Journal of Applied Mathematics

On the Rate of Convergence of Kirk-Type Iterative Schemes

Nawab Hussain, Renu Chugh, Vivek Kumar, and Arif Rafiq

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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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J. Appl. Math., Volume 2012 (2012), Article ID 526503, 22 pages.

First available in Project Euclid: 14 December 2012

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Hussain, Nawab; Chugh, Renu; Kumar, Vivek; Rafiq, Arif. On the Rate of Convergence of Kirk-Type Iterative Schemes. J. Appl. Math. 2012 (2012), Article ID 526503, 22 pages. doi:10.1155/2012/526503.

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