Email this article On coincidence points of multivalued vector mappings of metric spaces
- Authors: Zhukovskiy E.S.1,2
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Affiliations:
- Derzhavin Tambov State University
- Peoples’ Friendship University of Russia
- Issue: Vol 100, No 3-4 (2016)
- Pages: 363-379
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/149692
- DOI: https://doi.org/10.1134/S0001434616090030
- ID: 149692
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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.
About the authors
E. S. Zhukovskiy
Derzhavin Tambov State University; Peoples’ Friendship University of Russia
Author for correspondence.
Email: zukovskys@mail.ru
Russian Federation, Tambov; Moscow
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