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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Vydané v:AIMS mathematics Ročník 5; číslo 4; s. 3182 - 3200
Hlavní autori: Garodia, Chanchal, Uddin, Izhar
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: AIMS Press 01.01.2020
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Abstract 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.
AbstractList 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.
Author Garodia, Chanchal
Uddin, Izhar
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28
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C. Huang, S. Vandewalle (14)
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StartPage 3182
SubjectTerms contractive-like mappings
delay differential equation
fixed point
iteration process
strong and weak convergence
suzuki generalized nonexpansive mappings
Title A new fixed point algorithm for finding the solution of a delay differential equation
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