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Gel’man, Boris Danielovich

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Author ID: gelman.boris-d Recent zbMATH articles by "Gel’man, Boris Danielovich"
Published as: Gel’man, B. D.; Gel’man, Boris D.; Gelman, B. D.; Gel’man, Boris; Gel’man, Boris Danielovich; Gel’man, Boris Danilovich; Gelman, Boris
External Links: MGP · Math-Net.Ru
Documents Indexed: 87 Publications since 1969, including 4 Books
Reviewing Activity: 4 Reviews
Biographic References: 1 Publication
Co-Authors: 31 Co-Authors with 49 Joint Publications
531 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

30 Publications have been cited 214 times in 177 Documents Cited by Year
Locally covering maps in metric spaces and coincidence points. Zbl 1182.54050
Arutyunov, Aram; Avakov, Evgeniy; Gel’man, Boris; Dmitruk, Andrei; Obukhovskii, Valeri
44
2009
Multivalued mappings. Zbl 0529.54013
Borisovich, Yu. G.; Gel’man, B. D.; Myshkis, A. D.; Obukhovskij, V. V.
31
1984
Introduction to the theory of multi-valued mappings and differential inclusions. With a preface by Gel’man and Obukhovskiĭ. 2nd revised and enlarged ed. (Введение в теорию многозначных отображений и дифференциальных включений.) Zbl 1231.54001
Borisovich, Yu. G.; Gel’man, B. D.; Myshkis, A. D.; Obukhovskiĭ, V. V.
27
2011
Introduction to the theory of multivalued maps and differential inclusions. (Введение в теорию многозначных отображений и дифференциальных включений.) Zbl 1126.34001
Borisovich, Yu. G.; Gel’man, B. D.; Myshkis, A. D.; Obukhovskiĭ, V. V.
21
2005
Topological methods in the fixed-point theory of multi-valued maps. Zbl 0464.55003
Borisovich, Yu. G.; Gel’man, B. D.; Myshkis, A. D.; Obukhovskij, V. V.
20
1980
Multivalued analysis and operator inclusions. Zbl 0725.54015
Borisovich, Yu. G.; Gel’man, B. D.; Myshkis, A. D.; Obukhovskij, V. V.
9
1987
The solution set of BVP for some functional differential inclusions. Zbl 0931.34046
Augustynowicz, A.; Dzedzej, Z.; Gelman, B. D.
9
1998
A generalized implicit function theorem. Zbl 0997.49021
Gel’man, B. D.
7
2001
On the structure of the set of coincidence points. Zbl 1322.54026
Arutyunov, A. V.; Gel’man, B. D.
6
2015
Topological properties of the set of fixed points of a multivalued map. Zbl 0903.54034
Gel’man, B. D.
6
1997
Multivalued maps and differential inclusions. Elements of theory and applications. Zbl 1454.49001
Obukhovskii, Valeri; Gel’man, Boris
6
2020
Introduction to the theory of multi-valued mappings. (Vvedenie v teoriyu mnogoznachnykh otobrazhenij.) Zbl 0683.54001
Borisovich, Yu. G.; Gel’man, B. D.; Myshkis, A. D.; Obukhovskij, V. V.
3
1986
Caristi-like condition. Existence of solutions to equations and minima of functions in metric spaces. Zbl 1454.54027
Arutyunov, A. V.; Gel’man, B. D.; Zhukovskiy, E. S.; Zhukovskiy, S. E.
3
2019
An infinite-dimensional version of the Borsuk-Ulam theorem. Zbl 1069.47012
Gel’man, B. D.
2
2004
Borsuk-Ulam theorem in infinite-dimensional Banach spaces. Zbl 1026.47038
Gel’man, B. D.
2
2002
On the topological dimension of the solutions sets for some classes of operator and differential inclusions. Zbl 1041.47031
Bader, Ralf; Gel’man, Boris D.; Kamenskii, Mikhail; Obukhovskii, Valeri
2
2002
Continuous approximations of multivalued mappings and fixed points. Zbl 1079.47057
Gel’man, B. D.
2
2005
Dimension of the solution set for differential inclusions. Zbl 0783.34008
Dzedzej, Z.; Gelman, B. D.
2
1993
On condensing perturbations of closed linear surjective operators. Zbl 1296.47057
Gel’man, B. D.; Kalabukhova, S. N.
1
2012
New results in the theory of multivalued mappings. I: Topological characteristics and solvability of operator relations. Zbl 0711.55002
Borisovich, Yu. G.; Gel’man, B. D.; Myshkis, A. D.; Obukhovskij, V. V.
1
1990
Bourgin–Yang-type theorem for \(a\)-compact perturbations of closed operators. I: The case of index theories with dimension property. Zbl 1130.47037
Antonyan, Sergey A.; Balanov, Zalman I.; Gel’man, Boris D.
1
2006
On homotopic properties of spaces of subsets. Zbl 0593.55001
Benkafadar, N.; Gel’man, B. D.
1
1983
On approximations of multivalued maps. Zbl 06481521
Gel’man, B. D.; Al-Hahemi, H. R.
1
2003
Set-valued maps. Zbl 0514.54009
Borisovich, Yu. G.; Gel’man, B. D.; Myshkis, A. D.; Obukhovskij, V. V.
1
1982
On a class of operator equations. Zbl 1035.47045
Gel’man, B. D.
1
2001
The two-point boundary value problem in geometrical mechanics with discontinuous forces. Zbl 0477.70016
Gel’man, B. D.; Gliklikh, Yu. E.
1
1980
On a class of multivalued maps. Zbl 1165.54304
Bader, R.; Gel’man, B. D.; Obukhovskij, V. V.
1
2002
Periodic trajectories and coincidence points of tuples of set-valued maps. Zbl 06951621
Gel’man, B. D.
1
2018
Minimum of a functional in a metric space and fixed points. Zbl 1224.58024
Arutyunov, A. V.; Gel’man, B. D.
1
2009
Generalized degree of multi-valued mappings. Zbl 0784.54021
Gel’man, B. D.
1
1991
Multivalued maps and differential inclusions. Elements of theory and applications. Zbl 1454.49001
Obukhovskii, Valeri; Gel’man, Boris
6
2020
Caristi-like condition. Existence of solutions to equations and minima of functions in metric spaces. Zbl 1454.54027
Arutyunov, A. V.; Gel’man, B. D.; Zhukovskiy, E. S.; Zhukovskiy, S. E.
3
2019
Periodic trajectories and coincidence points of tuples of set-valued maps. Zbl 06951621
Gel’man, B. D.
1
2018
On the structure of the set of coincidence points. Zbl 1322.54026
Arutyunov, A. V.; Gel’man, B. D.
6
2015
On condensing perturbations of closed linear surjective operators. Zbl 1296.47057
Gel’man, B. D.; Kalabukhova, S. N.
1
2012
Introduction to the theory of multi-valued mappings and differential inclusions. With a preface by Gel’man and Obukhovskiĭ. 2nd revised and enlarged ed. (Введение в теорию многозначных отображений и дифференциальных включений.) Zbl 1231.54001
Borisovich, Yu. G.; Gel’man, B. D.; Myshkis, A. D.; Obukhovskiĭ, V. V.
27
2011
Locally covering maps in metric spaces and coincidence points. Zbl 1182.54050
Arutyunov, Aram; Avakov, Evgeniy; Gel’man, Boris; Dmitruk, Andrei; Obukhovskii, Valeri
44
2009
Minimum of a functional in a metric space and fixed points. Zbl 1224.58024
Arutyunov, A. V.; Gel’man, B. D.
1
2009
Bourgin–Yang-type theorem for \(a\)-compact perturbations of closed operators. I: The case of index theories with dimension property. Zbl 1130.47037
Antonyan, Sergey A.; Balanov, Zalman I.; Gel’man, Boris D.
1
2006
Introduction to the theory of multivalued maps and differential inclusions. (Введение в теорию многозначных отображений и дифференциальных включений.) Zbl 1126.34001
Borisovich, Yu. G.; Gel’man, B. D.; Myshkis, A. D.; Obukhovskiĭ, V. V.
21
2005
Continuous approximations of multivalued mappings and fixed points. Zbl 1079.47057
Gel’man, B. D.
2
2005
An infinite-dimensional version of the Borsuk-Ulam theorem. Zbl 1069.47012
Gel’man, B. D.
2
2004
On approximations of multivalued maps. Zbl 06481521
Gel’man, B. D.; Al-Hahemi, H. R.
1
2003
Borsuk-Ulam theorem in infinite-dimensional Banach spaces. Zbl 1026.47038
Gel’man, B. D.
2
2002
On the topological dimension of the solutions sets for some classes of operator and differential inclusions. Zbl 1041.47031
Bader, Ralf; Gel’man, Boris D.; Kamenskii, Mikhail; Obukhovskii, Valeri
2
2002
On a class of multivalued maps. Zbl 1165.54304
Bader, R.; Gel’man, B. D.; Obukhovskij, V. V.
1
2002
A generalized implicit function theorem. Zbl 0997.49021
Gel’man, B. D.
7
2001
On a class of operator equations. Zbl 1035.47045
Gel’man, B. D.
1
2001
The solution set of BVP for some functional differential inclusions. Zbl 0931.34046
Augustynowicz, A.; Dzedzej, Z.; Gelman, B. D.
9
1998
Topological properties of the set of fixed points of a multivalued map. Zbl 0903.54034
Gel’man, B. D.
6
1997
Dimension of the solution set for differential inclusions. Zbl 0783.34008
Dzedzej, Z.; Gelman, B. D.
2
1993
Generalized degree of multi-valued mappings. Zbl 0784.54021
Gel’man, B. D.
1
1991
New results in the theory of multivalued mappings. I: Topological characteristics and solvability of operator relations. Zbl 0711.55002
Borisovich, Yu. G.; Gel’man, B. D.; Myshkis, A. D.; Obukhovskij, V. V.
1
1990
Multivalued analysis and operator inclusions. Zbl 0725.54015
Borisovich, Yu. G.; Gel’man, B. D.; Myshkis, A. D.; Obukhovskij, V. V.
9
1987
Introduction to the theory of multi-valued mappings. (Vvedenie v teoriyu mnogoznachnykh otobrazhenij.) Zbl 0683.54001
Borisovich, Yu. G.; Gel’man, B. D.; Myshkis, A. D.; Obukhovskij, V. V.
3
1986
Multivalued mappings. Zbl 0529.54013
Borisovich, Yu. G.; Gel’man, B. D.; Myshkis, A. D.; Obukhovskij, V. V.
31
1984
On homotopic properties of spaces of subsets. Zbl 0593.55001
Benkafadar, N.; Gel’man, B. D.
1
1983
Set-valued maps. Zbl 0514.54009
Borisovich, Yu. G.; Gel’man, B. D.; Myshkis, A. D.; Obukhovskij, V. V.
1
1982
Topological methods in the fixed-point theory of multi-valued maps. Zbl 0464.55003
Borisovich, Yu. G.; Gel’man, B. D.; Myshkis, A. D.; Obukhovskij, V. V.
20
1980
The two-point boundary value problem in geometrical mechanics with discontinuous forces. Zbl 0477.70016
Gel’man, B. D.; Gliklikh, Yu. E.
1
1980
all top 5

Cited by 156 Authors

26 Arutyunov, Aram Vladimirovic
23 Zhukovskiĭ, Evgeniĭ Semenovich
21 Obukhovskiĭ, Valeriĭ Vladimirovich
16 Zhukovskiĭ, Sergeĭ Evgen’evich
12 Gel’man, Boris Danielovich
9 Andres, Jan
9 Zecca, Pietro
8 Kornev, Sergeĭ Viktorovich
7 Kamenskiĭ, Mikhaĭl Igor’evich
6 Väth, Martin
5 Finogenko, Ivan Anatol’evich
5 Fomenko, Tat’yana Nikolaevna
4 Durea, Marius
4 Malaguti, Luisa
4 Petrosyan, Garik Garikovich
4 Strugariu, Radu
4 Yao, Jen-Chih
4 Zeng, Biao
4 Zvyagin, Viktor Grigor’evich
3 Agarwal, Ravi P.
3 Avakov, Evgeniĭ Rachievich
3 Ioffe, Alexander Davidovich
3 Klimov, Vladimir Stepanovich
3 Kozyakin, Viktor Sergeevich
3 Kryszewski, Wojciech
3 Liu, Zhenhai
2 Afanasova, Mariya Sergeevna
2 Ahmad, Bashir
2 Al-saedi, Ahmed Eid Salem
2 Castellani, Marco
2 Couchouron, Jean-François
2 Dzedzej, Zdzisław
2 Eisner, Jan
2 Frigon, Marlène
2 Gabor, Grzegorz
2 Giuli, Massimiliano
2 Gliklikh, Yuriĭ Evgen’evich
2 Górniewicz, Lech
2 Khachatryan, Rafik Agasievich
2 Kožušníková, Martina
2 Kučera, Milan
2 Lin, Yueh-Ju
2 Liou, Yeongcheng
2 Marano, Salvatore Angelo
2 Nistri, Paolo
2 Pavlačková, Martina
2 Pluzhnikova, Elena Aleksandrovna
2 Podoprikhin, Dmitry A.
2 Shahzad, Naseer
2 Smirnov, Sergeĭ Nikolaevich
2 Song, Kyungwoo
2 Yuan, Wei
2 Zhukovskaya, Tat’yana Vladimirovna
2 Zhukovskaya, Zukhra Tagirovna
1 Adly, Samir
1 Antonyan, Sergey A.
1 Apetrii, Marius
1 Appell, Jürgen M.
1 Averna, Diego
1 Bader, Ralf
1 Baĭdosov, Vyacheslav Aleksandrovich
1 Balanov, Zalman I.
1 Banakh, Iryna
1 Banakh, Taras Onufrievich
1 Baranovskiĭ, Evgeniĭ Sergeevich
1 Bendouma, Bouharket
1 Bianchi, Monica
1 Borisovich, Yuriĭ Grigor’evich
1 Bortakovskii, A. S.
1 Brown, Aldric L.
1 Brykalov, Sergeĭ Arkad’evich
1 Burlakov, Evgenii O.
1 Chebotarev, Pavel Yu.
1 Chen, Zhangyou
1 Conti, Giuseppe
1 Cotrina, John
1 Ćwiszewski, Aleksander
1 De Blasi, Francesco Saverio
1 de Oliveira, Valeriano Antunes
1 De Pascale, Espedito
1 Deutsch, Frank
1 Dong, Ge
1 Dontchev, Asen L.
1 Erbe, Lynn Harry
1 Fan, Xianling
1 Fang, Xiaochun
1 Filippova, Ol’ga Viktorovna
1 Fišer, Jiří
1 Georgiev, Pando Grigorov
1 Getmanova, Ekaterina Nikolaevna
1 Good, Chris
1 Greenwood, Sina
1 Guo, Qinyi
1 Hammoudi, Ahmed
1 Han, Jongmin
1 Hoehener, Daniel
1 Huang, Deqing
1 Huang, Yong
1 Huynh, van Ngai
1 Indumathi, V.
...and 56 more Authors
all top 5

Cited in 72 Serials

17 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
10 Set-Valued and Variational Analysis
8 Mathematical Notes
8 Differential Equations
7 Topology and its Applications
7 Doklady Mathematics
7 Proceedings of the Steklov Institute of Mathematics
6 Journal of Mathematical Analysis and Applications
6 Journal of Optimization Theory and Applications
5 Russian Mathematics
5 Journal of Mathematical Sciences (New York)
4 Journal of Differential Equations
4 Automation and Remote Control
4 Abstract and Applied Analysis
3 Applicable Analysis
3 Journal of Applied Mathematics and Mechanics
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Functional Analysis and its Applications
3 Journal of Fixed Point Theory and Applications
2 Computers & Mathematics with Applications
2 Siberian Mathematical Journal
2 Zeitschrift für Analysis und ihre Anwendungen
2 Mathematical Programming. Series A. Series B
2 Calculus of Variations and Partial Differential Equations
2 Sbornik: Mathematics
2 Matematicheskie Trudy
2 Acta Mathematica Sinica. English Series
2 Central European Journal of Mathematics
2 Advances in Difference Equations
2 Vestnik Rossiĭskikh Universitetov. Matematika
1 Analysis Mathematica
1 Linear and Multilinear Algebra
1 Ukrainian Mathematical Journal
1 Chaos, Solitons and Fractals
1 Prikladnaya Matematika i Mekhanika
1 Applied Mathematics and Computation
1 Applied Mathematics and Optimization
1 Journal of Approximation Theory
1 Journal of Soviet Mathematics
1 Mathematica Slovaca
1 Numerical Functional Analysis and Optimization
1 Proceedings of the American Mathematical Society
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Rendiconti del Seminario Matematico della Università di Padova
1 Transactions of the American Mathematical Society
1 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques
1 Applied Mathematics Letters
1 International Journal of Adaptive Control and Signal Processing
1 Journal of Global Optimization
1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
1 YUJOR. Yugoslav Journal of Operations Research
1 Linear Algebra and its Applications
1 SIAM Journal on Optimization
1 Journal of Computer and Systems Sciences International
1 Set-Valued Analysis
1 Izvestiya: Mathematics
1 Arab Journal of Mathematical Sciences
1 Mathematical Methods of Operations Research
1 Nonlinear Analysis. Real World Applications
1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis
1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal
1 Fixed Point Theory and Applications
1 Chebyshevskiĭ Sbornik
1 Matematicheskaya Teoriya Igr i eë Prilozheniya
1 Ufimskiĭ Matematicheskiĭ Zhurnal
1 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika
1 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki
1 Izvestiya Instituta Matematiki i Informatiki. Udmurtskiĭ Gosudarstvennyĭ Universitet
1 Discontinuity, Nonlinearity, and Complexity
1 Journal of Function Spaces
1 Nonlinear Analysis. Theory, Methods & Applications
1 Journal of Nonlinear and Variational Analysis

Citations by Year