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Absolute derivative of set-valued maps


Citation

Muslikh, Mohamad and Kilicman, Adem (2022) Absolute derivative of set-valued maps. Bulletin of Mathematical Analysis and Applications, 14 (3). pp. 20-35. ISSN 1821-1291

Abstract

The aim of this article is to develop a differential calculus for setvalued 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 derivative definitions of the set-valued functions and the relation to the Lipschitz conditions was also investigated in this paper.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Publisher: Universiteti i Prishtines Prishtine, Kosovë
Keywords: Defferentiation; Set-valued
Depositing User: Ms. Nur Faseha Mohd Kadim
Date Deposited: 01 Aug 2024 07:37
Last Modified: 01 Aug 2024 07:37
URI: http://psasir.upm.edu.my/id/eprint/100072
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