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检索条件"主题词=proximal point algorithm"
340 条 记 录,以下是251-260 订阅
排序:
proximal point METHODS FOR MONOTONE OPERATORS IN BANACH SPACES
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TAIWANESE JOURNAL OF MATHEMATICS 2011年 第1期15卷 259-281页
作者: Aoyama, Koji Kohsaka, Fumiaki Takahashi, Wataru Chiba Univ Dept Econ Chiba 2638522 Japan Oita Univ Dept Comp Sci & Intelligent Syst Oita 8701192 Japan Tokyo Inst Technol Dept Math & Comp Sci Meguro Ku Tokyo 1528552 Japan
Some fundamental properties of resolvents of monotone operators in Banach spaces are investigated. Using them, we study the asymptotic behavior of the sequences generated by two modifications of the proximal point alg... 详细信息
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A hybrid of the extragradient method and proximal point algorithm for inverse strongly monotone operators and maximal monotone operators in Banach spaces
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NONLINEAR ANALYSIS-HYBRID SYSTEMS 2007年 第3期1卷 398-413页
作者: Li, Liwei Song, W. Harbin Normal Univ Dept Math Harbin 150080 Peoples R China NE Normal Univ Dept Math Changchun 130024 Peoples R China
In the paper, we introduce two iterative sequences for finding a point in the intersection of the zero set of a inverse strongly monotone or inverse-monotone operator and the zero set of a maximal monotone operator in... 详细信息
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Approximating zeros of monotone operators by proximal point algorithms
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JOURNAL OF GLOBAL OPTIMIZATION 2010年 第1期46卷 75-87页
作者: Qin, Xiaolong Kang, Shin Min Cho, Yeol Je Gyeongsang Natl Univ Dept Math Educ Chinju 660701 South Korea Gyeongsang Natl Univ RINS Chinju 660701 South Korea Gyeongsang Natl Univ Dept Math Chinju 660701 South Korea
In this paper, we introduce two kinds of iterative algorithms for the problem of finding zeros of maximal monotone operators. Weak and strong convergence theorems are established in a real Hilbert space. As applicatio... 详细信息
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On the method of alternating resolvents
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NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 2011年 第15期74卷 5147-5160页
作者: Boikanyo, Oganeditse A. Morosanu, Gheorghe Cent European Univ Dept Math & Its Applicat H-1051 Budapest Hungary
The work of Hundal [H. Hundal, An alternating projection that does not converge in norm, Nonlinear Anal. 57 (1) (2004) 35-61] has revealed that the sequence generated by the method of alternating projections converges... 详细信息
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PRODUCTS OF FINITELY MANY RESOLVENTS OF MAXIMAL MONOTONE MAPPINGS IN REFLEXIVE BANACH SPACES
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SIAM JOURNAL ON OPTIMIZATION 2011年 第4期21卷 1289-1308页
作者: Sabach, Shoham Technion Israel Inst Technol Dept Math IL-32000 Haifa Israel
We propose two algorithms for finding (common) zeros of finitely many maximal monotone mappings in reflexive Banach spaces. These algorithms are based on the Bregman distance related to a well-chosen convex function a... 详细信息
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A Class of Linearized proximal Alternating Direction Methods
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JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 2011年 第2期151卷 321-337页
作者: Xu, M. H. Wu, T. Changzhou Univ Sch Math & Phys Changzhou 213164 Peoples R China Nanjing Univ Dept Math Nanjing 210093 Peoples R China
Due to its significant efficiency, the alternating direction method (ADM) has attracted a lot of attention in solving linearly constrained structured convex optimization. In this paper, in order to make implementation... 详细信息
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Asymptotics for Some proximal-like Method Involving Inertia and Memory Aspects
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SET-VALUED AND VARIATIONAL ANALYSIS 2011年 第1期19卷 59-74页
作者: Cabot, Alexandre Frankel, Pierre Univ Montpellier 2 Dept Math F-34095 Montpellier 5 France
Given a Hilbert space H and a closed convex function Phi : H -> R boolean OR {+infinity}, we consider the inertial proximal algorithm x(n+1) - x(n) - alpha(n)(x(n) - x(n-1)) + beta(n)partial derivative Phi(x(n+1)) ... 详细信息
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Composite iterative schemes for maximal monotone operators in reflexive Banach spaces
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FIXED point THEORY AND APPLICATIONS 2011年 第1期2011卷 1-10页
作者: Cholamjiak, Prasit Cho, Yeol Je Suantai, Suthep Gyeongsang Natl Univ Dept Math Educ Chinju 660701 South Korea Gyeongsang Natl Univ RINS Chinju 660701 South Korea Univ Phayao Sch Sci Phayao 56000 Thailand Chiang Mai Univ Fac Sci Dept Math Chiang Mai 50200 Thailand
In this article, we introduce composite iterative schemes for finding a zero point of a finite family of maximal monotone operators in a reflexive Banach space. Then, we prove strong convergence theorems by using a sh... 详细信息
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A regularization method for the proximal point algorithm
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JOURNAL OF GLOBAL OPTIMIZATION 2006年 第1期36卷 115-125页
作者: Xu, Hong-Kun Univ KawZulu Natal Sch Math Sci ZA-4000 Durban South Africa
A regularization method for the proximal point algorithm of finding a zero for a maximal monotone operator in a Hilbert space is proposed. Strong convergence of this algorithm is proved.
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Two Strong Convergence Theorems for a proximal Method in Reflexive Banach Spaces
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NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION 2010年 第1期31卷 22-44页
作者: Reich, Simeon Sabach, Shoham Technion Israel Inst Technol Dept Math IL-32000 Haifa Israel
Two strong convergence theorems for a proximal method for finding common zeroes of maximal monotone operators in reflexive Banach spaces are established. Both theorems take into account possible computational errors.
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