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Article

Keywords:
multiobjective programming; nonsmooth constrained optimization; second-order optimality conditions; nondominated solutions; local Pareto optimal solutions
Summary:
We examine new second-order necessary conditions and sufficient conditions which characterize nondominated solutions of a generalized constrained multiobjective programming problem. The vector-valued criterion function as well as constraint functions are supposed to be from the class $C^{1,1}$. Second-order optimality conditions for local Pareto solutions are derived as a special case.
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