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检索条件"主题词=proximal point algorithm"
340 条 记 录,以下是291-300 订阅
排序:
Weak and strong convergence theorems for maximal monotone operators in a Banach space
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SET-VALUED ANALYSIS 2004年 第4期12卷 417-429页
作者: Kamimura, S Kohsaka, F Takahashi, W Hitotsubashi Univ Grad Sch Int Corp Strategy Chiyoda Ku Tokyo 1018439 Japan Tokyo Inst Technol Dept Math & Comp Sci Meguro Ku Tokyo 1528552 Japan
In this paper, we introduce an iterative sequence for finding a solution of a maximal monotone operator in a uniformly convex Banach space. Then we first prove a strong convergence theorem, using the notion of general... 详细信息
来源: 评论
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
来源: 评论
Two proximal splitting methods in Hadamard spaces
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APPLICABLE ANALYSIS 2023年 第2期102卷 635-650页
作者: Khatibzadeh, Hadi Moosavi, Maryam Univ Zanjan Dept Math Zanjan Iran
Motivated by computing medians and means, two proximal splitting methods, backward-backward scheme introduced by Passty [Ergodic convergence to a zero of the sum of monotone operators in Hilbert spaces. J Math Anal Ap... 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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Solving monotone inclusions via compositions of nonexpansive averaged operators
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OPTIMIZATION 2004年 第5-6期53卷 475-504页
作者: Combettes, PL Univ Paris 06 Lab Jacques Louis Lions F-75005 Paris France
A unified fixed point theoretic framework is proposed to investigate the asymptotic behavior of algorithms for finding solutions to monotone inclusion problems. The basic iterative scheme under consideration involves ... 详细信息
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An inertial proximal algorithm with dry friction: Finite convergence results
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SET-VALUED ANALYSIS 2006年 第1期14卷 1-23页
作者: Baji, B Cabot, A Univ Limoges Lab LACO F-87060 Limoges France
Let H be a Hilbert space and A, B: H paired right arrows H two maximal monotone operators. In this paper, we investigate the properties of the following proximal type algorithm: (x(n+2)-2x(n+1)+x(n))/lambda(2)(n)+A((x... 详细信息
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Weak sharpness and finite termination for variational inequalities on Hadamard manifolds
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OPTIMIZATION 2021年 第7期70卷 1443-1458页
作者: Nguyen, Luong Van Hong Duc Univ Fac Nat Sci Thanh Hoa Vietnam
We first introduce the notion of weak sharpness for the solution sets of variational inequality problems (in short, VIP) on Hadamard spaces. We then study the finite convergence property of sequences generated by the ... 详细信息
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SCENARIOS AND POLICY AGGREGATION IN OPTIMIZATION UNDER UNCERTAINTY
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MATHEMATICS OF OPERATIONS RESEARCH 1991年 第1期16卷 119-147页
作者: ROCKAFELLAR, RT WETS, RJB UNIV CALIF DAVIS DEPT MATHDAVISCA 95616
A common approach in coping with multiperiod optimization problems under uncertainty where statistical information is not really enough to support a stochastic programming model, has been to set up and analyze a numbe... 详细信息
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Mathematical programming for the sum of two convex functions with applications to lasso problem, split feasibility problems, and image deblurring problem
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FIXED point THEORY AND APPLICATIONS 2015年 第1期2015卷 1-23页
作者: Chuang, Chih Sheng Yu, Zenn-Tsun Lin, Lai-Jiu Natl Sun Yat Sen Univ Dept Appl Math Kaohsiung 700 Taiwan Nan Kai Univ Technol Dept Elect Engn Nantou 542 Taiwan Natl Changhua Univ Educ Dept Math Changhua 50058 Taiwan
In this paper, two iteration processes are used to find the solutions of the mathematical programming for the sum of two convex functions. In infinite Hilbert space, we establish two strong convergence theorems as reg... 详细信息
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Interior proximal extragradient method for equilibrium problems
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OPTIMIZATION 2015年 第10期64卷 2145-2161页
作者: Langenberg, Nils Univ Trier Fachbereich 4 Abt Math Trier Germany
The Bregman function-based proximal point algorithm (BPPA) is an efficient tool for solving equilibrium problems and fixed-point problems. Extending rather classical proximal regularization methods, the main additiona... 详细信息
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