Fixed points and coincidences of families of mappings between
Izvestiya. Mathematics , Tome 83 (2019) no. 1, pp. 151-172

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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.
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T. N. Fomenko. Fixed points and coincidences of families of mappings between. Izvestiya. Mathematics , Tome 83 (2019) no. 1, pp. 151-172. http://geodesic.mathdoc.fr/item/IM2_2019_83_1_a6/