A new fixed point algorithm for finding the solution of a delay differential equation

In this paper, we construct a new iterative algorithm and show that the newly introduced iterative algorithm converges faster than a number of existing iterative algorithms. We present a numerical example followed by graphs to validate our claim. We prove strong and weak convergence results for appr...

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Vydáno v:	AIMS mathematics Ročník 5; číslo 4; s. 3182 - 3200
Hlavní autoři:	Garodia, Chanchal, Uddin, Izhar
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	AIMS Press 01.01.2020
Témata:	contractive-like mappings delay differential equation fixed point iteration process strong and weak convergence suzuki generalized nonexpansive mappings
ISSN:	2473-6988, 2473-6988
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Popis
Shrnutí:	In this paper, we construct a new iterative algorithm and show that the newly introduced iterative algorithm converges faster than a number of existing iterative algorithms. We present a numerical example followed by graphs to validate our claim. We prove strong and weak convergence results for approximating fixed points of Suzuki generalized nonexpansive mappings. Again we reconfirm our results by example and table. Further, we utilize our proposed algorithm to solve delay differential equation.
ISSN:	2473-6988 2473-6988
DOI:	10.3934/math.2020205