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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
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Strongly relatively nonexpansive sequences generated by firmly nonexpansive-like mappings
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FIXED point THEORY AND APPLICATIONS 2014年 第1期2014卷 95-95页
作者: Aoyama, Koji Kohsaka, Fumiaki Chiba Univ Dept Econ Inage Ku Chiba 2638522 Japan Oita Univ Dept Comp Sci & Intelligent Syst Oita 8701192 Japan
We show that a strongly relatively nonexpansive sequence of mappings can be constructed from a given sequence of firmly nonexpansive-like mappings in a Banach space. Using this result, we study the problem of approxim... 详细信息
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Strong convergence of a parallel iterative algorithm in a reflexive Banach space
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FIXED point THEORY AND APPLICATIONS 2014年 第1期2014卷 125-125页
作者: Qing, Yuan Lv, Songtao Hangzhou Normal Univ Dept Math Hangzhou Zhejiang Peoples R China Shangqiu Normal Univ Sch Math & Informat Sci Shangqiu Henan Peoples R China
In this paper, a parallel iterative algorithm is investigated for common zeros of a family of m-accretive operators. Strong convergence theorems are established in a reflexive Banach space.
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A regularization method for treating zero points of the sum of two monotone operators
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FIXED point THEORY AND APPLICATIONS 2014年 第1期2014卷 75-75页
作者: Qin, Xiaolong Cho, Sun Young Wang, Lin Hangzhou Normal Univ Dept Math Hangzhou 310036 Zhejiang Peoples R China Gyeongsang Natl Univ Dept Math Jinju 6660701 South Korea Yunnan Univ Finance & Econ Coll Stat & Math Kunming 650221 Peoples R China
In this paper, a regularization method for treating zero points of the sum of two monotone operators is investigated. Strong convergence theorems are established in the framework of Hilbert spaces.
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Modified proximal point algorithms for finding a zero point of maximal monotone operators, generalized mixed equilibrium problems and variational inequalities
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JOURNAL OF INEQUALITIES AND APPLICATIONS 2012年 第1期2012卷 1-21页
作者: Wattanawitoon, Kriengsak Kumam, Poom KMUTT Dept Math Fac Sci Bangkok 10140 Thailand Rajamangala Univ Technol Lanna Tak Dept Math & Stat Fac Sci & Agr Technol Tak 63000 Thailand
In this article, we prove strong and weak convergence theorems of modified proximal point algorithms for finding a common element of the zero point of maximal monotone operators, the set of solutions of generalized mi... 详细信息
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A unified hybrid iterative method for hierarchical minimization problems
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JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 2013年 253卷 208-221页
作者: Sahu, D. R. Ansari, Q. H. Yao, J. C. Banaras Hindu Univ Dept Math Varanasi 221005 Uttar Pradesh India 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 Gen Educ Kaohsiung 80708 Taiwan King Abdulaziz Univ Dept Math Jeddah 21589 Saudi Arabia
In this paper, we introduce and analyze a new unified hybrid iterative method to compute the approximate solution of the general optimization problem defined over the set D = Fix(T) boolean AND Omega vertical bar GMEP... 详细信息
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Variable metric quasi-Fejer monotonicity
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NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 2013年 第1期78卷 17-31页
作者: Combettes, Patrick L. Vu, Bang C. Univ Paris 06 CNRS Lab Jacques Louis Lions UMR 7598 F-75005 Paris France
The notion of quasi-Fejer monotonicity has proven to be an efficient tool to simplify and unify the convergence analysis of various algorithms arising in applied nonlinear analysis. In this paper, we extend this notio... 详细信息
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Regularization Methods for Nonlinear Ill-Posed Equations Involving m-Accretive Mappings in Banach Spaces
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RUSSIAN MATHEMATICS 2013年 第2期57卷 58-64页
作者: Nguyen Buong Nguyen Thi Hong Phuong Vietnamese Acad Sci & Technol Inst Informat Technol 18 Hoang Quoc Viet Hanoi Vietnam
In this paper we prove strong convergence of the Browder-Tikhonov regularization method and the regularization inertial proximal point algorithm to a solution of nonlinear ill-posed equations involving m-accretive map... 详细信息
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A Lyusternik-Graves theorem for the proximal point method
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COMPUTATIONAL OPTIMIZATION AND APPLICATIONS 2012年 第3期52卷 785-803页
作者: Aragon Artacho, Francisco J. Gaydu, Michael Univ Alicante Dept Stat & Operat Res E-03080 Alicante Spain Univ Antilles Guyane LAMIA Dpt Math F-97159 Pointe A Pitre Guadeloupe France
We consider a generalized version of the proximal point algorithm for solving the perturbed inclusion yaT(x), where y is a perturbation element near 0 and T is a set-valued mapping acting from a Banach space X to a Ba... 详细信息
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A proximal point Based Approach to Optimal Control of Affine Switched Systems
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DISCRETE EVENT DYNAMIC SYSTEMS-THEORY AND APPLICATIONS 2012年 第1期22卷 61-81页
作者: Azhmyakov, Vadim Basin, Michael V. Raisch, Joerg CINVESTAV Dept Automat Control Mexico City 07360 DF Mexico Univ Nuevo Leon Dept Phys & Math Sci San Nicolas De Los Garza Mexico Tech Univ Berlin Fachgebiet Regelungssyst D-10587 Berlin Germany
This paper focuses on the proximal point regularization technique for a class of optimal control processes governed by affine switched systems. We consider switched control systems described by nonlinear ordinary diff... 详细信息
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On a generalized proximal point method for solving equilibrium problems in Banach spaces
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NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 2012年 第18期75卷 6456-6464页
作者: Burachik, Regina Kassay, Gabor Univ S Australia Sch Math & Stat Adelaide SA 5095 Australia Univ Babes Bolyai Fac Math & Comp Sci Cluj Napoca 400084 Romania
We introduce a regularized equilibrium problem in Banach spaces, involving generalized Received 14 April 2012 Bregman functions. For this regularized problem, we establish the existence and Accepted 20 July 2012 uniqu... 详细信息
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