A Hybrid Gradient-Projection Algorithm for Averaged Mappings in Hilbert Spaces

被引：1
|
作者：
Tian, Ming [1 ]
Li, Min-Min [1 ]
机构：
[1] Civil Aviat Univ China, Coll Sci, Tianjin 300300, Peoples R China
来源：
JOURNAL OF APPLIED MATHEMATICS | 2012年
关键词：
NONEXPANSIVE-MAPPINGS; ITERATIVE ALGORITHMS; OPERATORS;
D O I：
10.1155/2012/782960
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
It is well known that the gradient-projection algorithm (GPA) is very useful in solving constrained convex minimization problems. In this paper, we combine a general iterative method with the gradient-projection algorithm to propose a hybrid gradient-projection algorithm and prove that the sequence generated by the hybrid gradient-projection algorithm converges in norm to a minimizer of constrained convex minimization problems which solves a variational inequality.
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页数：14
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