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On some problems from the theory of fixed points of multivalued mappings

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Book cover Global Analysis - Studies and Applications IV

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1453))

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References

  1. Kakytani S., A generalization of Brouwer's fixed point theorem, Duke Math. J., 1941, 8, p. 457–459.

    Article  MathSciNet  Google Scholar 

  2. Eilenberg S., Montgomery D. Fixed point theorems for multivalued transformations, Amer. J. Math., 1946, 68, p. 214–222.

    Article  MathSciNet  MATH  Google Scholar 

  3. Gel'man B.D. The topological characteristic of multivalued mappings and fixed point theorems. Doklady AN SSSR, 1975, 221 (3), p. 524–527 (in Russian; see English translation in Soviet Math. Doklady, 1975, vol.16, No 2).

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  4. Gel'man B.D. Topological characteristic of multivalued mappings in Banach space. Trudy Mt. Fak. Voronezh Univ., 1975, 16, p. 17–23 (in Russian).

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  5. Borisovich Yu.G., Gel'man B.D., Myshkis A.D., Obukhovskii V.V. Topological methods in the theory of fixed points of set-valued mappings. Uspekhi Mat. Nauk, 1980, 35 (1), p. 59–126 (in Russian; see English translation in Russian Math. Surveys).

    MathSciNet  Google Scholar 

  6. Borisovich Yu.G., Gel'man B.D., Myshkis A.D., Obukhovskii V.V. Multivalued analysis and operator imbeddings. Itogi Nauki i Tekhniki, VINITI, Sovr. Probl. Mat., 1986, 29, p. 151–211 (in Russian).

    MathSciNet  Google Scholar 

  7. Benkafadar N., Gel'man B.D. On homotopical properties of subset spaces. In: Topological and geometrical methods in mathematical physics, Voronezh, 1983, p. 111–115 (in Russian).

    Google Scholar 

  8. Spanier E.H. Algebraic topology. McGraw-Hill, New York, 1966.

    MATH  Google Scholar 

  9. Sklyarenko V.G. On some applications of the bundle theory in general topology, Uspekhi Mat. Nauk, 1964, 19 (6), p. 47–70 (in Russian).

    MathSciNet  MATH  Google Scholar 

  10. Myshkis A.D. Generalizations of the fixed point theorem of a dynamic system in closed trajectory. Mat. Sb., 1954, 34 (3), p. 525–540 (in Russian).

    MathSciNet  MATH  Google Scholar 

  11. Borisovich Yu.G., Gliklikh Yu.E. On Lefschetz number for one class of multivalued mappings. In: 7th summer math. school, Kiev, 1970, p. 283–294 (in Russian).

    Google Scholar 

  12. Gel'man B.D. A generalization of the Kakutani's fixed point theorem to many-valued mappings. Doklady Akad. Nauk SSSR, 1973, 209 (1), 22–24 (in Russian; see English translation in Soviet Math. Doklady, 1973, vol. 14, No 2).

    MathSciNet  MATH  Google Scholar 

  13. Godement R. Topologie algébrique et theorie des faisceaux. Hermann, Paris, 1958.

    MATH  Google Scholar 

  14. Gel'man B.D. On certain classes of selections of many-valued mappings. In: Applications of topology to contemporary analysis, Voronezh, 1985, p. 42–62 (in Russian; see English translation in Lect. Notes Math., 1986, vol. 1214).

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Voronezh State University, 394693, Voronezh, USSR

    B. D. Gel'man

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  1. B. D. Gel'man
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Yurii G. Borisovich Yurii E. Gliklikh A. M. Vershik

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© 1990 Springer-Verlag

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Gel'man, B.D. (1990). On some problems from the theory of fixed points of multivalued mappings. In: Borisovich, Y.G., Gliklikh, Y.E., Vershik, A.M. (eds) Global Analysis - Studies and Applications IV. Lecture Notes in Mathematics, vol 1453. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0085958

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  • DOI: https://doi.org/10.1007/BFb0085958

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  • Print ISBN: 978-3-540-53407-5

  • Online ISBN: 978-3-540-46861-5

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