源
:
ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA
|
2011年
/ 19卷
/ 01期
关键词
:
Fixed point;
strict pseudo-contractive mapping;
iterative method;
strong convergence;
Hilbert space;
COMMON FIXED-POINTS;
STRONG-CONVERGENCE THEOREMS;
NONEXPANSIVE-MAPPINGS;
FINITE FAMILY;
NONLINEAR MAPPINGS;
APPROXIMATION;
SEQUENCES;
WEAK;
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 investigate two iterative methods for k-strict pseudo-contractive mappings in a real Hilbert space. We prove that the proposed iterative algorithms converge strongly to some fixed point of a strict pseudo-contractive mapping.
引用
收藏
页码:313 / 330
页数:18
相关论文
共 36 条
[1]
Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space
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Kimura, Yasunori
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Chiba Univ, Dept Econ, Inage Ku, Chiba 2638522, Japan
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Takahashi, Wataru
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0
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Chiba Univ, Dept Econ, Inage Ku, Chiba 2638522, Japan
Toyoda, Masashi
.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,
2007,
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[2]
The approximation of fixed points of compositions of nonexpansive mappings in Hilbert space
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Ctr. for Exp. and Constr. Math., Simon Fraser University, Burnaby
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JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,
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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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PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA,
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JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,
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A unified treatment of some iterative algorithms in signal processing and image reconstruction
[J].
Byrne, C
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0
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0
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0
机构:
Univ Massachusetts, Dept Math Sci, Lowell, MA 01854 USA
Univ Massachusetts, Dept Math Sci, Lowell, MA 01854 USA
Byrne, C
.
INVERSE PROBLEMS,
2004,
20
(01)
:103
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[7]
Viscosity approximation methods for a finite family of nonexpansive mappings in Banach spaces
[J].
Chang, Shih-Sen
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0
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0
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0
机构:
Yibin Univ, Dept Math, Yibin 644007, Sichuan, Peoples R China
Yibin Univ, Dept Math, Yibin 644007, Sichuan, Peoples R China
Chang, Shih-Sen
.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,
2006,
323
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:1402
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[8]
Iterative approximation of fixed points of nonexpansive mappings
[J].
Chidume, CE
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0
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Abdus Salam Int Ctr Theoret Phys, Trieste, Italy
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0
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Abdus Salam Int Ctr Theoret Phys, Trieste, Italy
Chidume, CO
.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,
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318
(01)
:288
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[9]
FIXED POINTS OF NONEXPANDING MAPS
[J].
HALPERN, B
论文数:
0
引用数:
0
h-index:
0
HALPERN, B
.
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY,
1967,
73
(06)
:957
-&
[10]
Iterative approaches to common fixed points of nonexpansive mappings in Banach spaces
[J].
Jung, JS
论文数:
0
引用数:
0
h-index:
0
机构:
Dong A Univ, Dept Math, Pusan 604714, South Korea
Dong A Univ, Dept Math, Pusan 604714, South Korea
Jung, JS
.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,
2005,
302
(02)
:509
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←
1
2
3
4
→
共 36 条
[1]
Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space
[J].
论文数:
引用数:
h-index:
机构:
Aoyama, Koji
;
Kimura, Yasunori
论文数:
0
引用数:
0
h-index:
0
机构:
Chiba Univ, Dept Econ, Inage Ku, Chiba 2638522, Japan
Kimura, Yasunori
;
论文数:
引用数:
h-index:
机构:
Takahashi, Wataru
;
Toyoda, Masashi
论文数:
0
引用数:
0
h-index:
0
机构:
Chiba Univ, Dept Econ, Inage Ku, Chiba 2638522, Japan
Toyoda, Masashi
.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,
2007,
67
(08)
:2350
-2360
[2]
The approximation of fixed points of compositions of nonexpansive mappings in Hilbert space
[J].
Bauschke, HH
论文数:
0
引用数:
0
h-index:
0
机构:
Ctr. for Exp. and Constr. Math., Simon Fraser University, Burnaby
Bauschke, HH
.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,
1996,
202
(01)
:150
-159
[3]
BROWDER FE, 1967, ARCH RATION MECH AN, V24, P82
[4]
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
-&
[5]
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
-&
[6]
A unified treatment of some iterative algorithms in signal processing and image reconstruction
[J].
Byrne, C
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Massachusetts, Dept Math Sci, Lowell, MA 01854 USA
Univ Massachusetts, Dept Math Sci, Lowell, MA 01854 USA
Byrne, C
.
INVERSE PROBLEMS,
2004,
20
(01)
:103
-120
[7]
Viscosity approximation methods for a finite family of nonexpansive mappings in Banach spaces
[J].
Chang, Shih-Sen
论文数:
0
引用数:
0
h-index:
0
机构:
Yibin Univ, Dept Math, Yibin 644007, Sichuan, Peoples R China
Yibin Univ, Dept Math, Yibin 644007, Sichuan, Peoples R China
Chang, Shih-Sen
.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,
2006,
323
(02)
:1402
-1416
[8]
Iterative approximation of fixed points of nonexpansive mappings
[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
;
Chidume, CO
论文数:
0
引用数:
0
h-index:
0
机构:
Abdus Salam Int Ctr Theoret Phys, Trieste, Italy
Chidume, CO
.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,
2006,
318
(01)
:288
-295
[9]
FIXED POINTS OF NONEXPANDING MAPS
[J].
HALPERN, B
论文数:
0
引用数:
0
h-index:
0
HALPERN, B
.
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY,
1967,
73
(06)
:957
-&
[10]
Iterative approaches to common fixed points of nonexpansive mappings in Banach spaces
[J].
Jung, JS
论文数:
0
引用数:
0
h-index:
0
机构:
Dong A Univ, Dept Math, Pusan 604714, South Korea
Dong A Univ, Dept Math, Pusan 604714, South Korea
Jung, JS
.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,
2005,
302
(02)
:509
-520
←
1
2
3
4
→