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Existence of minimizers and necessary conditions in set-valued optimization with equilibrium constraints

Truong Q. BaoBoris S. Mordukhovich — 2007

Applications of Mathematics

In this paper we study set-valued optimization problems with equilibrium constraints (SOPECs) described by parametric generalized equations in the form 0 G ( x ) + Q ( x ) , where both G and Q are set-valued mappings between infinite-dimensional spaces. Such models particularly arise from certain optimization-related problems governed by set-valued variational inequalities and first-order optimality conditions in nondifferentiable programming. We establish general results on the existence of optimal solutions under...

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