On Some Stability Results for Fixed Point Iteration Procedure
Abstract
In this study, we establish that both the Mann and Ishikawa iteration processes are T-stable for the mappings T satisfying a more general contractive definition than that of Osilike[1] . The results obtained generalize some of the recent results of Osilike[1] which are themselves generalizations and extensions of some of the results of Harder and Hicks[2] and Rhoades[3,4].
DOI: https://doi.org/10.3844/jmssp.2006.339.342
Copyright: © 2006 M. O. Olatinwo, O. O. Owojori and C. O. Imoru. This is an open access article distributed under the terms of the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
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Keywords
- Stability results
- fixed point iteration procedure