Journal
SIAM JOURNAL ON CONTROL AND OPTIMIZATION
Volume 38, Issue 5, Pages 1623-1638Publisher
SIAM PUBLICATIONS
DOI: 10.1137/S0363012999352911
Keywords
generalized equation; coderivative; subdifferential; constraint qualification
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The paper concerns an optimization problem with a generalized equation among the constraints. This model includes standard mathematical programs with parameter-dependent variational inequalities or complementarity problems as side constraints. Using Mordukhovich's generalized differential calculus, we derive necessary optimality conditions and apply them to problems, where the equilibria are governed by implicit complementarity problems and by hemivariational inequalities.
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