Picard Iteration Converges fasterthan Noor Iteration for a Class of Quasi-Contractive Operators
Sezgin Akbulut and Marut Ozdemir* Author for corresponding; e-mail address: sezginakbulut@atauni.edu.tr
Volume: Vol.39 No.4 (OCTOBER 2012)
Research Article
DOI:
Received: 26 November 2010, Revised: -, Accepted: 2 June 2011, Published: -
Citation: Akbulut S. and Ozdemir M., Picard Iteration Converges fasterthan Noor Iteration for a Class of Quasi-Contractive Operators, Chiang Mai Journal of Science, 2012; 39(4): 688-692.
Abstract
The purpose of this paper is to introduce that Noor (three-step) interation converges strongly to fixed point in the class of quasi-contractive operators satisfying Zamfirescu’s conditions and to show that the Picard interation converges faster than the Noor iteration.