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.

引用

页数：14

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