Weak and Strong Convergence Theorems for the Multiple-Set Split Equality Common Fixed-Point Problems of Demicontractive Mappings. (24th December 2017)

• Record Type: Journal Article
• Authors: Wang, Yaqin; Kim, Tae-Hwa; Fang, Xiaoli
• Other Names: Zhang Xinguang Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2017(2017)
• Publication Date: 2017-12-24
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2017/5306802
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : We consider mixed parallel and cyclic iterative algorithms in this paper to solve the multiple-set split equality common fixed-point problem which is a generalization of the split equality problem and the split feasibility problem for the demicontractive mappings without prior knowledge of operator norms in real Hilbert spaces. Some weak and strong convergence results are established. The results obtained in this paper generalize and improve the recent ones announced by many others.