WEAK AND STRONG CONVERGENCE THEOREMS OF PROXIMAL POINT ALGORITHM FOR SOLVING GENERALIZED MIXED EQUILIBRIUM PROBLEMS AND FINDING ZEROES OF MAXIMAL MONOTONE OPERATORS IN BANACH SPACES

被引：0

作者：

Phuengrattanai, Withun ^{[1
]}

Suantai, Suthep ^{[1
]}

Wattanawitoon, Kriengsak ^{[2
]}

Witthayarat, Uamporn ^{[3
]}

Kumam, Poom ^{[3
]}

机构：

[1] Chiang Mai Univ, Fac Sci, Dept Math, Chiang Mai 50200, Thailand

[2] Rajamangala Univ Technol Lanna Tak, Fac Sci & Agr Technol, Dept Math & Stat, Tak 63000, Thailand

[3] King Mongkuts Univ Technol Thonburi, Fac Sci, Dept Math, Bangkok 10140, Thailand

来源：

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | 2014年 / 16卷 / 02期

关键词：

Strong Convergence; Weak Convergence; Proximal Point Algorithm; Generalized Mixed Equilibrium Problems; Maximal Monotone Operators; NONEXPANSIVE-MAPPINGS; INEQUALITIES;

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Based on the results proposed by Li and Song [Modified proximal-point algorithm for maximal monotone operators in Banach spaces], J. Optim. Theory appl. 138 (2008) 45-64], we modify and generate our new iterative scheme for solving generalized mixed equilibrium problems and finding zeroes of maximal monotone operators in a Banach space under the appropriate conditions. We also prove strong and weak convergence theorems of this proximal point algorithm and give an example with numerical test which corresponding to our main results. Furthermore, we also consider the convex minimization problem and the problem of finding a zero point of an a-inverse strongly monotone operator as its appplications.

引用

页码：264 / 281

页数：18

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