Convergence of an implicit iterative process for asymptotically pseudocontractive nonself-mappings

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• 作者：Xiaolong Qin^a ; ^b ; ^{qxlxajh@163.com"" rel=""nofollow} ; ^{ljjhqxl@yahoo.com.cn"" rel=""nofollow} ; Sun Young Cho^c ; ^{ooly61@yahoo.co.kr"" rel=""nofollow} ; Tianze Wang^a ; ^{wangtz@henu.edu.cn"" rel=""nofollow} ; Shin Min Kang^d ; ^{smkang@gnu.ac.kr"" rel=""nofollow}
• 关键词：Asymptotically pseudocontractive nonself-mapping ; Asymptotically nonexpansive nonself-mapping ; Fixed point ; Implicit iterative process
• 刊名：Nonlinear Analysis
• 出版年：2011
• 出版时间：December 2011
• 年：2011
• 卷：74
• 期：17
• 页码：5851-5862
• 全文大小：251 K

文摘

In this work, an implicit iterative process is considered for asymptotically pseudocontractive nonself-mappings. Weak and strong convergence theorems for common fixed points of a family of asymptotically pseudocontractive nonself-mappings are established in the framework of Hilbert spaces.