Iterative approximation of fixed points of Prešić operators on partial metric spaces

Abstract

We study the convergence of the Prešić type k‐step iterative method for a class of operators satisfying Prešić 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.