Iterative Methods for a Generalized Equilibrium Problem and a Nonexpansive Multi-Valued Mapping

被引：2

作者：

Buangern A. ^{[1
]}

Aeimrun A. ^{[1
]}

Cholamjiak W. ^{[1
]}

机构：

[1] School of Science, University of Phayao, Phayao

来源：

Vietnam Journal of Mathematics | 2017年 / 45卷 / 3期

关键词：

Generalized equilibrium problem; Hilbert space; Iteration; Nonexpansive multi-valued mapping; Variational inequality;

D O I：

10.1007/s10013-016-0225-8

中图分类号：

学科分类号：

摘要：

In this paper, we introduce new iterative schemes for approximating common elements of the set of solutions of generalized equilibrium problems and the set of fixed points of nonexpansive multi-valued mappings. We prove some strong convergence theorems of the sequences generated by our iterative process under appropriate additional assumptions in Hilbert spaces. Moreover, we give some numerical results for supporting our main theorem. Our main results improve the corresponding ones obtained in (S. Takahashi, W. Takahashi: Nonlinear Anal. 69: 1025–1033, 2008). © 2016, Vietnam Academy of Science and Technology (VAST) and Springer Science+Business Media Singapore.

引用

页码：477 / 492

页数：15

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