On attractors of iterated function systems in uniform spaces

Mary Samuel; Andrey V. Tetenov

doi:10.17377/semi.2017.14.015

On attractors of iterated function systems in uniform spaces

Mary Samuel, Andrey V. Tetenov

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

We prove Hutchinson's theorem for uniform spaces, that a finite system S of B-contractions in complete, well-chained, Hausdorff uniform space defines unique compact attractor.

Original language	English
Pages (from-to)	151-155
Number of pages	5
Journal	Сибирские электронные математические известия
Volume	14
DOIs	https://doi.org/10.17377/semi.2017.14.015
Publication status	Published - 1 Jan 2017

Keywords

Asymptotical regularity
B-contraction
Self-similar set
Uniform space

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On attractors of iterated function systems in uniform spaces

Abstract

Keywords

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