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Izvestiya: Mathematics, 2019, Volume 83, Issue 1, Pages 151–172
DOI: https://doi.org/10.1070/IM8768
(Mi im8768)
 

This article is cited in 3 scientific papers (total in 3 papers)

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
References:
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.
Received: 02.02.2018
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2019, Volume 83, Issue 1, Pages 168–191
DOI: https://doi.org/10.4213/im8768
Bibliographic databases:
Document Type: Article
UDC: 512.562+515.126.83+515.126.4
Language: English
Original paper language: Russian
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:
  • https://www.mathnet.ru/eng/im8768
  • https://doi.org/10.1070/IM8768
  • https://www.mathnet.ru/eng/im/v83/i1/p168
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:497
    Russian version PDF:87
    English version PDF:42
    References:70
    First page:29
     
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