A hybrid extragradient method extended to fixed point problems and equilibrium problems

被引：100
|
作者：
Pham Ngoc Anh [1 ]
机构：
[1] Posts & Telecommun Inst Technol, Dept Sci Fundamentals, Hanoi, Vietnam
来源：
OPTIMIZATION | 2013年 / 62卷 / 02期
关键词：
equilibrium problems; pseudomonotone; Lipschitz-type continuous; strongly convergence; extragradient method; nonexpansive mapping; NONEXPANSIVE-MAPPINGS; CONVERGENCE THEOREM; APPROXIMATION;
D O I：
10.1080/02331934.2011.607497
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
In this article, we present a new hybrid extragradient iteration method for finding a common element of the set of fixed points of a nonexpansive mapping and the set of solutions of equilibrium problems for a pseudomonotone and Lipschitz-type continuous bifunction. We obtain strongly convergent theorems for the sequences generated by these processes in a real Hilbert space.
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页码：271 / 283
页数：13
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