Abstract
New results on fixed points and coincidences of families of set-valued mappings of partially ordered sets obtained without commutativity assumptions are presented. These results develop theorems on fixed points of an isotone self-mapping of an ordered set (for families of set-valued mappings) and theorems about coincidences of two set-valued mappings one of which is isotone and the other is covering (for finite families of set-valued mappings).
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Original Russian Text © D.A. Podoprikhin, T.N. Fomenko, 2016, published in Doklady Akademii Nauk, 2016, Vol. 471, No. 1, pp. 16–18.
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Podoprikhin, D.A., Fomenko, T.N. On coincidences of families of mappings on ordered sets. Dokl. Math. 94, 620–622 (2016). https://doi.org/10.1134/S106456241606003X
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DOI: https://doi.org/10.1134/S106456241606003X