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Coincidence points of multivalued mappings in (q 1, q 2)-quasimetric spaces. / Arutyunov, A. V.; Greshnov, A. V.

In: Doklady Mathematics, Vol. 96, No. 2, 01.09.2017, p. 438-441.

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Arutyunov AV, Greshnov AV. Coincidence points of multivalued mappings in (q 1, q 2)-quasimetric spaces. Doklady Mathematics. 2017 Sept 1;96(2):438-441. doi: 10.1134/S1064562417050064

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Arutyunov, A. V. ; Greshnov, A. V. / Coincidence points of multivalued mappings in (q 1, q 2)-quasimetric spaces. In: Doklady Mathematics. 2017 ; Vol. 96, No. 2. pp. 438-441.

BibTeX

@article{4a133e7969f8463a8e1a0f389b2bfb19,
title = "Coincidence points of multivalued mappings in (q 1, q 2)-quasimetric spaces",
abstract = "The properties of (q1, q2)-quasimetric spaces are examined. Multivalued covering mappings between (q1, q2)-quasimetric spaces are investigated. Given two multivalued mappings between (q1, q2)-quasimetric spaces such that one of them is covering and the other satisfies the Lipschitz condition, sufficient conditions for these mappings to have a coincidence point are obtained. A theorem on the stability of coincidence points with respect to small perturbations in the considered mappings is proved.",
author = "Arutyunov, {A. V.} and Greshnov, {A. V.}",
note = "Publisher Copyright: {\textcopyright} 2017, Pleiades Publishing, Ltd.",
year = "2017",
month = sep,
day = "1",
doi = "10.1134/S1064562417050064",
language = "English",
volume = "96",
pages = "438--441",
journal = "Doklady Mathematics",
issn = "1064-5624",
publisher = "Maik Nauka-Interperiodica Publishing",
number = "2",

}

RIS

TY - JOUR

T1 - Coincidence points of multivalued mappings in (q 1, q 2)-quasimetric spaces

AU - Arutyunov, A. V.

AU - Greshnov, A. V.

N1 - Publisher Copyright: © 2017, Pleiades Publishing, Ltd.

PY - 2017/9/1

Y1 - 2017/9/1

N2 - The properties of (q1, q2)-quasimetric spaces are examined. Multivalued covering mappings between (q1, q2)-quasimetric spaces are investigated. Given two multivalued mappings between (q1, q2)-quasimetric spaces such that one of them is covering and the other satisfies the Lipschitz condition, sufficient conditions for these mappings to have a coincidence point are obtained. A theorem on the stability of coincidence points with respect to small perturbations in the considered mappings is proved.

AB - The properties of (q1, q2)-quasimetric spaces are examined. Multivalued covering mappings between (q1, q2)-quasimetric spaces are investigated. Given two multivalued mappings between (q1, q2)-quasimetric spaces such that one of them is covering and the other satisfies the Lipschitz condition, sufficient conditions for these mappings to have a coincidence point are obtained. A theorem on the stability of coincidence points with respect to small perturbations in the considered mappings is proved.

UR - http://www.scopus.com/inward/record.url?scp=85034953671&partnerID=8YFLogxK

U2 - 10.1134/S1064562417050064

DO - 10.1134/S1064562417050064

M3 - Article

AN - SCOPUS:85034953671

VL - 96

SP - 438

EP - 441

JO - Doklady Mathematics

JF - Doklady Mathematics

SN - 1064-5624

IS - 2

ER -

ID: 9049725