Higher-order optimality conditions for strict and weak efficient solutions in set-valued optimization
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In this paper, we introduce a notion of higher-order Studniarski epiderivative of a set-valued map and study its properties. Then, we discuss their applications to optimality conditions in set-valued optimization. Higher-order optimality conditions for strict and weak efficient solutions of a constrained set-valued optimization problem are established. Some remarks on the existing results in the literature are given from our results.
KeywordsHigher-order Studniarski epiderivative Set-valued optimization problem Optimality condition Strict efficient solution Weak efficient solution C-preinvexity
Mathematics Subject Classification32F17 46G05 54C60 90C46
This research was supported by Vietnam National University Hochiminh City (VNU-HCM) under grant number B2015-28-03. The author thanks an anonymous referee for helpful remarks and suggestions.
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