On the rate of convergence of Noor, SP and P-iterations for continuous functions on an arbitrary interval

Prayong Sainuan

Abstract


In this paper, we first give a necessary and sufficient condition for convergence of P-iteration to a fixed point of continuous functions on an arbitrary interval and prove equivalence of P-iteration, Noor and SP-iteration. We also compare the convergence speed of Noor, SP-iteration and P-iteration. It is proved that the P-iteration con verges faster than Noor and SP-iterations. Moreover, we also present numerical examples for the P-iteration to compare with the Noor and SP-iterations.

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How to Cite this Article:

Prayong Sainuan, On the rate of convergence of Noor, SP and P-iterations for continuous functions on an arbitrary interval, Advances in Fixed Point Theory, Vol 9, No 1 (2019), 45-68

Copyright © 2019 Prayong Sainuan. 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.

Advances in Fixed Point Theory

ISSN: 1927-6303

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