Generalized Differential Properties of the Auslender Gap Function for Variational Inequalities |
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| Authors: | S J Li S H Hou G Y Chen |
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| Institution: | (1) Department of Information and Computer Sciences, College of Sciences, Chongqing University, Chongqing, China;(2) Department of Applied Mathematics, Hong Kong Polytechnic University, Kowloon, Hong Kong;(3) Institute of Systems Science, Chinese Academy of Science, Beijing, China |
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| Abstract: | 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.This research was partially supported by the National Natural Science Foundation of China and the Research Committee of Hong Kong Polytechnic University.
Communicated by F. Giannessi |
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| Keywords: | Variational inequalities gap functions lower contingent derivatives |
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