Well-posedness for bilevel vector equilibrium problems with variable domination structures
Abstract: In this article, well-posedness for two types of bilevel vector equilibrium problems with variable domination structures are introduced and studied. With the help of cosmically upper continuity or Hausdorff upper semi-continuity for variable domination structures, sufficient and necessary conditions are given for such problems to be Levitin-Polyak (LP) well-posed and LP well-posedness in the generalized sense. As variable domination structure is a valid generalization of fixed one, the main results obtained in this article extend and develop some recent works in the literature.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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Well-posedness for bilevel vector equilibrium problems with variable domination structures ; volume:21 ; number:1 ; year:2023 ; extent:13
Open mathematics ; 21, Heft 1 (2023) (gesamt 13)
- Creator
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Xu, Yu-ping
Wang, San-hua
Li, Qiu-ying
Lu, Bing-yi
- DOI
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10.1515/math-2022-0567
- URN
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urn:nbn:de:101:1-2023040214023633626287
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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24.08.2023, 10:27 AM CEST
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Associated
- Xu, Yu-ping
- Wang, San-hua
- Li, Qiu-ying
- Lu, Bing-yi
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