Multiobjective Optimization Problem with Variational Inequality Constraintst
J. J. Ye and Q. J. Zhu
Abstract: We study a general multiobjective optimization problem with variational
inequality, equality,
inequality and abstract constraints. Fritz John type necessary optimality conditions
involving Mordukhovich
coderivatives are derived. They lead to Kuhn-Tucker type necessary optimality
conditions under additional constraint qualifications including the calmness condition,
the error bounded constraint qualification, the no nonzero abnormal multiplier
constraint qualification, the generalized Mangasarian-Fromovitz condition, the
strongly regular constraint qualification and the
linear constraint qualification. We then apply these results to the multiobjective
optimization problem with complementary constraints and the multiobjective bilevel
programming problem.
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