A New Iterative Algorithm for the Set of Fixed-Point Problems of Nonexpansive Mappings and the Set of Equilibrium Problem and Variational Inequality Problem

被引:8
|
作者
Kangtunyakarn, Atid [1 ]
机构
[1] King Mongkuts Inst Technol Ladkrabang, Dept Math, Fac Sci, Bangkok 10520, Thailand
关键词
FINDING COMMON SOLUTIONS;
D O I
10.1155/2011/562689
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We introduce a new iterative scheme and a new mapping generated by infinite family of nonexpansive mappings and infinite real number. By using both of these ideas, we obtain strong convergence theorem for finding a common element of the set of solution of equilibrium problem and the set of variational inequality and the set of fixed-point problems of infinite family of nonexpansive mappings. Moreover, we apply our main result to obtain strong convergence theorems for finding a common element of the set of solution of equilibrium problem and the set of variational inequality and the set of common fixed point of pseudocontractive mappings.
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页数:24
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