Search results for "iterate operators"

Aspects regarding the existence of fixed points of the iterates of Stancu operators

2019

In the papers Iterates of Stancu Operators, via Contraction Principle (2002), respectively Iterates of Bernstein Operators, via Contraction Principle (2004), author I. A. Rus studied the existence of fixed points for Stancu operators Pn,α,β and Bernstein operators Bn. The aim of this paper is to find conditions for which the Stancu operators Pn,α,β are contractions on the graph, in order to demonstrate that the contraction principle can be applied for the study of the existence of fixed points for iterates of Stancu operators. The method used for this paper is the spectral method, which was also used in the paper Over-iterates of Bernstein-Stancu operators (2007), authors Gonska, Piţul and …