Iterative algorithms for finding a common solution of system of the set of variational inclusion problems and the set of fixed point problems

被引：10
|
作者：
Kangtunyakarn, Atid [1 ]
机构：
[1] King Mongkuts Inst Technol Ladkrabang, Dept Math, Fac Sci, Bangkok 10520, Thailand
来源：
FIXED POINT THEORY AND APPLICATIONS | 2011年
关键词：
nonexpansive mapping; strict pseudo contraction; strongly positive operator; variational inclusion problem; fixed point; NONEXPANSIVE-MAPPINGS; STRONG-CONVERGENCE; HILBERT-SPACES; BANACH-SPACES; INEQUALITIES;
D O I：
10.1186/1687-1812-2011-38
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 mapping generated by infinite family of nonexpansive mapping and infinite real numbers. By means of the new mapping, we prove a strong convergence theorem for finding a common element of the set of fixed point problems of infinite family of nonexpansive mappings and the set of a finite family of variational inclusion problems in Hilbert space. In the last section, we apply our main result to prove a strong convergence theorem for finding a common element of the set of fixed point problems of infinite family of strictly pseudo-contractive mappings and the set of finite family of variational inclusion problems.
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页数：16
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