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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| Format: | Article |
| Language: | English |
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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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| _version_ | 1850176057602211840 |
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| author | Shengkun Zhu Shengjie Li |
| author_facet | Shengkun Zhu Shengjie Li |
| author_sort | Shengkun Zhu |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-b9ea8b59e15a46a58c2f5052aad4c42f |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-b9ea8b59e15a46a58c2f5052aad4c42f2025-08-20T02:19:19ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/630547630547Exact Penalization and Necessary Optimality Conditions for Multiobjective Optimization Problems with Equilibrium ConstraintsShengkun Zhu0Shengjie Li1Department of Economic Mathematics, Southwestern University of Finance and Economics, Chengdu 611130, ChinaCollege of Mathematics and Statistics, Chongqing University, Chongqing 401331, ChinaA 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.http://dx.doi.org/10.1155/2014/630547 |
| spellingShingle | Shengkun Zhu Shengjie Li Exact Penalization and Necessary Optimality Conditions for Multiobjective Optimization Problems with Equilibrium Constraints Abstract and Applied Analysis |
| title | Exact Penalization and Necessary Optimality Conditions for Multiobjective Optimization Problems with Equilibrium Constraints |
| title_full | Exact Penalization and Necessary Optimality Conditions for Multiobjective Optimization Problems with Equilibrium Constraints |
| title_fullStr | Exact Penalization and Necessary Optimality Conditions for Multiobjective Optimization Problems with Equilibrium Constraints |
| title_full_unstemmed | Exact Penalization and Necessary Optimality Conditions for Multiobjective Optimization Problems with Equilibrium Constraints |
| title_short | Exact Penalization and Necessary Optimality Conditions for Multiobjective Optimization Problems with Equilibrium Constraints |
| title_sort | exact penalization and necessary optimality conditions for multiobjective optimization problems with equilibrium constraints |
| url | http://dx.doi.org/10.1155/2014/630547 |
| work_keys_str_mv | AT shengkunzhu exactpenalizationandnecessaryoptimalityconditionsformultiobjectiveoptimizationproblemswithequilibriumconstraints AT shengjieli exactpenalizationandnecessaryoptimalityconditionsformultiobjectiveoptimizationproblemswithequilibriumconstraints |