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Title: On the Rate of Convergence of P-Iteration, SP-Iteration, and D-Iteration Methods for Continuous Nondecreasing Functions on Closed Intervals
Authors: Jukkrit Daengsaen
Anchalee Khemphet
Keywords: Mathematics
Issue Date: 1-Jan-2018
Abstract: © 2018 Jukkrit Daengsaen and Anchalee Khemphet. We introduce a new iterative method called D-iteration to approximate a fixed point of continuous nondecreasing functions on arbitrary closed intervals. The purpose is to improve the rate of convergence compared to previous work. Specifically, our main result shows that D-iteration converges faster than P-iteration and SP-iteration to the fixed point. Consequently, we have that D-iteration converges faster than the others under the same computational cost. Moreover, the analogue of their convergence theorem holds for D-iteration.
ISSN: 16870409
Appears in Collections:CMUL: Journal Articles

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