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;
D O I：
暂无
中图分类号：
学科分类号：
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.
引用
收藏
相关论文
共 42 条
[1]  
Anh PN(2009)A logarithmic quadratic regularization method for solving pseudomonotone equilibrium problems Acta Mathematica Vietnamica 34 183-200
[2]  
Anh PN(2008)An LQP regularization method for equilibrium problems on polyhedral Vietnam J. Math 36 209-228
[3]  
Anh PN(2012)Strong convergence of an extragradient method for equilibrium problems and fixed point problems J. Korean Math. Soc 49 187-200
[4]  
Kim JK(1994)From optimization and variational inequality to equilibrium problems Math. Student 63 127-149
[5]  
Nam JM(2004)Gap function for equilibrium problems J. Global Optim 27 411-426
[6]  
Blum E(2010)Iterative algorithms for mixed equilibrium problems, strict pseudocontractions and monotone mappings J. Optim. Theory Appl 144 107-119
[7]  
Oettli W(2007)Iterative methods for strict pseudo-contractions in Hilbert spaces Nonlinear Anal 67 2258-2271
[8]  
Mastroeni G(2007)Viscosity approximation methods for equilibrium problems and fixed point problems in Hilbert spaces J. Math. Anal. Appl 331 506-515
[9]  
Peng JW(2009)Two extragradient approximation methods for variational inequalities and fixed point problems of strict pseudo-contractions Taiwanese J. Math 13 607-632
[10]  
Acedo GL(2011)Outer approximation algorithms for pseudomonotone equilibrium problems Comput. Math. Appl 61 2588-2595
12345