Well-posedness for bilevel vector equilibrium problems with variable domination structures-Reference-Cited by-同舟云学术

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

Published:2023-01-01 Issue:1 Volume:21 Page:
ISSN:2391-5455
Container-title:Open Mathematics
language:en
Short-container-title:

Author:

Xu Yu-ping¹,Wang San-hua¹,Li Qiu-ying²,Lu Bing-yi³

Affiliation:

1. Department of Mathematics, Nanchang University , Nanchang 330031 , China

2. Nanchang University College of Science and Technology , Gongqingcheng 332020 , China

3. Institute for Advanced Study, Nanchang University , Nanchang 330031 , China

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2022-0567/pdf

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