On Two Projection Algorithms for the Multiple-Sets Split Feasibility Problem. (15th December 2013)

• Record Type: Journal Article
• Authors: Dong, Qiao-Li; He, Songnian
• Other Names: Cveticanin Livija Academic Editor.
• Is Part Of: Journal of applied mathematics. Volume 2013(2013)
• Publication Date: 2013-12-15
• Subjects: Mathematics -- Periodicals; 519.05
• DOI: 10.1155/2013/347401
• Languages: English
• ISSNs: 1110-757X

Abstract

Abstract : We present a projection algorithm which modifies the method proposed by Censor and Elfving (1994) and also introduce a self-adaptive algorithm for the multiple-sets split feasibility problem (MSFP). The global rates of convergence are firstly investigated and the sequences generated by two algorithms are proved to converge to a solution of the MSFP. The efficiency of the proposed algorithms is illustrated by some numerical tests.