## 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

## About this paper

##### Journal

Fixed Point Theory

##### Publisher Name

Casa Cartii de Stiinta, Cluj-Napoca, Romania

##### Print ISSN

1583-5022

##### Online ISSN

2066-9208

##### MR

MR3821782

##### ZBL

1397.34108

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