WEAK AND STRONG CONVERGENCE THEOREMS FOR A SYSTEM OF MIXED EQUILIBRIUM PROBLEMS AND A NONEXPANSIVE MAPPING IN HILBERT SPACES

被引：0

作者：

Plubtieng, Somyot ^{[1
]}

Sombut, Kamonrat ^{[1
]}

机构：

[1] Naresuan Univ, Fac Sci, Dept Math, Phitsanulok 65000, Thailand

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2013年 / 50卷 / 02期

关键词：

nonexpansive mapping; system of mixed equilibrium problems; fixed point; weak convergence; strong convergence; FIXED-POINT PROBLEMS; VISCOSITY APPROXIMATION METHODS; GENERALIZED EQUILIBRIUM; EXTRAGRADIENT METHOD;

D O I：

10.4134/BKMS.2013.50.2.375

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce an iterative sequence for finding solution of a system of mixed equilibrium problems and the set of fixed points of a nonexpansive mapping in Hilbert spaces. Then, the weak and strong convergence theorems are proved under some parameters controlling conditions. Moreover, we apply our result to fixed point problems, system of equilibrium problems, general system of variational inequalities, mixed equilibrium problem, equilibrium problem and variational inequality.

引用

页码：375 / 388

页数：14

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