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.

Standort
Deutsche Nationalbibliothek Frankfurt am Main
Umfang
Online-Ressource
Sprache
Englisch

Erschienen in
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)

Urheber
Xu, Yu-ping
Wang, San-hua
Li, Qiu-ying
Lu, Bing-yi

DOI
10.1515/math-2022-0567
URN
urn:nbn:de:101:1-2023040214023633626287
Rechteinformation
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Letzte Aktualisierung
14.08.2025, 10:48 MESZ

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Beteiligte

  • Xu, Yu-ping
  • Wang, San-hua
  • Li, Qiu-ying
  • Lu, Bing-yi

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