Second-Order Optimality Conditions in Multiobjective Optimization Problems |
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| Authors: | Aghezzaf B. Hachimi M. |
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| Affiliation: | (1) Département de Mathématiques et d'Informatique, Faculté des Sciences Aïn Chock, Université Hassan II, Casablanca, Morocco;(2) Département de Mathématiques et d'Informatique, Faculté des Sciences Aïn Chock, Université Hassan II, Casabalanca, Morocco |
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| Abstract: | ![]()
In this paper, we develop second-order necessary and sufficient optimality conditions for multiobjective optimization problems with both equality and inequality constraints. First, we generalize the Lin fundamental theorem (Ref. 1) to second-order tangent sets; then, based on the above generalized theorem, we derive second-order necessary and sufficient conditions for efficiency. |
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| Keywords: | Multiobjective optimization efficient solutions constraint qualifications second-order tangent sets second-order necessary and sufficient conditions |
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