Constraint Qualifications and Necessary Optimality Conditions for Optimization Problems with Variational Inequality Constraints
نویسنده
چکیده
A very general optimization problem with a variational inequality constraint, inequality constraints, and an abstract constraint are studied. Fritz John type and Kuhn–Tucker type necessary optimality conditions involving Mordukhovich coderivatives are derived. Several constraint qualifications for the Kuhn–Tucker type necessary optimality conditions involving Mordukhovich coderivatives are introduced and their relationships are studied. Applications to bilevel programming problems are also given.
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ورودعنوان ژورنال:
- SIAM Journal on Optimization
دوره 10 شماره
صفحات -
تاریخ انتشار 2000