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On Fixed Points of Acyclic Type Multivalued Maps

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Abstract

We present new fixed point theorems for acyclic type multivalued maps, including a nonlinear alternative for a map defined on an open set.

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Authors and Affiliations

  1. Voronezh State University, Voronezh, Russia

    B. D. Gel’man

  2. Voronezh State Pedagogical University, Voronezh, Russia

    V. V. Obukhovskii

Authors
  1. B. D. Gel’man
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  2. V. V. Obukhovskii
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Corresponding author

Correspondence to B. D. Gel’man.

Additional information

Dedicated to the jubilee of Academician Anatoliy Timofeevich Fomenko

Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 20, No. 3, pp. 47–59, 2015.

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Gel’man, B.D., Obukhovskii, V.V. On Fixed Points of Acyclic Type Multivalued Maps. J Math Sci 225, 565–574 (2017). https://doi.org/10.1007/s10958-017-3478-1

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  • DOI: https://doi.org/10.1007/s10958-017-3478-1

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