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Generalized fractals in semimetric spaces

Bessenyei, Mihály and Pénzes, Evelin (2022) Generalized fractals in semimetric spaces. Nonlinear Analysis: Theory, Methods and Applications, 220. pp. 1-15. ISSN 0362-546X

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Abstract

The aim of the present paper is to extend the classical fractal theory using condensing maps and generalized contractions of semimetric spaces. Our method is independent from the approach of Hutchinson: It is based on the Kuratowski measure of noncompactness and avoids completely the Blaschke Completeness Theorem.

Item Type: Article
Subjects: Q Science / természettudomány > QA Mathematics / matematika
Depositing User: dr Mihály Bessenyei
Date Deposited: 16 Sep 2022 13:33
Last Modified: 03 Apr 2023 08:00
URI: http://real.mtak.hu/id/eprint/148853

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