Exact Penalization and Necessary Optimality Conditions for Multiobjective Optimization Problems with Equilibrium Constraints
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 s...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/630547 |
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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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| ISSN: | 1085-3375 1687-0409 |