The shrinking projection method for solving generalized equilibrium problems and common fixed points for asymptotically quas-φ-nonexpansive mappings

被引：21

作者：

Saewan, Siwaporn ^{[1
]}

Kumam, Poom ^{[1
]}

机构：

[1] KMUTT, Dept Math, Fac Sci, Bangkok 10140, Thailand

来源：

FIXED POINT THEORY AND APPLICATIONS | 2011年

关键词：

Generalized mixed equilibrium problem; Asymptotically quasi-phi?boxed times?-nonexpansive mapping; Strong convergence theorem; Variational inequality; Banach spaces; STRONG-CONVERGENCE THEOREMS; HYBRID APPROXIMATION METHOD; WEAK-CONVERGENCE; ITERATIVE SCHEME; BANACH-SPACES; ALGORITHM; INEQUALITIES; FAMILIES;

D O I：

10.1186/1687-1812-2011-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we introduce a new hybrid projection iterative scheme based on the shrinking projection method for finding a common element of the set of solutions of the generalized mixed equilibrium problems and the set of common fixed points for a pair of asymptotically quasi-phi-nonexpansive mappings in Banach spaces and set of variational inequalities for an alpha-inverse strongly monotone mapping. The results obtained in this article improve and extend the recent ones announced by Matsushita and Takahashi (Fixed Point Theory Appl. 2004(1):37-47, 2004), Qin et al. (Appl. Math. Comput. 215:3874-3883, 2010), Chang et al. (Nonlinear Anal. 73: 22602270, 2010), Kamraksa and Wangkeeree (J. Nonlinear Anal. Optim.: Theory Appl. 1 (1): 55-69, 2010) and many others. AMS Subject Classification: 47H05, 47H09, 47J25, 65J15.

引用

页数：25

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