Variational principles for set-valued mappings with applications to multiobjective optimization
Existence of minimizers and necessary conditions in set-valued optimization with equilibrium constraints
In this paper we study set-valued optimization problems with equilibrium constraints (SOPECs) described by parametric generalized equations in the form where both and 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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