Geodesic
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. 
@article{MZM_2016_100_3_a2,
     author = {E. S. Zhukovskii},
     title = {On {Coincidence} {Points} of {Multivalued} {Vector} {Mappings} of {Metric} {Spaces}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {344--362},
     publisher = {mathdoc},
     volume = {100},
     number = {3},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2016_100_3_a2/}
}
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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/