Absolute derivative of set-valued maps
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 fo...
| Main Authors: | , |
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| Format: | Article |
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Universiteti i Prishtines Prishtine, Kosovë
2022
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| Online Access: | http://psasir.upm.edu.my/id/eprint/100072/ |
| _version_ | 1848863216750297088 |
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| author | Muslikh, Mohamad Kilicman, Adem |
| author_facet | Muslikh, Mohamad Kilicman, Adem |
| author_sort | Muslikh, Mohamad |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-15T13:29:24Z |
| format | Article |
| id | upm-100072 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-15T13:29:24Z |
| publishDate | 2022 |
| publisher | Universiteti i Prishtines Prishtine, Kosovë |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-1000722024-08-01T07:37:58Z http://psasir.upm.edu.my/id/eprint/100072/ Absolute derivative of set-valued maps Muslikh, Mohamad Kilicman, Adem 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. Universiteti i Prishtines Prishtine, Kosovë 2022-07-07 Article PeerReviewed 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 https://www.emis.de/journals/BMAA/repository/docs/BMAA14-3-2.pdf |
| spellingShingle | Muslikh, Mohamad Kilicman, Adem Absolute derivative of set-valued maps |
| title | Absolute derivative of set-valued maps |
| title_full | Absolute derivative of set-valued maps |
| title_fullStr | Absolute derivative of set-valued maps |
| title_full_unstemmed | Absolute derivative of set-valued maps |
| title_short | Absolute derivative of set-valued maps |
| title_sort | absolute derivative of set-valued maps |
| url | http://psasir.upm.edu.my/id/eprint/100072/ http://psasir.upm.edu.my/id/eprint/100072/ |