(q-1,q-2)-quasimetric spaces. Covering mappings and coincidence points

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(q-1,q-2)-quasimetric spaces. Covering mappings and coincidence points. / Arutyunov, A. V.; Greshnov, A. V.

In: Izvestiya Mathematics, Vol. 82, No. 2, 01.01.2018, p. 245-272.

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

Harvard

Arutyunov, AV & Greshnov, AV 2018, '(q-1,q-2)-quasimetric spaces. Covering mappings and coincidence points', Izvestiya Mathematics, vol. 82, no. 2, pp. 245-272. https://doi.org/10.1070/IM8546

APA

Arutyunov, A. V., & Greshnov, A. V. (2018). (q-1,q-2)-quasimetric spaces. Covering mappings and coincidence points. Izvestiya Mathematics, 82(2), 245-272. https://doi.org/10.1070/IM8546

Vancouver

Arutyunov AV, Greshnov AV. (q-1,q-2)-quasimetric spaces. Covering mappings and coincidence points. Izvestiya Mathematics. 2018 Jan 1;82(2):245-272. doi: 10.1070/IM8546

Author

Arutyunov, A. V. ; Greshnov, A. V. / (q-1,q-2)-quasimetric spaces. Covering mappings and coincidence points. In: Izvestiya Mathematics. 2018 ; Vol. 82, No. 2. pp. 245-272.

BibTeX

@article{039ef74f27474d219194120aac8e09ce,

title = "(q-1,q-2)-quasimetric spaces. Covering mappings and coincidence points",

abstract = "We introduce (q1, q2)-quasimetric spaces and investigate their properties.We study covering mappings from one (q1, q2)-quasimetric space to another and obtain sufficient conditions for the existence of coincidence points of two mappings between such spaces provided that one of them is covering and the other satisfies the Lipschitz condition. These results are extended to multi-valued mappings. We prove that the coincidence points are stable under small perturbations of the mappings.",

keywords = "(q1 q2)-quasimetric, coincidence points, covering Mappings, generalized triangle inequality, multi-valued mappings",

author = "Arutyunov, {A. V.} and Greshnov, {A. V.}",

note = "Publisher Copyright: {\textcopyright} 2018 Russian Academy of Sciences (DoM), London Mathematical Society, Turpion Ltd.",

year = "2018",

month = jan,

day = "1",

doi = "10.1070/IM8546",

language = "English",

volume = "82",

pages = "245--272",

journal = "Izvestiya Mathematics",

issn = "1064-5632",

publisher = "IOP Publishing Ltd.",

number = "2",

}

RIS

TY - JOUR

T1 - (q-1,q-2)-quasimetric spaces. Covering mappings and coincidence points

AU - Arutyunov, A. V.

AU - Greshnov, A. V.

PY - 2018/1/1

Y1 - 2018/1/1

N2 - We introduce (q1, q2)-quasimetric spaces and investigate their properties.We study covering mappings from one (q1, q2)-quasimetric space to another and obtain sufficient conditions for the existence of coincidence points of two mappings between such spaces provided that one of them is covering and the other satisfies the Lipschitz condition. These results are extended to multi-valued mappings. We prove that the coincidence points are stable under small perturbations of the mappings.

AB - We introduce (q1, q2)-quasimetric spaces and investigate their properties.We study covering mappings from one (q1, q2)-quasimetric space to another and obtain sufficient conditions for the existence of coincidence points of two mappings between such spaces provided that one of them is covering and the other satisfies the Lipschitz condition. These results are extended to multi-valued mappings. We prove that the coincidence points are stable under small perturbations of the mappings.

KW - (q1 q2)-quasimetric

KW - coincidence points

KW - covering Mappings

KW - generalized triangle inequality

KW - multi-valued mappings

UR - http://www.scopus.com/inward/record.url?scp=85046625429&partnerID=8YFLogxK

U2 - 10.1070/IM8546

DO - 10.1070/IM8546

M3 - Article

AN - SCOPUS:85046625429

VL - 82

SP - 245

EP - 272

JO - Izvestiya Mathematics

JF - Izvestiya Mathematics

SN - 1064-5632

IS - 2

ER -

ID: 13331927