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, issue 1

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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https://doi.org/10.1155/2012/526503

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2012:y:2012:i:1:n:526503

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