Geodesic
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

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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},
     publisher = {mathdoc},
     volume = {22},
     number = {6},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTAMU_2017_22_6_a12/}
}
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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/