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, issue 1

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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https://doi.org/10.1155/2013/492103

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:492103

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