Fixed points and coincidences of mappings of partially ordered sets |
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| Authors: | T N Fomenko D A Podoprikhin |
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| Institution: | 1.Department of Computational Mathematics and Cybernetics,Lomonosov Moscow State University,Moscow,Russia;2.Department of Mathematics and Mechanics,Lomonosov Moscow State University,Moscow,Russia |
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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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