On Coincidence Points of Multivalued Vector Mappings of Metric Spaces
Matematičeskie zametki, Tome 100 (2016) no. 3, pp. 344-362

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The notion of metric regularity can be extended to multivalued mappings acting in the products of metric spaces. A vector analog of Arutyunov's coincidence-point theorem for two multivalued mappings is proved. Statements on the existence and estimates of solutions of systems of inclusions of special form occurring in the multiple fixed-point problem are obtained. In particular, these results imply some well-known double-point theorems.
Keywords: vector-metrically regular multivalued mapping, junction points, multiple fixed points.
E. S. Zhukovskii. On Coincidence Points of Multivalued Vector Mappings of Metric Spaces. Matematičeskie zametki, Tome 100 (2016) no. 3, pp. 344-362. http://geodesic.mathdoc.fr/item/MZM_2016_100_3_a2/
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