Some Iterative Methods for Solving Equilibrium Problems and Optimization Problems

被引：0

作者：

He, Huimin ^{[1
]}

Liu, Sanyang ^{[1
]}

Fan, Qinwei ^{[2
]}

机构：

[1] Xidian Univ, Dept Math, Xian 710071, Peoples R China

[2] Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2010年

基金：

美国国家科学基金会;

关键词：

VISCOSITY APPROXIMATION METHODS; FIXED-POINT PROBLEMS; NONEXPANSIVE-MAPPINGS; CONVERGENCE THEOREMS; WEAK-CONVERGENCE; SCHEMES;

D O I：

10.1155/2010/943275

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce a new iterative scheme for finding a common element of the set of solutions of the equilibrium problems, the set of solutions of variational inequality for a relaxed cocoercive mapping, and the set of fixed points of a nonexpansive mapping. The results presented in this paper extend and improve some recent results of Ceng and Yao (2008), Yao (2007), S. Takahashi and W. Takahashi (2007), Marino and Xu (2006), Iiduka and Takahashi (2005), Su et al. (2008), and many others.

引用

页数：25

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