The extragradient-Armijo method for pseudomonotone equilibrium problems and strict pseudocontractions

被引：1
|
作者：
Pham Ngoc Anh [1 ]
Nguyen Duc Hien [2 ]
机构：
[1] Posts & Telecommun Inst Technol, Dept Sci Fundamentals, Hanoi, Vietnam
[2] Duy Tan Univ, Dept Nat Sci, Danang, Vietnam
来源：
FIXED POINT THEORY AND APPLICATIONS | 2012年
关键词：
equilibrium problems; pseudomonotone; extragradient method; strict pseudocontractions; fixed point; linesearch; FIXED-POINT PROBLEMS; NONEXPANSIVE-MAPPINGS; APPROXIMATION METHODS; ITERATIVE SCHEME;
D O I：
10.1186/1687-1812-2012-82
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we present a new iteration method for finding a common element of the set of fixed points of p strict pseudocontractions and the set of solutions of equilibrium problems for pseudomonotone bifunctions without Lipschitz-type continuous conditions. The iterative process is based on the extragradient method and Armijo-type linesearch techniques. We obtain weak convergence theorems for the sequences generated by this process in a real Hilbert space. AMS 2010 Mathematics Subject Classification: 65 K10; 65 K15; 90 C25; 90 C33.
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页数：16
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