Strong convergence result for proximal split feasibility problem in Hilbert spaces. (2nd December 2017)

• Record Type: Journal Article
• Authors: Shehu, Yekini; Iyiola, Olaniyi S.
• Is Part Of: Optimization. Volume 66:Number 12(2017)
• Page Start: 2275
• Page End: 2290
• Publication Date: 2017-12-02
• Subjects: Proximal split feasibility problems -- strong convergence -- numerical analysis -- Hilbert spaces; Mathematical optimization -- Periodicals; 519.7
• DOI: 10.1080/02331934.2017.1370648
• Languages: English
• ISSNs: 0233-1934

Abstract

Abstract: In this paper we describe and analyse new computational technique for solving proximal split feasibility problem (SFP) using a modified proximal split feasibility algorithm. The two convex and lower semi-continuous objective functions are assumed to be non-smooth. Some application to SFP are given. We demonstrate the computational efficiency of the proposed algorithm with nontrivial numerical experiments. We also compare our method with other relevant methods in the literature in terms of convergence, stability, efficiency and implementation with our illustrative numerical examples.