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
Google Scholar
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