文章基本信息
- 标题：Mann Type Implicit Iteration Approximation for Multivalued Mappings in Banach Spaces
- 本地全文：下载
- 作者：Huimin He ; Sanyang Liu ; Rudong Chen 等
- 期刊名称：Fixed Point Theory and Applications
- 印刷版ISSN：1687-1820
- 电子版ISSN：1687-1812
- 出版年度：2010
- 卷号：2010
- DOI：10.1155/2010/140530
- 出版社：Hindawi Publishing Corporation
- 摘要：
Let K be a nonempty compact convex subset of a uniformly convex Banach space E and let T be a multivalued nonexpansive mapping. For the implicit iterates x0∈K, xn=αnxn-1+(1-αn)yn, yn∈Txn, n≥1. We proved that {xn} converges strongly to a fixed point of T under some suitable conditions. Our results extended corresponding ones and revised a gap in the work of Panyanak (2007).
