Exact penalization and necessary optimality conditions for multiobjective optimization problems with equilibrium constraints (Q1724601)
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scientific article; zbMATH DE number 7022774
| Language | Label | Description | Also known as |
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| English | Exact penalization and necessary optimality conditions for multiobjective optimization problems with equilibrium constraints |
scientific article; zbMATH DE number 7022774 |
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Exact penalization and necessary optimality conditions for multiobjective optimization problems with equilibrium constraints (English)
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14 February 2019
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Summary: A calmness condition for a general multiobjective optimization problem with equilibrium constraints is proposed. Some exact penalization properties for two classes of multiobjective penalty problems are established and shown to be equivalent to the calmness condition. Subsequently, a Mordukhovich stationary necessary optimality condition based on the exact penalization results is obtained. Moreover, some applications to a multiobjective optimization problem with complementarity constraints and a multiobjective optimization problem with weak vector variational inequality constraints are given.
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