Convergence and stability theorems for a faster iterative scheme for a general class of contractive-like operators

Ramesh Prasad Pathak, Samir Dashputre, Shailesh Dhar Diwan, Rajlaxmi Gupta

Abstract


The purpose of this paper is to prove strong convergence and stability results for S−iteration procedure which is faster than Picard iteration procedure for the general class of contractive-like operators introduced by Bosede and Rhoades [4] in a real normed linear space. Our results generalize and improve a multitude of results in the literature, including the recent results of Akewe and Okeke [2] and many others for the general class of contractive-like operators using faster iterative procedure.

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How to Cite this Article:

Ramesh Prasad Pathak, Samir Dashputre, Shailesh Dhar Diwan, Rajlaxmi Gupta, Convergence and stability theorems for a faster iterative scheme for a general class of contractive-like operators, Journal of Mathematical and Computational Science, Vol 5, No 5 (2015), 728-736

Copyright © 2015 Ramesh Prasad Pathak, Samir Dashputre, Shailesh Dhar Diwan, Rajlaxmi Gupta. 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.

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