THE RELATIONSHIP BETWEEN THE CONE-WEAK SUBDIFFERENTIAL AND CONE-WEAK DIRECTION DERIVATIVE FOR CONVEX SET-VALUED MAPPING

Zhi Qing MENG;Yu Da HU

系统科学与复杂性(英文) ›› 2000, Vol. 13 ›› Issue (3) : 327-332.

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系统科学与复杂性(英文) ›› 2000, Vol. 13 ›› Issue (3) : 327-332.
论文

THE RELATIONSHIP BETWEEN THE CONE-WEAK SUBDIFFERENTIAL AND CONE-WEAK DIRECTION DERIVATIVE FOR CONVEX SET-VALUED MAPPING

    Zhi Qing MENG(1),Yu Da HU(2)
作者信息 +

THE RELATIONSHIP BETWEEN THE CONE-WEAK SUBDIFFERENTIAL AND CONE-WEAK DIRECTION DERIVATIVE FOR CONVEX SET-VALUED MAPPING

    Zhi Qing MENG(1),Yu Da HU(2)
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摘要

In this paper, we introduce the concepts of the conesweak subdifferential and the cone-weak direction derivative of convex set-valued mapping in a locally convex topological vector space. We study the relationship between them and obtain some important results.

Abstract

In this paper, we introduce the concepts of the conesweak subdifferential and the cone-weak direction derivative of convex set-valued mapping in a locally convex topological vector space. We study the relationship between them and obtain some important results.

关键词

Set-valued mapping / cone-weak

Key words

Set-valued mapping / cone-weak subgradient / cone-weak subdifferential / coneweak direction

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Zhi Qing MENG , Yu Da HU. THE RELATIONSHIP BETWEEN THE CONE-WEAK SUBDIFFERENTIAL AND CONE-WEAK DIRECTION DERIVATIVE FOR CONVEX SET-VALUED MAPPING. 系统科学与复杂性(英文), 2000, 13(3): 327-332
Zhi Qing MENG , Yu Da HU. THE RELATIONSHIP BETWEEN THE CONE-WEAK SUBDIFFERENTIAL AND CONE-WEAK DIRECTION DERIVATIVE FOR CONVEX SET-VALUED MAPPING. Journal of Systems Science and Complexity, 2000, 13(3): 327-332
PDF(326 KB)

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