On Higher-Order Sensitivity Analysis of Parametric Henig Set-Valued Equilibrium Problems. (18th November 2019)

• Record Type: Journal Article
• Authors: Anh, Nguyen Le Hoang
• Is Part Of: Numerical functional analysis and optimization. Volume 40:Number 15(2019)
• Page Start: 1822
• Page End: 1839
• Publication Date: 2019-11-18
• Subjects: Sensitivity analysis -- equilibrium problem -- contingent derivative -- Henig efficient point -- set-valued map; 46G05 -- 49Q12 -- 54C60 -- 90C31; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2019.1639059
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: In the article, we discuss sensitivity analysis of a parametric Henig set-valued equilibrium problem. In detail, relationships between the higher-order contingent derivative of the solution map of this problem and those of objective and constraint maps are established. Finally, applications to parametric set-valued optimization problems are given.