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

作者：Ilic Dejan^*; Abbas Mujahid; Nazir Talat

来源：Mathematische Nachrichten, 2015, 288(14-15): 1634-1646.

DOI：10.1002/mana.201400235

• fixed point approximation
• iterative method
• partial metric
• equilibrium point
• matrix difference equation
• global attractivity

We study the convergence of the Presic type k-step iterative method for a class of operators f : X-k -> X satisfying Presic 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.

• 出版日期2015-10