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检索条件"主题词=proximal point algorithm"
340 条 记 录,以下是231-240 订阅
排序:
Solving Lagrangian variational inequalities with applications to stochastic programming
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MATHEMATICAL PROGRAMMING 2020年 第2期181卷 435-451页
作者: Rockafellar, R. Tyrrell Sun, Jie Univ Washington Dept Math Box 354350 Seattle WA 98195 USA Curtin Univ Dept Math & Stat Bentley WA 6102 Australia
Lagrangian variational inequalities feature both primal and dual elements in expressing first-order conditions for optimality in a wide variety of settings where "multipliers" in a very general sense need to... 详细信息
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EXISTENCE AND APPROXIMATION OF FIXED pointS OF FIRMLY NONEXPANSIVE-TYPE MAPPINGS IN BANACH SPACES
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SIAM JOURNAL ON OPTIMIZATION 2008年 第2期19卷 824-835页
作者: Kohsaka, Fumiaki Takahashi, Wataru Tokyo Denki Univ Dept Informat Environm Chiba 2701382 Japan Tokyo Inst Technol Dept Math & Comp Sci Meguro Ku Tokyo 1528552 Japan
A class of nonlinear operators in Banach spaces is proposed. We call each operator in this class a firmly nonexpansive-type mapping. This class contains the classes of firmly nonexpansive mappings in Hilbert spaces an... 详细信息
来源: 评论
On solving the minimization problem and the fixed-point problem for nonexpansive mappings in CAT(0) spaces
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OPTIMIZATION METHODS & SOFTWARE 2017年 第1期32卷 182-192页
作者: Suparatulatorn, Raweerote Cholamjiak, Prasit Suantai, Suthep Univ Phayao Sch Sci Phayao 56000 Thailand Chiang Mai Univ Fac Sci Dept Math Chiang Mai 50200 Thailand
We propose a new modified proximal point algorithm combined with Halpern's iteration process for nonexpansive mappings in the framework of CAT(0) spaces. We establish a strong convergence theorem under some mild c... 详细信息
来源: 评论
Revisiting jointly firmly nonexpansive families of mappings
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OPTIMIZATION 2022年 第13期71卷 3819-3834页
作者: Sipos, Andrei Univ Bucharest Dept Comp Sci Fac Math & Comp Sci Res Ctr Log Optimizat & Secur LOS Bucharest Romania Romanian Acad Simion Stoilow Inst Math Bucharest Romania
Recently, the author, together with L. Leustean and A. Nicolae, introduced the notion of jointly firmly nonexpansive families of mappings in order to investigate in an abstract manner the convergence of proximal metho... 详细信息
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A Homotopy Alternating Direction Method of Multipliers for Linearly Constrained Separable Convex Optimization
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Journal of the Operations Research Society of China 2017年 第2期5卷 271-290页
作者: Jiao Yang Yi-Qing Dai Zheng Peng Jie-Peng Zhuang Wen-Xing Zhu Hunan Vocational Institute of Safety Technology Changsha 410018China College of Mathematics and Computer Science Fuzhou UniversityFuzhou 350108China
Linearly constrained separable convex minimization problems have been raised widely in many real-world *** this paper,we propose a homotopy-based alternating direction method of multipliers for solving this kind of **... 详细信息
来源: 评论
A partial PPA block-wise ADMM for multi-block linearly constrained separable convex optimization
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OPTIMIZATION 2021年 第3期70卷 631-657页
作者: Shen, Yuan Zhang, Xingying Zhang, Xiayang Nanjing Univ Finance & Econ Sch Appl Math Nanjing Peoples R China Nanjing Inst Technol Dept Math & Phys Nanjing Peoples R China
The alternating direction method of multipliers (ADMM) is a classical effective method for solving two-block convex optimization subject to linear constraints. However, its convergence may not be guaranteed for multip... 详细信息
来源: 评论
THE PROX-TIKHONOV-LIKE FORWARD-BACKWARD METHOD AND APPLICATIONS
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TAIWANESE JOURNAL OF MATHEMATICS 2015年 第2期19卷 481-503页
作者: Sahu, D. R. Ansari, Q. H. Yao, J. C. Banaras Hindu Univ Dept Math Varanasi 221005 Uttar Pradesh India Natl Sun Yat Sen Univ Dept Appl Math Kaohsiung 804 Taiwan Aligarh Muslim Univ Dept Math Aligarh 202002 Uttar Pradesh India King Fahd Univ Petr & Minerals Dept Math & Stat Dhahran 31261 Saudi Arabia Kaohsiung Med Univ Ctr Fundamental Sci Kaohsiung 807 Taiwan King Abdulaziz Univ Dept Math Jeddah 21589 Saudi Arabia
It is known, by Rockafellar [SIAM J. Control Optim., 14 (1976), 877898], that the proximal point algorithm (PPA) converges weakly to a zero of a maximal monotone operator in a Hilbert space, but it fails to converge s... 详细信息
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Approximating solutions of maximal monotone operators in Hilbert spaces
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JOURNAL OF APPROXIMATION THEORY 2000年 第2期106卷 226-240页
作者: Kamimura, S Takahashi, W Tokyo Inst Technol Dept Math & Comp Sci Meguro Ku Tokyo 1528552 Japan
Let H he a real Hilbert space and let T:H --> 2(H) he a maximal monotone operator. In this paper, we first introduce two algorithms of approximating solutions of maximal monotone operators. One of them is to genera... 详细信息
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Convergence of Dissipative-Like Dynamics and algorithms Governed by Set-Valued Nonexpansive Mappings
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BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY 2021年 第2期44卷 1101-1121页
作者: Khatibzadeh, Hadi Piranfar, Mohsen Rahimi Rooin, Jamal Univ Zanjan Dept Math POB 45195-313 Zanjan Iran Inst Adv Studies Basic Sci Dept Math POB 45195-1159 Zanjan Iran
In this paper, we consider a differential inclusion governed by a set-valued nonexpansive mapping and study the asymptotic behavior (weak and strong convergence) of its solutions with various assumptions on this mappi... 详细信息
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Equilibrium problems on Riemannian manifolds with applications
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JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 2019年 第2期473卷 866-891页
作者: Wang, Xiangmei Lopez, Genaro Li, Chong Yao, Jen-Chih Guizhou Univ Coll Math & Stat Guiyang 550025 Guizhou Peoples R China Univ Seville Dept Math Anal E-41080 Seville Spain Zhejiang Univ Sch Math Sci Hangzhou 310027 Zhejiang Peoples R China China Med Univ China Med Univ Hosp Res Ctr Interneural Comp Taichung 40402 Taiwan
We study equilibrium problem on general Riemannian manifolds, focusing on existence of solutions and the convexity properties of the solution set. Our approach consists in relating the equilibrium problem to a suitabl... 详细信息
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