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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
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
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
Linking options:
https://www.mathnet.ru/eng/im8768https://doi.org/10.1070/IM8768 https://www.mathnet.ru/eng/im/v83/i1/p168
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Abstract page: | 497 | Russian version PDF: | 87 | English version PDF: | 42 | References: | 70 | First page: | 29 |
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