# Iterates of Bernstein type operators on a square with one curved side via contraction principle

## Abstract

Given a function defined on a square with one curved side, we consider some Bernstein-type operators as well as their product and Boolean sum. Using the weakly Picard operators technique and the contraction principle, we study the convergence of the iterates of these operators.

## Authors

T. Catinas
(Babes Bolyai Univ.)

D. Otrocol
(Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy)

## Keywords

Square with curved side, Bernstein operators, contraction principle, weakly Picard operators.

## Cite this paper as:

T. Catinas, D.  Otrocol, Iterates of Bernstein type operators on a square with one curved side via contraction principle, Fixed Point Theory, 14(2013), no. 1, pp. 97-106

## PDF

##### Journal

Fixed Point Theory

##### Publisher Name

Casa Cartii de Stiinta, Cluj-Napoca, Romania

1583-5022

2066-9208

MR3821782

1397.34108