ABSOLUTE DERIVATIVE OF SET-VALUED MAPS

被引：0

作者：

Muslikh, Mohamad ^{[1
]}

Kilicman, Adem ^{[2
]}

机构：

[1] Univ Brawijaya, Fac Math & Sci, Dept Math, Malang 65143, East Java, Indonesia

[2] Univ Putra malaysia, Fac Sci, Dept Math, Serdang, Selangor, Malaysia

来源：

BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2022年 / 14卷 / 03期

关键词：

Set-valued; Defferentiation; INTERVAL; DIFFERENTIABILITY; CALCULUS;

D O I：

10.54671/BMAA-2022-3-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this article is to develop a differential calculus for set-valued functions with values in metric spaces of the family of all compact and convex subsets. Using only the metric Hausdorff on metric spaces and without using the Hukuhara difference, a concept of the derivative is introduced for set-valued functions in such metric spaces. The comparison with the other de-rivative definitions of the set-valued functions and the relation to the Lipschitz conditions was also investigated in this paper.

引用

页码：20 / 35

页数：16

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