Projection methods of iterative solutions in Hilbert spaces

被引：5
作者：
Gu, Feng [1 ]
Lu, Jing [1 ]
机构：
[1] Hangzhou Normal Univ, Dept Math, Hangzhou 310036, Zhejiang, Peoples R China
来源：
FIXED POINT THEORY AND APPLICATIONS | 2012年
基金：
中国国家自然科学基金;
关键词：
fixed point; monotone operator; nonexpansive mapping; variational inequality; zero point; NONEXPANSIVE-MAPPINGS; CONVERGENCE THEOREMS; EQUILIBRIUM PROBLEMS; FIXED-POINTS; WEAK; APPROXIMATION; INCLUSIONS;
D O I：
10.1186/1687-1812-2012-162
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, zero points of the sum of two monotone mappings, solutions of a monotone variational inequality, and fixed points of a nonexpansive mapping are investigated based on a hybrid projection iterative algorithm. Strong convergence of the purposed iterative algorithm is obtained in the framework of real Hilbert spaces without any compact assumptions. MSC: 47H05, 47H09, 47J25, 90C33.
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页数：15
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