Hölder Continuity of the Saddle Point Set for Real-Valued Functions. (2nd November 2017)

• Record Type: Journal Article
• Authors: Li, Xiao-Bing; Lin, Zhi; Wang, Qi-Lin; Chen, Jia-Wei
• Is Part Of: Numerical functional analysis and optimization. Volume 38:Number 11(2017)
• Page Start: 1410
• Page End: 1425
• Publication Date: 2017-11-02
• Subjects: Constrained optimization problems -- Hölder continuity -- linear normed spaces -- saddle points -- strong convexity; 46N10 -- 90C25 -- 90C31 -- 90C47; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2017.1327444
• Languages: English
• ISSNs: 0163-0563

Abstract

ABSTRACT: This paper is concerned with Hölder continuity of the solution to a saddle point problem. Some new sufficient conditions for the uniqueness and Hölder continuity of the solution for a perturbed saddle point problem are established. Applications of the result on Hölder continuity of the solution for perturbed constrained optimization problems are presented under mild conditions. Examples are given to illustrate the obtained results.