Second-order optimality conditions in multiobjective optimization problems

Second-order optimality conditions in multiobjective optimization problems

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Article ID: iaor20001823
Country: United States
Volume: 102
Issue: 1
Start Page Number: 37
End Page Number: 50
Publication Date: Jul 1999
Journal: Journal of Optimization Theory and Applications
Authors: ,
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 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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