A Note on Scalar-Valued Gap Functions for Generalized Vector Variational Inequalities

Xiang-Kai Sun, Hong-Yong Fu and Yi Chai

Abstract and Applied Analysis, 2013, vol. 2013, 1-4

Abstract:

This paper is concerned with gap functions of generalized vector variational inequalities (GVVI). By using scalarization approach, scalar-valued variational inequalities of (GVVI) are introduced. Some relationships between the solutions of (GVVI) and its scalarized versions are established. Then, by using these relationships and some mild conditions, scalar-valued gap functions for (GVVI) are established.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:492103

DOI: 10.1155/2013/492103

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