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The Scientific World Journal
Volume 2014, Article ID 852475, 8 pages
Research Article

On the Convergence and Stability Results for a New General Iterative Process

Department of Mathematical Engineering, Yildiz Technical University, Davutpasa Campus, Esenler, 34220 Istanbul, Turkey

Received 14 June 2014; Accepted 11 August 2014; Published 2 September 2014

Academic Editor: Syed Abdul Mohiuddine

Copyright © 2014 Kadri Doğan and Vatan Karakaya. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We put forward a new general iterative process. We prove a convergence result as well as a stability result regarding this new iterative process for weak contraction operators.