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Iterative approximation of fixed points of Prešić operators on partial metric spaces |
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| Authors: | Dejan Ilić Mujahid Abbas Talat Nazir |
| Affiliation: | 1. University of Ni?, Faculty of Sciences and Mathematics, Ni?, Serbia;2. Department of Mathematics and Applied Mathematics, University of Pretoria, Pretoria, South Africa;3. COMSATS Institute of Information Technology, Abbottabad, Pakistan |
| Abstract: | We study the convergence of the Pre?i? type k‐step iterative method for a class of operators  satisfying Pre?i? type contractive conditions on the setting of partial metric spaces. Some examples are presented to illustrate our obtained results. As applications of the presented convergence theorems, we derive global attractivity results for a class of matrix difference equations. Numerical experiments are also presented to illustrate the theoretical findings. |
| Keywords: | fixed point approximation iterative method partial metric equilibrium point matrix difference equation global attractivity 47H10 54H25 65Q10 65Q30 |