Satit Saejung
Weerayuth Nilsrakoo

Generalized Noor iterations with errors for asymptotically nonexpansive mappings

The paper is published: Rostocker Mathematisches Kolloquium, Rostock. Math. Kolloq. 62, 71 - 85 (2007)

MSC: 47H09   Nonexpansive mappings, and their generalizations (ultimately compact mappings, measures of noncompactness and condensing mappings, $A$-proper mappings, $K$-set contractions, etc.)
  47H10   Fixed-point theorems [See also 54H25, 55M20, 58C30]

Abstract:   In the present paper, we define and study a new three-step iterative schemes with errors. Several strong convergence theorems of this scheme are established for asymptotically nonexpansive mappings. Our results extend and improve the recent ones announced by Osilike and Aniagbosor, Cho et.al, Liu and Kang, Nammanee et al., and many others.

Keywords:   asymptotically nonexpansive mapping, uniformly convex Banach space, Mann-type iteration, Ishikawa-type iteration, Noor-type iteration
 
Notes:   Satit Saejung is supported by the Thailand Research Fund and the Commission on Higher Education under grant MRG4980022.

karin.martin@uni-rostock.de
Seite generiert am 07.08.2007,   11:29   Uhr