Optimality conditions for weakly efficient solutions of vector variational inequalities via convexificators

Journal of Nonlinear and Variational Analysis · 2018

Fritz John necessary conditions for weakly efficient solutions of nonsmooth vector variational inequality problems with constraints in terms of convexificators are derived.Karush-Kuhn-Tucker necessary efficiency conditions are established under a Mangasarian-Fromovitz type constraint qualification.Finally, sufficient conditions are given under suitable assumptions on the generalized convexity.

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