VISCOSITY METHOD FOR HIERARCHICAL FIXED POINT APPROACH TO VARIATIONAL INEQUALITIES

被引：58
|
作者：
Xu, Hong-Kun [1 ]
机构：
[1] Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 80424, Taiwan
来源：
TAIWANESE JOURNAL OF MATHEMATICS | 2010年 / 14卷 / 02期
关键词：
Viscosity method; Variational inequality; Nonexpansive mapping; Iterative method; Hierarchical fixed point; Projection; NONEXPANSIVE-MAPPINGS; BANACH-SPACES; APPROXIMATION METHODS; CONVERGENCE THEOREMS; ITERATIVE METHOD; OPERATORS;
D O I：
10.11650/twjm/1500405802
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A viscosity method for a hierarchical fixed point approach to variational inequality problems is presented. This method is used to solve variational inequalities where the involving operators are complements of nonexpansive mappigs and the solutions are sought in the set of the fixed points of another nonexpansive mapping. Such variational inequalities include monotone inclusions and convex optimization problems to be solved over the fixed point sets of nonexpansive mappings.
引用
收藏
页码：463 / 478
页数：16
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