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Izv. RAN. Ser. Mat., 2019, Volume 83, Issue 1, Pages 168–191 (Mi izv8768)  

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

Full text: PDF file (710 kB)
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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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  • https://doi.org/10.4213/im8768
  • http://mi.mathnet.ru/eng/izv/v83/i1/p168

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    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:
    1. 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  mathnet  crossref  isi
  • Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya Izvestiya: Mathematics
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