On coincidence points of two multi-valued mappings in spaces with vector-valued metrics
Vestnik rossijskih universitetov. Matematika, Tome 22 (2017) no. 6, pp. 1309-1313 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

Spaces with vector-valued metrics are considered. The values of a vector-valued metric are elements of a cone in some linear normed space. The concept of covering (metric regularity) for multi-valued mappings in spaces with vector-valued metrics is formulated. A statement about coincidence points of a metrically regular and a Lipschitz multi-valued mappings in spaces with vector-valued metrics is obtained.
Keywords: coincidence points of mappings, multi-valued mappings, covering mappings, metrically regular mappings, spaces with vector-valued metrics.
@article{VTAMU_2017_22_6_a12,
     author = {E. A. Pluzhnikova and Yu. A. Moiseev and A. A. Repin},
     title = {On coincidence points of two multi-valued mappings in spaces with vector-valued metrics},
     journal = {Vestnik rossijskih universitetov. Matematika},
     pages = {1309--1313},
     year = {2017},
     volume = {22},
     number = {6},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTAMU_2017_22_6_a12/}
}
TY  - JOUR
AU  - E. A. Pluzhnikova
AU  - Yu. A. Moiseev
AU  - A. A. Repin
TI  - On coincidence points of two multi-valued mappings in spaces with vector-valued metrics
JO  - Vestnik rossijskih universitetov. Matematika
PY  - 2017
SP  - 1309
EP  - 1313
VL  - 22
IS  - 6
UR  - http://geodesic.mathdoc.fr/item/VTAMU_2017_22_6_a12/
LA  - ru
ID  - VTAMU_2017_22_6_a12
ER  - 
%0 Journal Article
%A E. A. Pluzhnikova
%A Yu. A. Moiseev
%A A. A. Repin
%T On coincidence points of two multi-valued mappings in spaces with vector-valued metrics
%J Vestnik rossijskih universitetov. Matematika
%D 2017
%P 1309-1313
%V 22
%N 6
%U http://geodesic.mathdoc.fr/item/VTAMU_2017_22_6_a12/
%G ru
%F VTAMU_2017_22_6_a12
E. A. Pluzhnikova; Yu. A. Moiseev; A. A. Repin. On coincidence points of two multi-valued mappings in spaces with vector-valued metrics. Vestnik rossijskih universitetov. Matematika, Tome 22 (2017) no. 6, pp. 1309-1313. http://geodesic.mathdoc.fr/item/VTAMU_2017_22_6_a12/

[1] E. S. Zhukovskiy, E. A. Pluzhnikova, “Multi-valued covering maps spaces with vector-valued metrics in research of functional inclusions”, Tambov University Reports. Series: Natural and Technical Sciences, 21:6 (2016), 1974–1982 (In Russian)

[2] E. S. Zhukovskiy, “On Coincidence Points for Vector Mappings”, Russian Mathematics, 60:10 (2016), 10–22 | DOI | MR | Zbl

[3] E. S. Zhukovskiy, “On coincidence points of multivalued vector mappings of metric spaces”, Mathematical Notes, 100:3–4 (2016), 363–379 | DOI | MR | Zbl

[4] A. V. Arutyunov, S. E. Zhukovskiy, E. S. Zhukovskiy, “Coincidence points principle for set-valued mappings in partially ordered spaces”, Topology and its Applications, 201 (2016), 330–343 | DOI | MR | Zbl

[5] A. V. Arutyunov, “Coincidence points of two maps”, Functional Analysis and Its Applications, 48:1 (2014), 72–75 | DOI | MR | Zbl

[6] A. V. Arutyunov, “The coincidence point problem for set-valued mappings and Ulam-Hyers stability”, Doklady Mathematics, 89:2, 188–191 | DOI | MR | Zbl