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Fixed-Point Theorems and Difference Equations with Nonempty Set of Bounded Solutions

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We present new fixed-point theorems for mappings acting on a metric space and establish conditions for the existence of bounded solutions of difference equations.

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Authors and Affiliations

  1. National University of Water Management and Utilization of Natural Resources, Soborna Str., 11, Rivne, 33000, Ukraine

    V. Yu. Slyusarchuk

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  1. V. Yu. Slyusarchuk
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Correspondence to V. Yu. Slyusarchuk.

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Translated from Neliniini Kolyvannya, Vol. 20, No. 4, pp. 537–548, October–December, 2017.

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Slyusarchuk, V.Y. Fixed-Point Theorems and Difference Equations with Nonempty Set of Bounded Solutions. J Math Sci 238, 302–315 (2019). https://doi.org/10.1007/s10958-019-04237-6

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  • DOI: https://doi.org/10.1007/s10958-019-04237-6

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