Convergence theorems for finding zero points of maximal monotone operators and equilibrium problems in Banach spaces

被引：0
|
作者：
Siwaporn Saewan
Poom Kumam
Yeol Je Cho
机构：
[1] Thaksin University (TSU),Department of Mathematics and Statistics, Faculty of Science
[2] King Mongkut’s University of Technology Thonburi (KMUTT),Department of Mathematics, Faculty of Science
[3] Gyeongsang National University,Department of Mathematics Education and RINS
来源：
Journal of Inequalities and Applications | / 2013卷 / 1期
关键词：
maximal monotone operators; hybrid projection method; system of generalized equilibrium problems;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we construct a new hybrid projection method for approximating a common element of the set of zeroes of a finite family of maximal monotone operators and the set of common solutions to a system of generalized equilibrium problems in a uniformly smooth and strictly convex Banach space. We prove strong convergence theorems of the algorithm to a common element of these two sets. As application, we also apply our results to find common solutions of variational inequalities and zeroes of maximal monotone operators.
引用
收藏
相关论文
共 50 条
12345