A note on scalar-valued gap functions for generalized vector variational inequalities (Q2015594)
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scientific article; zbMATH DE number 6306877
| Language | Label | Description | Also known as |
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| English | A note on scalar-valued gap functions for generalized vector variational inequalities |
scientific article; zbMATH DE number 6306877 |
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A note on scalar-valued gap functions for generalized vector variational inequalities (English)
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23 June 2014
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Summary: This paper is concerned with gap functions of Generalized Vector Variational Inequalities (GVVIs). By using a scalarization approach, scalar-valued variational inequalities of GVVIs are introduced. Some relationships between the solutions of GVVIs and their scalarized versions are established. Then, by using these relationships and some mild conditions, scalar-valued gap functions for GVVIs are established.
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generalized vector variational inequalities
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scalarization
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scalar-valued gap function
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