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Fixed points and coincidences of mappings of partially ordered sets

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Abstract

Possibility of the reduction of a coincidence problem to a fixed point problem is investigated for one-valued and multivalued mappings of partially ordered sets. New fixed point theorems are proved. Connections of the obtained results with well-known fixed point theorems and some recent results on coincidences of two mappings are considered.

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Authors and Affiliations

  1. Department of Computational Mathematics and Cybernetics, Lomonosov Moscow State University, Leninskie Gory, 1, Moscow, 119991, Russia

    T. N. Fomenko

  2. Department of Mathematics and Mechanics, Lomonosov Moscow State University, Leninskie Gory, 1, Moscow, 119991, Russia

    D. A. Podoprikhin

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  1. T. N. Fomenko
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  2. D. A. Podoprikhin
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Correspondence to T. N. Fomenko.

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Fomenko, T.N., Podoprikhin, D.A. Fixed points and coincidences of mappings of partially ordered sets. J. Fixed Point Theory Appl. 18, 823–842 (2016). https://doi.org/10.1007/s11784-016-0327-7

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  • DOI: https://doi.org/10.1007/s11784-016-0327-7

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