Directional Pareto Efficiency: Concepts and Optimality Conditions
نویسندگان
چکیده
منابع مشابه
Optimality conditions for Pareto efficiency and proper ideal point in set-valued nonsmooth vector optimization using contingent cone
In this paper, we first present a new important property for Bouligand tangent cone (contingent cone) of a star-shaped set. We then establish optimality conditions for Pareto minima and proper ideal efficiencies in nonsmooth vector optimization problems by means of Bouligand tangent cone of image set, where the objective is generalized cone convex set-valued map, in general real normed spaces.
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متن کاملoptimality conditions for pareto efficiency and proper ideal point in set-valued nonsmooth vector optimization using contingent cone
in this paper, we first present a new important property for bouligand tangent cone (contingent cone) of a star-shaped set. we then establish optimality conditions for pareto minima and proper ideal efficiencies in nonsmooth vector optimization problems by means of bouligand tangent cone of image set, where the objective is generalized cone convex set-valued map, in general real normed spaces.
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ژورنال
عنوان ژورنال: Journal of Optimization Theory and Applications
سال: 2019
ISSN: 0022-3239,1573-2878
DOI: 10.1007/s10957-019-01503-0