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On attractors of iterated function systems in uniform spaces. / Samuel, Mary; Tetenov, Andrey V.

In: Сибирские электронные математические известия, Vol. 14, 01.01.2017, p. 151-155.

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

Harvard

Samuel, M & Tetenov, AV 2017, 'On attractors of iterated function systems in uniform spaces', Сибирские электронные математические известия, vol. 14, pp. 151-155. https://doi.org/10.17377/semi.2017.14.015

APA

Samuel, M., & Tetenov, A. V. (2017). On attractors of iterated function systems in uniform spaces. Сибирские электронные математические известия, 14, 151-155. https://doi.org/10.17377/semi.2017.14.015

Vancouver

Samuel M, Tetenov AV. On attractors of iterated function systems in uniform spaces. Сибирские электронные математические известия. 2017 Jan 1;14:151-155. doi: 10.17377/semi.2017.14.015

Author

Samuel, Mary ; Tetenov, Andrey V. / On attractors of iterated function systems in uniform spaces. In: Сибирские электронные математические известия. 2017 ; Vol. 14. pp. 151-155.

BibTeX

@article{ce39f4e33ec14f908a6c7e31ed032b67,
title = "On attractors of iterated function systems in uniform spaces",
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.",
keywords = "Asymptotical regularity, B-contraction, Self-similar set, Uniform space",
author = "Mary Samuel and Tetenov, {Andrey V.}",
year = "2017",
month = jan,
day = "1",
doi = "10.17377/semi.2017.14.015",
language = "English",
volume = "14",
pages = "151--155",
journal = "Сибирские электронные математические известия",
issn = "1813-3304",
publisher = "Sobolev Institute of Mathematics",

}

RIS

TY - JOUR

T1 - On attractors of iterated function systems in uniform spaces

AU - Samuel, Mary

AU - Tetenov, Andrey V.

PY - 2017/1/1

Y1 - 2017/1/1

N2 - 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.

AB - 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.

KW - Asymptotical regularity

KW - B-contraction

KW - Self-similar set

KW - Uniform space

UR - http://www.scopus.com/inward/record.url?scp=85074567459&partnerID=8YFLogxK

U2 - 10.17377/semi.2017.14.015

DO - 10.17377/semi.2017.14.015

M3 - Article

AN - SCOPUS:85074567459

VL - 14

SP - 151

EP - 155

JO - Сибирские электронные математические известия

JF - Сибирские электронные математические известия

SN - 1813-3304

ER -

ID: 22473684