Demiclosedness principle and convergence theorems for k-strictly asymptotically pseudocontractive maps

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:326

Article

Osilike, M. O. ; Udomene, A. ; Igbokwe, D. I. ; Akuchu, B. G.

关键词: fixed points;    k-strictly asymptotically pseudocontractive maps;    Mann iteration;    Ishikawa iteration;    q-uniformly smooth Banach spaces;   

DOI  :  10.1016/j.jmaa.2005.12.052

来源: Elsevier

【 摘 要 】

Let E be a real q-uniformly smooth Banach space which is also uniformly convex (for example, L-p or l(p) spaces, 1 < p < infinity), and K a nonempty closed convex (not necessarily bounded) subset of E. Let T: K -> K 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. (c) 2006 Elsevier Inc. All rights reserved.

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