On the Rate of Convergence of Kirk-Type Iterative Schemes

Nawab Hussain, Renu Chugh, Vivek Kumar and Arif Rafiq

Journal of Applied Mathematics, 2012, vol. 2012, 1-22

Abstract:

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:526503

DOI: 10.1155/2012/526503

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