On the existence of solutions of symmetric vector equilibrium problems via nonlinear scalarization (Q1734181)
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scientific article; zbMATH DE number 7040762
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the existence of solutions of symmetric vector equilibrium problems via nonlinear scalarization |
scientific article; zbMATH DE number 7040762 |
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On the existence of solutions of symmetric vector equilibrium problems via nonlinear scalarization (English)
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22 March 2019
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Existence theorems are proved for symmetric vector equilibrium problems using nonlinear scalarization methods. Sufficient conditions are found for the convexity of the solution set. Several examples are presented.
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symmetric vector equilibrium problem
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nonlinear scalarization function
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generalized \(C\)-quasiconvexity
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upper and lower semicontinuity
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