On the iterates of uni- and multidimensional operators

Abstract

The problem of the convergence of the iterates of operators or of a sequence of operators is discussed in a general framework related to the fixed point theory, but with a permanent look towards the theory of linear approximation operators. The results are obtained for operators not necessarily linear. Some examples including the class of approximation operators defined by H. Brass are given.

Authors

Radu Precup
Department of Mathematics Babes-Bolyai University, Cluj-Napoca, Romania
Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy

Keywords

Bernstein type operator; contraction principle; Perov theorem.

Paper coordinates

R. Precup, On the iterates of uni-and multidimensional operators, Bulletin of the Transilvania University of Brasov Series III: Mathematics and Computer Science, 3(65) (2023) no. 2, pp. 143-152, https://doi.org/10.31926/but.mif.2023.3.65.2.12

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About this paper

Journal

Bulletin of the Transilvania University of Brasov

Publisher Name

Transilvania University Press

Print ISSN

2810-2029

Online ISSN

2971-9763

google scholar link

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2023

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