On the Rate of Convergence of P-Iteration, SP-Iteration, and D-Iteration Methods for Continuous Nondecreasing Functions on Closed Intervals

Autor:	Anchalee Khemphet, Jukkrit Daengsaen
Rok vydání:	2018
Předmět:	Work (thermodynamics) Article Subject Iterative method lcsh:Mathematics Applied Mathematics 010102 general mathematics 010103 numerical & computational mathematics Fixed point lcsh:QA1-939 01 natural sciences Rate of convergence Convergence (routing) Applied mathematics 0101 mathematics Analysis Mathematics
Zdroj:	Abstract and Applied Analysis, Vol 2018 (2018) Abstr. Appl. Anal.
ISSN:	1687-0409 1085-3375
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7cbc3967282db94eed852b101134221c https://doi.org/10.1155/2018/7345401 Zobrazit plný text záznamu Plný text ve formátu PDF Plný text ve formátu HTML
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