Strong convergence theorems for a countable family of quasi-?-asymptotically nonexpansive nonself mappings

详细信息    查看全文

• 作者：Shih-sen Chang^a ; ¹ ; ^{changss@yahoo.cn} ; Lin Wang^a ; Yong-Kun Tang^a ; Bin Wang^a ; Li-Juan Qin^b
• 关键词：Quasi-? asymptotically nonexpansive nonself mappings ; Quasi-?-asymptotically nonexpansive mapping ; Quasi-?-nonexpansive nonself mapping ; Quasi-?-nonexpansive mapping ; Asymptotically nonexpansive mapping ; Generalized projection
• 刊名：Applied Mathematics and Computation
• 出版年：2012
• 出版时间：1 April, 2012
• 年：2012
• 卷：218
• 期：15
• 页码：7864-7870
• 全文大小：195 K

文摘

The purpose of this article is to introduce a class of quasi-?-asymptotically nonexpansive nonself mappings and to study the strong convergence under a limit condition only in the framework of Banach spaces. As an application, we utilize our results to study the approximation problem of solution to a system of equilibrium problems. The results presented in the paper improve and extend the corresponding results announced by some authors recently.