Iterative methods for finding the minimum-norm solution of the standard monotone variational inequality problems with applications in Hilbert spaces

被引：5
作者：
Zhou, Yu [1 ]
Zhou, Haiyun [1 ,2 ]
Wang, Peiyuan [1 ]
机构：
[1] Shijiazhuang Mech Engn Coll, Dept Math, Shijiazhuang 050003, Peoples R China
[2] Hebei Normal Univ, Dept Math & Informat, Shijiazhuang 050016, Peoples R China
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2015年
基金：
中国国家自然科学基金;
关键词：
standard monotone variational inequality problem; minimum-norm solution; iterative method; strong convergence; Hilbert space; FIXED-POINTS; PSEUDOCONTRACTIONS;
D O I：
10.1186/s13660-015-0659-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce two kinds of iterative methods for finding the minimum-norm solution to the standard monotone variational inequality problems in a real Hilbert space. We then prove that the proposed iterative methods converge strongly to the minimum-norm solution of the variational inequality. Finally, we apply our results to the constrained minimization problem and the split feasibility problem as well as the minimum-norm fixed point problem for pseudocontractive mappings.
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页数：15
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