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