Well-posedness for bilevel vector equilibrium problems with variable domination structures

Autor: Xu Yu-ping, Wang San-hua, Li Qiu-ying, Lu Bing-yi
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Open Mathematics, Vol 21, Iss 1, Pp 527-537 (2023)
Druh dokumentu: article
ISSN: 2391-5455
DOI: 10.1515/math-2022-0567
Popis: 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.
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