A damped simultaneous iterative method for split equality problems of asymptotically demi-contractive mapping in the intermediate sense without prior knowledge of operator norms. Issue 4 (3rd July 2016)

• Record Type: Journal Article
• Authors: Che, Haitao; Li, Shoujin
• Is Part Of: Journal of interdisciplinary mathematics. Volume 19:Issue 4(2016)
• Page Start: 645
• Page End: 656
• Publication Date: 2016-07-03
• Subjects: Fixed point -- Feasibility problem -- Damped simultaneous iterative method -- Weak convergence -- Asymptotically demi-contractive mapping in the intermediate sense; Mathematics -- Periodicals; Mathematics; Periodicals; 510.5
• DOI: 10.1080/09720502.2016.1179485
• Languages: English
• ISSNs: 0972-0502

Abstract

Abstract: In this article, we propose a damped simultaneous iterative algorithm with a way of selecting the step sizes which does not need any priori information about the operator norms. The sequences generated by the algorithm weakly converge to a solution of split equality problem of asymptotically demi-contractive mapping in the intermediate sense is proved. Preliminary numerical results indicate the feasibility and efficiency of the algorithm.