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

被引：0
作者：
Pham Ngoc Anh
Nguyen Duc Hien
机构：
[1] Posts and Telecommunications Institute of Technology,Department of Scientific Fundamentals
[2] Duy Tan University,Department of Natural Sciences
来源：
Fixed Point Theory and Applications | / 2012卷
关键词：
equilibrium problems; pseudomonotone; extragradient method; strict pseudocontractions; fixed point; linesearch;
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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.
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