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Fixed points of mappings on ordered sets

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Abstract

In this paper sufficient conditions are presented for the least element existence in the common fixed point set of a family of multivalued mappings on ordered sets. The problem of the iterative search for common fixed point of a family of multivalued mappings on ordered sets is considered as well. In addition, we suggest conditions to guarantee invariance of the fixed point property of mappings under an order-homotopy.

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Authors and Affiliations

  1. Moscow State University, Moscow, 119992, Russia

    D. A. Podoprikhin

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  1. D. A. Podoprikhin
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Correspondence to D. A. Podoprikhin.

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Podoprikhin, D.A. Fixed points of mappings on ordered sets. Lobachevskii J Math 38, 1069–1074 (2017). https://doi.org/10.1134/S1995080217060105

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  • DOI: https://doi.org/10.1134/S1995080217060105

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