Zeroes of Multifunctions with Noncompact Image Sets
In this article we consider zeroes for multifunctions with possibly noncompact image sets. We introduce the notion of multifunction with <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="double-...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-09-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/12/9/879 |
| _version_ | 1797581311156682752 |
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| author | Pavlo O. Kasyanov Liudmyla B. Levenchuk Angela V. Piatova |
| author_facet | Pavlo O. Kasyanov Liudmyla B. Levenchuk Angela V. Piatova |
| author_sort | Pavlo O. Kasyanov |
| collection | DOAJ |
| description | In this article we consider zeroes for multifunctions with possibly noncompact image sets. We introduce the notion of multifunction with <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="double-struck">K</mi></semantics></math></inline-formula>-inf-compact support. We also establish three types of applications: the Bayesian approach for analysis of financial operational risk under certain constraints, occupational health and safety measures optimization, and transfer of space innovations and technologies. |
| first_indexed | 2024-03-10T23:02:32Z |
| format | Article |
| id | doaj.art-73e565d105f045b19219030be34ed3d0 |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-10T23:02:32Z |
| publishDate | 2023-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-73e565d105f045b19219030be34ed3d02023-11-19T09:32:59ZengMDPI AGAxioms2075-16802023-09-0112987910.3390/axioms12090879Zeroes of Multifunctions with Noncompact Image SetsPavlo O. Kasyanov0Liudmyla B. Levenchuk1Angela V. Piatova2Institute for Applied System Analysis, National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”, Beresteiskyi Ave., 37, Build. 35, 03056 Kyiv, UkraineNational Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”, Beresteiskyi Ave., 37, Build. 35, 03056 Kyiv, UkraineNational Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”, Beresteiskyi Ave., 37, Build. 35, 03056 Kyiv, UkraineIn this article we consider zeroes for multifunctions with possibly noncompact image sets. We introduce the notion of multifunction with <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="double-struck">K</mi></semantics></math></inline-formula>-inf-compact support. We also establish three types of applications: the Bayesian approach for analysis of financial operational risk under certain constraints, occupational health and safety measures optimization, and transfer of space innovations and technologies.https://www.mdpi.com/2075-1680/12/9/879operator inclusion?-inf-compact supportoperational risk |
| spellingShingle | Pavlo O. Kasyanov Liudmyla B. Levenchuk Angela V. Piatova Zeroes of Multifunctions with Noncompact Image Sets Axioms operator inclusion ?-inf-compact support operational risk |
| title | Zeroes of Multifunctions with Noncompact Image Sets |
| title_full | Zeroes of Multifunctions with Noncompact Image Sets |
| title_fullStr | Zeroes of Multifunctions with Noncompact Image Sets |
| title_full_unstemmed | Zeroes of Multifunctions with Noncompact Image Sets |
| title_short | Zeroes of Multifunctions with Noncompact Image Sets |
| title_sort | zeroes of multifunctions with noncompact image sets |
| topic | operator inclusion ?-inf-compact support operational risk |
| url | https://www.mdpi.com/2075-1680/12/9/879 |
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