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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 : Zhiang

Date of Publication : 2018-01-01

Journal : 应用数学学报(英文版)

Affiliation of Author(s) : 数理与信息工程学院

Document Type : 期刊

Volume : 第34卷

Issue : 第1期

Page Number : 11-18

ISSN : 0168-9673

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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