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| Paper IPM / M / 15177 |
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| Abstract: | |
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We state the Abadie constraint qualification for multiobjective optimization problems
involving inequality, equality constraints and a closed abstract set constraint and derive
the necessary optimality conditions at weak Pareto optimal solutions based on the limiting
subdifferential. In contrast to themost developedworks on multiobjective problems, this constraint
qualification entirely depends on the feasible set. Moreover, the relationship between
the Abadie constraint qualification and the local error bound condition is studied. Finally
some examples are provided to clarify our results.
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