摘要
介绍了处理变分不等式问题的一种分层不动点的粘性方法.这一方法所涉及的映像是非扩张的,而其解是从另一非扩张映像的不动点集中求出.在文末,还把这一结果应用于研究单调变分不等式问题、凸规划问题、分层极小化问题及在不动点集上的二次极小化问题.
A viscosity method for a hierarchical fixed point approach to variational inequality problems was presented,which was used to solve variational inequalities where the involving mappings were nonexpansive and the solutions were sought in the set of the fixed points of another nonexpansive mapping.As applications,the results were utilized to study the monotone variational inequality problem,convex programming problem,hierarchical minimization problem and quadratic minimization problem over fixed point sets.
出处
《应用数学和力学》
CSCD
北大核心
2011年第2期232-240,共9页
Applied Mathematics and Mechanics
基金
宜宾学院自然科学基金的资助(2009Z03)
关键词
分层不动点
非扩张映像
不动点
粘性逼近
分层极小化
hierarchical fixed point
nonexpansive mapping
fixed point
viscosity approximation
hierarchical minimization
