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Optimality conditions of the set-valued optimization problem with generalized cone convex set-valued maps characterized by contingent epiderivative

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First Author : Zhi-ang Zhou

Date of Publication : 2018-01-01

Journal : Acta Mathematicae Applicatae Sinica, English Series

Affiliation of Author(s) : 数理与信息工程学院

Document Type : 期刊

Volume : Vol.34

Issue : No.1

Page Number : 11-18

ISSN : 0168-9673;1618-3932

Key Words : set-valued;maps;generalized;cone;convexity;Henig;proper;efficiency;contingent;epiderivative;optimality;conditions

Abstract : In this paper, firstly, a new notion of generalized cone convex set-valued map is introduced in real normed spaces. Secondly, a property of the generalized cone convex set-valued map involving the contingent epiderivative is obtained. Finally, as the appl

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