The main aim of this paper is to introduce a modified Noor iterations scheme
to provide a unified approach to the Mann and Ishikawa iteration processes. We
study weak and strong convergence of the new iterations scheme of a nonself
asymptotically nonexpansive map satisfying a new control condition in
uniformly convex Banach spaces. Several recent results about Mann-type and
Ishikawa-type iteration schemes for nonself(self) asymptotically nonexpansive
maps follow directly and concurrently from our results.
Publié le : 2010-02-15
Classification:
Nonself asymptotically nonexpansive map,
Retract,
Fixed point,
Weak and strong convergence,
Condition (A),
47H09,
47H10,
65J15
@article{1267798503,
author = {Khan, Abdul Rahim},
title = {On Modified Noor Iterations for Asymptotically Nonexpansive Mappings},
journal = {Bull. Belg. Math. Soc. Simon Stevin},
volume = {17},
number = {1},
year = {2010},
pages = { 127-140},
language = {en},
url = {http://dml.mathdoc.fr/item/1267798503}
}
Khan, Abdul Rahim. On Modified Noor Iterations for Asymptotically Nonexpansive Mappings. Bull. Belg. Math. Soc. Simon Stevin, Tome 17 (2010) no. 1, pp. 127-140. http://gdmltest.u-ga.fr/item/1267798503/