Published: 1999-09-30

On iterative equivalence of some classes of mappings

Jacek Jachymski

Abstract

We introduce the notion of iterative equivalence of two classes of mappings on metric spaces and we demonstrate its utility in metric fixed-point theory. In particular, we show that the fixed-point theorem for Matkowski's contractions can be derived from the corresponding theorem for Browder's contractions, though the first class of mappings is essentially wider than the second one.

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Citation rules

Jachymski, J. (1999). On iterative equivalence of some classes of mappings. Annales Mathematicae Silesianae, 13, 149–165. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/14145

Domyślna okładka

Vol. 13 (1999)
Published: 1999-09-30


ISSN: 0860-2107
eISSN: 2391-4238
Ikona DOI 10.1515/amsil

Publisher
University of Silesia Press

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