The convergence of mean value iteration for a family of maps

We consider a mean value iteration for a family of functions, which corresponds to the Mann iteration with lim⁡n→∞  αn≠0. We prove convergence results for this iteration when applied to strongly pseudocontractive or strongly accretive maps.

Bibliographic Details
Main Authors: B. E. Rhoades, Ştefan M. Şoltuz
Format: Article
Language:English
Published: Hindawi Limited 2005-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/IJMMS.2005.3479