Cyclic projection methods on a class of nonconvex sets. (December 2019)

• Record Type: Journal Article
• Authors: Stephane, Chretien; Pascal, Bondon
• Is Part Of: Numerical functional analysis and optimization. Volume 17:Number 1/2(1996)
• Page Start: 37
• Page End: 56
• Publication Date: 2019-12
• Subjects: Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630569608816681
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract : Many applied problems can be reduced to finding a point in the intersection of sets. This paper is devoted to the analysis of projection methods for sets which admit a convex expansion. Asymptotic results follow, including strong convergence properties. A counterexample clearly shows the difference with the convex case. We also propose stepwise approximation of the initial point