Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2016, Number 5, Pages 56–59 (Mi vmumm183)  
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Common fixed points of a family of commuting mappings of partially ordered sets

D. A. Podoprikhin

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: The paper presents conditions providing the existence of a common fixed point of a family of commuting isotone multivalued mappings of a partially ordered set and the existence of the minimal element in the set of common fixed points. Additional conditions that guarantee the existence of the least element in that point set are also presented. Relations of the obtained results to well-known fixed point theorems are considered.
Key words: common fixed points, partially ordered set, isotone mapping, commuting family, multivalued mapping.
Received: 04.04.2016
English version:
Moscow University Mathematics Bulletin, 2016, Volume 71, Issue 5, Pages 216–218
DOI: https://doi.org/10.3103/S0027132216050090
Bibliographic databases:
Document Type: Article
UDC: 515.562, 515.126.4, 515.126.83
Language: Russian
Citation: D. A. Podoprikhin, “Common fixed points of a family of commuting mappings of partially ordered sets”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2016, no. 5, 56–59; Moscow University Mathematics Bulletin, 71:5 (2016), 216–218
Citation in format AMSBIB
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