Perturbation resilience and superiorization methodology of averaged mappings. (1st March 2017)

• Record Type: Journal Article
• Authors: He, Hongjin; Xu, Hong-Kun
• Is Part Of: Inverse problems. Volume 33:Number 4(2017:Apr.)
• Publication Date: 2017-03-01
• Subjects: constrained convex minimization -- averaged mapping -- bounded perturbation resilience -- superiorization; Inverse problems (Differential equations) -- Periodicals; 515.357
• DOI: 10.1088/1361-6420/33/4/044007
• Languages: English
• ISSNs: 0266-5611

Abstract

Abstract: We first prove the bounded perturbation resilience for the successive fixed point algorithm of averaged mappings, which extends the string-averaging projection and block-iterative projection methods. We then apply the superiorization methodology to a constrained convex minimization problem where the constraint set is the intersection of fixed point sets of a finite family of averaged mappings.