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Matematicheskie Zametki, 2019, Volume 106, Issue 4, Pages 565–577
DOI: https://doi.org/10.4213/mzm12240 (Mi mzm12240) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Multivalued Homotopy on an Ordered Set, Fixed and Coincidence Points of Mappings, and Applications in Game Theory

D. A. Podoprikhin, T. N. Fomenko

Lomonosov Moscow State University
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DOI: https://doi.org/10.4213/mzm12240
Abstract: The article develops results of the authors' previous papers on the topic. The notion of the homotopy of a multivalued mapping of an ordered set is introduced. We study the problem as to whether the existence of a fixed point (or a coincidence point) is preserved under multivalued homotopies of a multivalued mapping (or a pair of multivalued mappings). An application of some of the authors' previous results on fixed points in game theory is considered.
Keywords: ordered set, multivalued homotopy, fixed point, coincidence point, pair of equilibrium strategies.
Received: 05.11.2018
Revised: 18.02.2019
English version:
Mathematical Notes, 2019, Volume 106, Issue 4, Pages 591–601
DOI: https://doi.org/10.1134/S000143461909027X
Bibliographic databases:
Document Type: Article
UDC: 512.562+515.126.4+519.813.3
Language: Russian
Citation: D. A. Podoprikhin, T. N. Fomenko, “Multivalued Homotopy on an Ordered Set, Fixed and Coincidence Points of Mappings, and Applications in Game Theory”, Mat. Zametki, 106:4 (2019), 565–577; Math. Notes, 106:4 (2019), 591–601
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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