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On a new iteration scheme for numerical reckoning fixed points of Berinde mappings with convergence analysis
Author(s) -
Wutiphol Sintunavarat,
Ariana Pitea
Publication year - 2016
Publication title -
the journal of nonlinear sciences and applications
Language(s) - English
Resource type - Journals
eISSN - 2008-1901
pISSN - 2008-1898
DOI - 10.22436/jnsa.009.05.53
Subject(s) - mathematics , convergence (economics) , scheme (mathematics) , fixed point , fixed point iteration , mathematical analysis , economics , economic growth
The aim of this work is to introduce a new three step iteration scheme for approximating fixed points of the nonlinear self mappings on a normed linear spaces satisfying Berinde contractive condition. We also study the sufficient condition to prove that our iteration process is faster than the iteration processes of Mann, Ishikawa and Agarwal, et al. Furthermore, we give two numerical examples which fixed points are approximated by using MATLAB. c ©2016 All rights reserved.

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