The Hybrid Steepest Descent Method for Addressing Fixed Point Problems and System of Equilibrium Problems

被引：0
|
作者：
Jaiboon, Chaichana. [1 ]
机构：
[1] Rajamangala Univ Technol Rattanakosin RMUTR, Fac Liberal Arts, Dept Math, Bangkok 10100, Thailand
来源：
THAI JOURNAL OF MATHEMATICS | 2010年 / 8卷 / 02期
关键词：
Nonexpansive mapping; Variational inequality; Fixed points; System of equilibrium problems; hybrid steepest descent method;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we suggest and analyze an iterative scheme based on the hybrid steepest descent method for finding a common element of the set of solutions of a system of equilibrium problems, the set of fixed points of a nonexpansive mapping and the set of solutions of the variational inequality problems for inverse strongly monotone mappings in Hilbert spaces. We obtain a strong convergence theorem for the sequence generate by these processes in Hilbert spaces. The results in this paper improve and extend the corresponding results given by many others.
引用
收藏
页码：275 / 292
页数：18
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