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Matematicheskie Zametki, 2016, Volume 100, Issue 3, Pages 344–362
DOI: https://doi.org/10.4213/mzm10675 (Mi mzm10675) 		 
This article is cited in 17 scientific papers (total in 17 papers)

On Coincidence Points of Multivalued Vector Mappings of Metric Spaces

E. S. Zhukovskiiab

a Tambov State University named after G.R. Derzhavin
b Peoples Friendship University of Russia, Moscow
Full-text PDF (590 kB) Citations (17)
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DOI: https://doi.org/10.4213/mzm10675
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.
Keywords: vector-metrically regular multivalued mapping, junction points, multiple fixed points.
Funding agency Grant number
Russian Science Foundation 15-11-10021
This work was supported by the Russian Science Foundation under grant 15-11-10021.
Received: 22.12.2014
Revised: 01.02.2016
English version:
Mathematical Notes, 2016, Volume 100, Issue 3, Pages 363–379
DOI: https://doi.org/10.1134/S0001434616090030
Bibliographic databases:
Document Type: Article
UDC: 517.988.6+517.922
Language: Russian
Citation: E. S. Zhukovskii, “On Coincidence Points of Multivalued Vector Mappings of Metric Spaces”, Mat. Zametki, 100:3 (2016), 344–362; Math. Notes, 100:3 (2016), 363–379
Citation in format AMSBIB
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    • This publication is cited in the following 17 articles:
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