A New Extragradient-Type Algorithm for the Split Feasibility Problem. (22nd February 2016)

• Record Type: Journal Article
• Authors: Dang, Yazheng; Gao, Yan; Wang, Bo
• Other Names: Jazar Reza Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2016(2016)
• Publication Date: 2016-02-22
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2016/6851393
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : We consider the split feasibility problem (SFP) in Hilbert spaces, inspired by extragradient method presented by Ceng, Ansari for split feasibility problem, subgradient extragradient method proposed by Censor, and variant extragradient-type method presented by Yao for variational inequalities; we suggest an extragradient-type algorithm for the SFP. We prove the strong convergence under some suitable conditions in infinite-dimensional Hilbert spaces.