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

Autor: Yu-ping Xu, San-hua Wang, Qiu-ying Li, Bing-yi Lu
Rok vydání: 2023
Předmět:
Zdroj: Open Mathematics. 21
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.
Databáze: OpenAIRE