Generalized Differential Properties of the Auslender Gap Function for Variational Inequalities

被引：0

作者：

S. J. Li

S. H. Hou

G. Y. Chen

机构：

[1] Chongqing University,Department of Information and Computer Sciences, College of Sciences

[2] Hong Kong Polytechnic University,Department of Applied Mathematics

[3] Chinese Academy of Science,Institute of Systems Science

来源：

Journal of Optimization Theory and Applications | 2005年 / 124卷

关键词：

Variational inequalities; gap functions; lower contingent derivatives;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this note, the Auslender gap function, which is used to formulate a variational inequality into an equivalent minimization problem, is shown to be differentiable in the generalized sense and has a lower contingent derivative under suitable conditions. This enables us to establish necessary and sufficient conditions for the existence of a solution to problems of variational inequalities.

引用

页码：739 / 749

页数：10

共 9 条

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[2]

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[3]

Dafermos S.(1992)Equivalent Differentiable Optimization Problems and Descent Methods for Asymmetric Variational Inequality Problems Mathematical Programming 53 99-110

[4]

Fukushima M.(1997)On the Gap Function and Duality of Variational Inequality Problems Journal of Mathematical Analysis and Applications 214 658-673

[5]

Chen G. Y.(1994)A Class of Gap Functions for Variational Inequalities Mathematical Programming 64 53-79

[6]

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