An ε-Minimax Theorem for Bi-Lower-Semicontinuous Set-Valued Mappings. (19th May 2019)

• Record Type: Journal Article
• Authors: Jin, Caiyun
• Is Part Of: Numerical functional analysis and optimization. Volume 40:Number 7(2019)
• Page Start: 825
• Page End: 843
• Publication Date: 2019-05-19
• Subjects: Set-valued mapping -- minimax theorem -- bi-lower-semicontinuous -- approximate minimal point; 49J35 -- 49J53 -- 49K35 -- 90C47; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2018.1559188
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: In this article, an approximate minimax theorem for bi-lower-semicontinuous set-valued mapping was proved, relationships between semicontinuous set-valued mappings are discussed and the existence of approximate maxmin was given. The minimax theorem in this article is the first minimax theorem that doesn't require the set-valued mappings to be continuous.