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检索条件"主题词=proximal point algorithm"
340 条 记 录,以下是31-40 订阅
排序:
The generalized proximal point algorithm with step size 2 is not necessarily convergent
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COMPUTATIONAL OPTIMIZATION AND APPLICATIONS 2018年 第3期70卷 827-839页
作者: Tao, Min Yuan, Xiaoming Nanjing Univ Dept Math Natl Key Lab Novel Software Technol Nanjing 210093 Jiangsu Peoples R China Univ Hong Kong Hong Kong Hong Kong Peoples R China
The proximal point algorithm (PPA) is a fundamental method in optimization and it has been well studied in the literature. Recently a generalized version of the PPA with a step size in (0, 2) has been proposed. Inheri... 详细信息
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A convergence rate of the proximal point algorithm in Banach spaces
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OPTIMIZATION 2018年 第6期67卷 881-888页
作者: Matsushita, Shin-ya Akita Prefectural Univ Dept Elect & Informat Syst Yuri Honjo Japan
We consider the convergence rate of the proximal point algorithm (PPA) for finding a minimizer of proper lower semicontinuous convex functions. In the Hilbert space setting, Guler showed that the big-O rate of the PPA... 详细信息
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Δ-convergence for proximal point algorithm and fixed point problem in CAT(0) spaces
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Fixed point Theory and Applications 2019年 第1期2019卷 8-8页
作者: Husain, Shamshad Singh, Nisha Department of Applied Mathematics Aligarh Muslim University Aligarh India
In this paper, we prove the Δ-convergence of a modified proximal point algorithm for common fixed points in a CAT(0) space for different classes of generalized nonexpansive mappings including a total asymptotically n... 详细信息
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EFFECTIVE STRONG CONVERGENCE OF THE proximal point algorithm IN CAT(0) SPACES
JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS
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JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS 2018年 第2期2卷 219-228页
作者: Leustean, Laurentiu Sipos, Andrei Univ Bucharest Res Inst Univ Bucharest ICUB Bd M Kogalniceanu 36-46 Bucharest 050107 Romania Univ Bucharest Fac Math & Comp Sci Acad 14 Bucharest 010014 Romania Tech Univ Darmstadt Dept Math Schlossgartenstr 7 D-64289 Darmstadt Germany Romanian Acad Simion Stoilow Inst Math Calea Grivitei 21 Bucharest 010702 Romania
We apply methods of proof mining to obtain uniform quantitative bounds on the strong convergence of the proximal point algorithm for finding minimizers of convex, lower semicontinuous, proper functions in CAT(0) space... 详细信息
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A modified viscosity implicit-type proximal point algorithm for monotone inclusions and asymptotically nonexpansive mappings in Hadamard spaces
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JOURNAL OF INEQUALITIES AND APPLICATIONS 2018年 第1期2018卷 235-235页
作者: Chang, Shih-sen Yao, Jen-Chih Wen, Ching-Feng Wang, Lin China Med Univ Ctr Gen Educ Taichung Taiwan Kaohsiung Med Univ Ctr Fundamental Sci Kaohsiung Taiwan Kaohsiung Med Univ Res Ctr Nonlinear Anal & Optimizat Kaohsiung Taiwan Kaohsiung Med Univ Hosp Dept Med Res Kaohsiung Taiwan Yunnan Univ Finance & Econ Coll Stat & Math Kunming Yunnan Peoples R China
The purpose of this article is to propose a modified viscosity implicit-type proximal point algorithm for approximating a common solution of a monotone inclusion problem and a fixed point problem for an asymptotically... 详细信息
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Convergence analysis of a proximal point algorithm for minimizing differences of functions
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OPTIMIZATION 2017年 第1期66卷 129-147页
作者: Nguyen Thai An Nguyen Mau Nam Duy Tan Univ Inst Res & Dev Da Nang Vietnam Portland State Univ Fariborz Maseeh Dept Math & Stat Portland OR 97207 USA
Several optimization schemes have been known for convex optimization problems. However, numerical algorithms for solving nonconvex optimization problems are still underdeveloped. A significant progress to go beyond co... 详细信息
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Hybrid proximal point algorithm and Applications to Equilibrium Problems and Convex Programming
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JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 2017年 第2期174卷 518-529页
作者: Dadashi, Vahid Postolache, Mihai Islamic Azad Univ Sari Branch Dept Math Sari Iran China Med Univ Taichung Taiwan Univ Politehn Bucuresti Bucharest Romania
In this paper, a hybrid projection algorithm for a countable family of mappings is considered in Banach spaces. The sequence generated by algorithm converges strongly to the common fixed point of the mappings. We appl... 详细信息
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MONOTONE OPERATORS AND THE proximal point algorithm IN COMPLETE CAT(0) METRIC SPACES
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JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY 2017年 第1期103卷 70-90页
作者: Khatibzadeh, Hadi Ranjbar, Sajad Univ Zanjan Dept Math POB 45195-313 Zanjan Iran Higher Educ Ctr Eghlid Coll Sci Dept Math Eghlid Iran
In this paper, we generalize monotone operators, their resolvents and the proximal point algorithm to complete CAT(0) spaces. We study some properties of monotone operators and their resolvents. We show that the seque... 详细信息
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A proximal point algorithm for generalized fractional programs
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OPTIMIZATION 2017年 第9期66卷 1495-1517页
作者: Addoune, S. El Haffari, M. Roubi, A. Fac MI Dept Math Bba Algeria Univ Hassan 1 Fac Sci & Tech Settat Morocco
In this paper, the problem of solving generalized fractional programs will be addressed. This problem has been extensively studied and several algorithms have been proposed. In this work, we propose an algorithm that ... 详细信息
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New results on the proximal point algorithm in non-positive curvature metric spaces
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OPTIMIZATION 2017年 第7期66卷 1191-1199页
作者: Khatibzadeh, Hadi Mohebbi, Vahid Ranjbar, Sajad Univ Zanjan Dept Math Zanjan Iran Higher Educ Ctr Eghlid Dept Math Coll Sci Eghlid Iran
The subject of this paper is the inexact proximal point algorithm of usual and Halpern type in non-positive curvature metric spaces. We study the convergence of the sequences given by the inexact proximal point algori... 详细信息
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