Open Access
2012 On the Rate of Convergence of Kirk-Type Iterative Schemes
Nawab Hussain, Renu Chugh, Vivek Kumar, Arif Rafiq
J. Appl. Math. 2012: 1-22 (2012). DOI: 10.1155/2012/526503


The purpose of this paper is to introduce Kirk-type new iterative schemes called Kirk-SP and Kirk-CR schemes and to study the convergence of these iterative schemes by employing certain quasi-contractive operators. By taking an example, we will compare Kirk-SP, Kirk-CR, Kirk-Mann, Kirk-Ishikawa, and Kirk-Noor iterative schemes for aforementioned class of operators. Also, using computer programs in C++, we compare the above-mentioned iterative schemes through examples of increasing, decreasing, sublinear, superlinear, and oscillatory functions.


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Nawab Hussain. Renu Chugh. Vivek Kumar. Arif Rafiq. "On the Rate of Convergence of Kirk-Type Iterative Schemes." J. Appl. Math. 2012 1 - 22, 2012.


Published: 2012
First available in Project Euclid: 14 December 2012

zbMATH: 1325.47120
MathSciNet: MR2956510
Digital Object Identifier: 10.1155/2012/526503

Rights: Copyright © 2012 Hindawi

Vol.2012 • 2012
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