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This article is cited in 1 scientific paper (total in 1 paper)
Fixed points and coincidences of families of mappings between
ordered sets and some metrical consequences
T. N. Fomenko Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
Abstract:
We present theorems on common fixed points and coincidences for families
of multi-valued mappings of ordered sets. This generalizes some recent results
of the author and Podoprikhin as well as the classical theorems of
Knaster–Tarski, Smithson and Zermelo. We also consider
connections with the Caristi fixed-point theorem and other metrical
results.
Keywords:
ordered set, multi-valued mapping, fixed point, coincidence point.
DOI:
https://doi.org/10.4213/im8768
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English version:
Izvestiya: Mathematics, 2019, 83:1, 151–172
Bibliographic databases:
UDC:
512.562+515.126.83+515.126.4
MSC: 54H25, 55M20, 54F05, 06A06 Received: 02.02.2018
Citation:
T. N. Fomenko, “Fixed points and coincidences of families of mappings between
ordered sets and some metrical consequences”, Izv. RAN. Ser. Mat., 83:1 (2019), 168–191; Izv. Math., 83:1 (2019), 151–172
Citation in format AMSBIB
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Linking options:
http://mi.mathnet.ru/eng/izv8768https://doi.org/10.4213/im8768 http://mi.mathnet.ru/eng/izv/v83/i1/p168
Citing articles on Google Scholar:
Russian citations,
English citations
Related articles on Google Scholar:
Russian articles,
English articles
This publication is cited in the following articles:
-
T. N. Fomenko, “Search for zeros of functionals, fixed points, and mappings coincidence in quasi-metric spaces”, Moscow University Mathematics Bulletin, 74:6 (2019), 227–234
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