Necessary conditions for weak minima and for strict minima of order two in nonsmooth constrained multiobjective optimization
In this paper, we give necessary conditions for the existence of a strict local minimum of order two for multiobjective optimization problems with equality and inequality constraints. We suppose that the objective function and the active inequality constraints are only locally Lipschitz. We consider...
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| Veröffentlicht in: | Journal of global optimization 2021-05, Vol.80 (1), p.177-193 |
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| creator | Constantin, Elena |
| description | In this paper, we give necessary conditions for the existence of a strict local minimum of order two for multiobjective optimization problems with equality and inequality constraints. We suppose that the objective function and the active inequality constraints are only locally Lipschitz. We consider both regular equality constraints and degenerate equality constraints. This article could be considered as a continuation of [E. Constantin, Necessary Conditions for Weak Efficiency for Nonsmooth Degenerate Multiobjective Optimization Problems, J. Global Optim, 75, 111-129, 2019]. We introduce a constraint qualification and a regularity condition, and we show that under each of them, the dual necessary conditions for a weak local minimum of the aforementioned article become of Kuhn-Tucker type. |
| doi_str_mv | 10.1007/s10898-021-01016-z |
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| subjects | Computer Science Constraints Equality Mathematics Mathematics and Statistics Minima Multiple objective analysis Operations Research/Decision Theory Optimization Real Functions |
| title | Necessary conditions for weak minima and for strict minima of order two in nonsmooth constrained multiobjective optimization |
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