Demiclosedness principle and convergence theorems for k-strictly asymptotically pseudocontractive maps
- 作者：M.O. Osilike ; A. Udomene ; D.I. Igbokwe ; B.G. Akuchu
- 关键词：Fixed points ; k-Strictly asymptotically pseudocontractive maps ; Mann iteration ; Ishikawa iteration ; q-Uniformly smooth Banach spaces
- 刊名：Journal of Mathematical Analysis and Applications
- 出版年：2007
- 期刊代码：76_0022247x
- 类别：mt
- 出版时间：15 February 2007
- 卷：326
- 期：2
- 页码：1334-1345
- 文件大小：157 K
摘要
Let E be a real q-uniformly smooth Banach space which is also uniformly convex (for example, Lp or ℓp spaces, 1<p<∞), and K a nonempty closed convex (not necessarily bounded) subset of E. Let be a k-strictly asymptotically pseudocontractive map with a nonempty fixed-point set. It is proved that (I−T) is demiclosed at 0. Furthermore, weak and strong convergence of an averaging iteration method to a fixed point of T are proved.