Existence and duality of generalized \(\epsilon\)-vector equilibrium problems (Q443018)
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scientific article; zbMATH DE number 6063446
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence and duality of generalized \(\epsilon\)-vector equilibrium problems |
scientific article; zbMATH DE number 6063446 |
Statements
Existence and duality of generalized \(\epsilon\)-vector equilibrium problems (English)
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6 August 2012
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Summary: We consider a generalized \(\epsilon\)-vector equilibrium problem which contain vector equilibrium problems and vector variational inequalities as special cases. By using the KKM theorem, we obtain some existence theorems for the generalized \(\epsilon\)-vector equilibrium problem. We also investigate the duality of this generalized \(\epsilon\)-vector equilibrium problem and discuss the equivalence relation between solutions of primal and dual problems.
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vector equilibrium problems
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vector variational inequalities
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KKM theorem
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duality of generalized \(\epsilon\)-vector equilibrium problem
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