ALGORITHMS FOR EQUILIBRIUM PROBLEMS AND FIXED POINT PROBLEMS APPROACH TO MINIMIZATION PROBLEMS

被引：3

作者：

Yao, Yonghong ^{[2
]}

Liou, Y. C. ^{[3
]}

Wong, M. M. ^{[1
]}

机构：

[1] Chung Yuan Christian Univ, Dept Appl Math, Chungli 32023, Taiwan

[2] Tianjin Polytech Univ, Dept Math, Tianjin 300160, Peoples R China

[3] Cheng Shiu Univ, Dept Informat Management, Kaohsiung 833, Taiwan

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2010年 / 14卷 / 05期

关键词：

Nonexpansive mapping; Fixed point; Inverse-strongly monotone mapping; Equilibrium problem; Minimum norm; STRONG-CONVERGENCE THEOREM; STEEPEST-DESCENT METHODS; NONEXPANSIVE-MAPPINGS; EXTRAGRADIENT METHOD; VISCOSITY APPROXIMATION; ITERATIVE SCHEME;

D O I：

10.11650/twjm/1500406033

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce two algorithms for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of a nonexpansive mapping in a real Hilbert space. Furthermore, we prove that the proposed algorithms converge strongly to a solution of the minimization problem of finding x* is an element of Gamma such that parallel to x*parallel to = min(x is an element of Gamma) parallel to x parallel to where Gamma stands for the intersection set of the solution set of the equilibrium problem and the fixed points set of a nonexpansive mapping.

引用

页码：2073 / 2089

页数：17

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