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Gel'man Boris Danilovich

Publications in Math-Net.Ru

  1. On topological properties of the set of solutions of operator inclusions with a multi-valued Lipschitz right-hand side

    Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 5,  11–15
  2. Karisti inequality and $\alpha$-contractive mappings

    Funktsional. Anal. i Prilozhen., 53:3 (2019),  84–88
  3. On the Borsuk–Ulam theorem for Lipschitz mappings in an infinite-dimensional space

    Funktsional. Anal. i Prilozhen., 53:1 (2019),  79–83
  4. Periodic Trajectories and Coincidence Points of Tuples of Set-Valued Maps

    Funktsional. Anal. i Prilozhen., 52:2 (2018),  72–77
  5. The inequality of Karisti and generalized compression (the case of singular images)

    Tambov University Reports. Series: Natural and Technical Sciences, 23:122 (2018),  243–249
  6. A Hybrid Fixed-Point Theorem for Set-Valued Maps

    Mat. Zametki, 101:6 (2017),  832–842
  7. How to Approach Nonstandard Boundary Value Problems

    Funktsional. Anal. i Prilozhen., 50:1 (2016),  38–46
  8. A version of the infinite-dimensional Borsuk-Ulam theorem for multivalued maps

    Mat. Sb., 207:6 (2016),  79–92
  9. The Solution Set of a Class of Equations with Surjective Operators

    Funktsional. Anal. i Prilozhen., 49:1 (2015),  74–78
  10. On fixed points of acyclic type multivalued maps

    Fundam. Prikl. Mat., 20:3 (2015),  47–59
  11. On the structure of the set of coincidence points

    Mat. Sb., 206:3 (2015),  35–56
  12. Covering Maps of Spaces of Compact Subsets

    Mat. Zametki, 93:4 (2013),  530–536
  13. On Local Solutions of Degenerate Differential Inclusions

    Funktsional. Anal. i Prilozhen., 46:1 (2012),  79–83
  14. On the acyclicity of the solution sets of operator equations

    Mat. Sb., 201:10 (2010),  47–58
  15. Minimum of a functional in a metric space and fixed points

    Zh. Vychisl. Mat. Mat. Fiz., 49:7 (2009),  1167–1174
  16. On the Cauchy Problem for a Class of Degenerate Differential Equations with Lipschitz Right-Hand Side

    Funktsional. Anal. i Prilozhen., 42:3 (2008),  78–81
  17. Continuous Approximations of Multivalued Mappings and Fixed Points

    Mat. Zametki, 78:2 (2005),  212–222
  18. An Infinite-Dimensional Version of the Borsuk–Ulam Theorem

    Funktsional. Anal. i Prilozhen., 38:4 (2004),  1–5
  19. Borsuk–Ulam theorem in infinite-dimensional Banach spaces

    Mat. Sb., 193:1 (2002),  83–92
  20. A Generalized Implicit Function Theorem

    Funktsional. Anal. i Prilozhen., 35:3 (2001),  28–35
  21. On a Class of Operator Equations

    Mat. Zametki, 70:4 (2001),  544–552
  22. Rest points of generalized dynamical systems

    Mat. Zametki, 65:1 (1999),  28–36
  23. On the local degree for a class of multivalued field

    Izv. Vyssh. Uchebn. Zaved. Mat., 1997, no. 2,  24–34
  24. Topological properties of the set of fixed points of a multivalued map

    Mat. Sb., 188:12 (1997),  33–56
  25. The antipode theorem and points of coincidence

    Uspekhi Mat. Nauk, 51:1(307) (1996),  147–148
  26. New results in the theory of multivalued mappings. II. Analysis and applications

    Itogi Nauki i Tekhn. Ser. Mat. Anal., 29 (1991),  107–159
  27. New results in the theory of multivalued mappings. I. Topological characteristics and solvability of operator relations

    Itogi Nauki i Tekhn. Ser. Mat. Anal., 25 (1987),  123–197
  28. Multivalued analysis and operator inclusions

    Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh., 29 (1986),  151–211
  29. Multivalued mappings

    Itogi Nauki i Tekhn. Ser. Mat. Anal., 19 (1982),  127–230
  30. Topological methods in the fixed-point theory of multi-valued maps

    Uspekhi Mat. Nauk, 35:1(211) (1980),  59–126
  31. The topological characteristic of multivalued mappings and fixed-point theorems

    Dokl. Akad. Nauk SSSR, 221:3 (1975),  524–527
  32. A generalization of Kakutani’s fixed-point theorem to many-valued mappings

    Dokl. Akad. Nauk SSSR, 209:1 (1973),  22–24
  33. The rotation of multivalued vector fields

    Dokl. Akad. Nauk SSSR, 187:5 (1969),  971–973

  34. Поправки к статье “О вращении многозначных векторных полей” (ДАН, 187, № 5, 1969 г.)

    Dokl. Akad. Nauk SSSR, 190:6 (1970),  750


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