On Modified Noor Iterations for Asymptotically Nonexpansive Mappings
Khan, Abdul Rahim
Bull. Belg. Math. Soc. Simon Stevin, Tome 17 (2010) no. 1, p. 127-140 / Harvested from Project Euclid
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/