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...

Full description

Saved in:

Bibliographic Details
Published in:	AIMS mathematics Vol. 5; no. 4; pp. 3182 - 3200
Main Authors:	Garodia, Chanchal, Uddin, Izhar
Format:	Journal Article
Language:	English
Published:	AIMS Press 01.01.2020
Subjects:	contractive-like mappings delay differential equation fixed point iteration process strong and weak convergence suzuki generalized nonexpansive mappings
ISSN:	2473-6988, 2473-6988
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Description
Summary:	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