On the stability of approximate solutions to set-valued equilibrium problems. (2nd August 2020)

• Record Type: Journal Article
• Authors: Anh, Lam Quoc; Duoc, Pham Thanh; Tam, Tran Ngoc
• Is Part Of: Optimization. Volume 69:Number 7/8(2020)
• Page Start: 1583
• Page End: 1599
• Publication Date: 2020-08-02
• Subjects: Equilibrium problem -- variational inequality -- linear scalarization -- stability of approximate solutions -- traffic network equilibrium problem; 49K40 -- 90C31 -- 91B50; Mathematical optimization -- Periodicals; 519.7
• DOI: 10.1080/02331934.2019.1646744
• Languages: English
• ISSNs: 0233-1934

Abstract

Abstract : In this paper, we consider set-valued equilibrium problems in Hausdorff locally convex topological vector spaces. Based on linear scalarization techniques for sets, we study sufficient conditions for the stability of approximate solutions to such problems. Variational inequalities with equilibrium constraints and weak traffic network equilibrium problems are also discussed as applications of the main results.