Scalar and vector equilibrium problems with pairs of bifunctions (Q2089874)
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scientific article; zbMATH DE number 7606092
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Scalar and vector equilibrium problems with pairs of bifunctions |
scientific article; zbMATH DE number 7606092 |
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Scalar and vector equilibrium problems with pairs of bifunctions (English)
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24 October 2022
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The existence of solutions of the scalar equilibrium problems is studied by introducing the concept of generalized pseudomonotone bifunctions with respect to another bifunction and by using the standard methodology of a Fan-KKM theorem. By using the scalarization technique, the existence results for solutions of vector equilibrium problems are derived. As particular cases, the existence of solutions for minima inequalities and saddle point problems are also established.
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equilibrium problems
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vector equilibrium problems
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scalarization method
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generalized pseudomonotonicity
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minimax inequality
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saddle point problems
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