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Theorems on Inclusion for Multivalued Mappings

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Ukrainian Mathematical Journal Aims and scope

The paper is devoted to the investigation of some properties of multivalued mappings in Euclidean spaces. Fixed-point theorems are proved for multivalued mappings whose restrictions to a certain subset in the closure of a domain satisfy a “coacute angle condition” or a “strict coacute angle condition.” Similar results for the restrictions of multivalued mappings satisfying certain metric conditions are also obtained.

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References

  1. Yu. B. Zelinskii, B. A. Klishchuk, and M. V. Tkachuk, “Fixed-point theorems for multivalued mappings,” in: Proc. of the Institute of Mathematics, Ukrainian National Academy of Sciences, 9, No. 2 (2012), pp. 175–179.

  2. M. A. Krasnosel’skii, Topological Methods in the Theory of Nonlinear Integral Equations [in Russian], Gostekhizdat, Moscow (1956).

    Google Scholar 

  3. K. N. Soltanov, “Nonlinear mappings and solvability of nonlinear equations,” Dokl. Akad. Nauk SSSR, 289, No. 6, 1318–1323 (1986).

    MathSciNet  Google Scholar 

  4. K. N. Soltanov, “Remarks on separation of convex sets, fixed-point theorem, and applications in theory of linear operators,” Fixed-Point Theory Appl. (2007).

  5. K. N. Soltanov, “On semicontinuous mappings, equations, and inclusions in the Banach space,” Hacettepe J. Math. Statist., 37, 9–24 (2008).

    MathSciNet  MATH  Google Scholar 

  6. M. A. Muratov, V. L. Ostrovskii, and Yu. S. Samoilenko, Finite-Dimensional Linear Analysis. I. Linear Operators in Finite-Dimensional Vector Spaces (L) [in Russian], Tsentr Uchebn. Liter., Kiev (2011).

    Google Scholar 

  7. R. T. Rockafellar, Convex Analysis, Princeton Univ. Press, Princeton (1970).

    MATH  Google Scholar 

  8. Yu. B. Zelinskii, Multivalued Mappings in Analysis [in Russian], Naukova Dumka, Kiev (1993).

    Google Scholar 

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian National Academy of Sciences, Kyiv, Ukraine

    Yu. B. Zelinskii, B. A. Klishchuk & M. V. Tkachuk

Authors
  1. Yu. B. Zelinskii
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  2. B. A. Klishchuk
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  3. M. V. Tkachuk
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Additional information

Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 66, No. 7, pp. 1003–1005, July, 2014.

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Zelinskii, Y.B., Klishchuk, B.A. & Tkachuk, M.V. Theorems on Inclusion for Multivalued Mappings. Ukr Math J 66, 1122–1125 (2014). https://doi.org/10.1007/s11253-014-0998-4

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  • DOI: https://doi.org/10.1007/s11253-014-0998-4

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