ITERATIVE ALGORITHMS FOR EQUILIBRIUM PROBLEMS BASED ON PROXIMAL-LIKE METHODS

被引：0
|
作者：
Bao, J. F. [1 ]
Fang, D. H. [2 ]
Li, C. [1 ]
机构：
[1] Zhejiang Univ, Dept Math, Hangzhou 310027, Zhejiang, Peoples R China
[2] Jishou Univ, Coll Math & Stat, Jishou 416000, Peoples R China
来源：
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2014年 / 15卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Equilibrium problems; projection method; error bound; linear convergence; ERROR-BOUNDS; SYSTEMS; CONVERGENCE; INEQUALITY; EXISTENCE;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we present two algorithms, namely Algorithm 1.2 and Algorithm 1.3, with most violated constraint control strategy used in the projection method for solving equilibrium problems. Compared with the projection methods, both algorithms are designed to avoid computing the projection to the nonlinear level set. Under certain conditions, the convergences of the Algorithm 1.2 and Algorithm 1.3 are established, and the linear convergence rate of Algorithm 1.3 is obtained. At last, some examples to illustrate the convergence performance of Algorithm 1.2 and Algorithm 1.3 are given.
引用
收藏
页码：89 / 104
页数：16
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