The hybrid block iterative algorithm for solving the system of equilibrium problems and variational inequality problems

被引：0
|
作者：
Saewan, Siwaporn [1 ]
Kumam, Poom [1 ]
机构：
[1] KMUTT, Fac Sci, Dept Math, Bangkok 10140, Thailand
来源：
SPRINGERPLUS | 2012年 / 1卷
关键词：
Hybrid block iterative algorithm; Inverse-strongly monotone operator; Variational inequality; A system of equilibrium problem; Uniformly quasi-phi-asymptotically nonexpansive mapping; FIXED-POINT PROBLEMS; RELATIVELY NONEXPANSIVE-MAPPINGS; STRONG-CONVERGENCE THEOREMS; WEAK-CONVERGENCE; PROJECTION METHOD; COUNTABLE FAMILY; OPERATORS;
D O I：
10.1186/2193-1801-1-8
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, we construct the hybrid block iterative algorithm for finding a common element of the set of common fixed points of an infinite family of closed and uniformly quasi -phi- asymptotically nonexpansive mappings, the set of the solutions of the variational inequality for an alpha-inverse-strongly monotone operator, and the set of solutions of a system of equilibrium problems. Moreover, we obtain a strong convergence theorem for the sequence generated by this process in the framework Banach spaces. The results presented in this paper improve and generalize some well-known results in the literature.
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页数：14
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