On the iterates of uni-and multidimensional operators

Authors

  • Radu Precup Babes-Bolyai University, Cluj-Napoca, Romania

DOI:

https://doi.org/10.31926/but.mif.2023.3.65.2.12

Keywords:

Bernstein type operator, contraction principle, Perov theorem

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.

Author Biography

Radu Precup, Babes-Bolyai University, Cluj-Napoca, Romania

Faculty of Mathematics and Computer Science and Institute of
Advanced Studies in Science and Technology, 400084 Cluj-Napoca, Romania & Tiberiu Popoviciu
Institute of Numerical Analysis, Romanian Academy, P.O. Box 68-1, 400110

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Published

2023-12-18

Issue

Vol. 3(65) No. 2 (2023)

Section

MATHEMATICS