分层不动点及变分不等式的粘性方法及应用

张石生; 王雄瑞; 李向荣; 陈志坚

doi:10.3879/j.issn.1000-0887.2011.02.011

分层不动点及变分不等式的粘性方法及应用

doi: 10.3879/j.issn.1000-0887.2011.02.011

基金项目: 宜宾学院自然科学基金的资助(2009Z03)

详细信息

作者简介:
张石生(1934- ),男,云南曲靖人,教授(联系人.E-mail:changss@yahoo.cn).

中图分类号: O177.91
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- 被引次数: 0
出版历程
- 收稿日期: 2010-10-02
- 修回日期: 2011-01-06
- 刊出日期: 2011-02-15

Viscosity Method for Hierarchical Fixed Point and Variational Inequalities With Applications

Department of Mathematics, Yibin University, Yibin, Sichuan 644007, P. R. China;

摘要

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．
- 分层不动点 /
- 非扩张映像 /
- 不动点 /
- 粘性逼近 /
- 分层极小化
Abstract: 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.
- hierarchical fixed point /
- nonexpansive mapping /
- fixed point /
- viscosity approximation /
- hierarchical minimization

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参考文献(18)

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