Rate of Convergence of P-Iteration and S-Iteration for Continuous Functions on Closed Intervals

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 and S-iteration. We also compare the rate of convergence between P-iteration and S-iteration. Some numerical examples for comparing the rate of convergence of those two methods are also given.


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The Thai Journal of Mathematics organized and supported by The Mathematical Association of Thailand and Thailand Research Council and the Center for Promotion of Mathematical Research of Thailand (CEPMART).

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|ISSN 1686-0209|