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