Abstract
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.
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Original Russian Text © E. S. Zhukovskiy, 2016, published in Matematicheskie Zametki, 2016, Vol. 100, No. 3, pp. 344–362.
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Zhukovskiy, E.S. On coincidence points of multivalued vector mappings of metric spaces. Math Notes 100, 363–379 (2016). https://doi.org/10.1134/S0001434616090030
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DOI: https://doi.org/10.1134/S0001434616090030