B. D. Gel’man

459 total citations
26 papers, 297 citations indexed

About

B. D. Gel’man is a scholar working on Computational Theory and Mathematics, Geometry and Topology and Applied Mathematics. According to data from OpenAlex, B. D. Gel’man has authored 26 papers receiving a total of 297 indexed citations (citations by other indexed papers that have themselves been cited), including 20 papers in Computational Theory and Mathematics, 19 papers in Geometry and Topology and 17 papers in Applied Mathematics. Recurrent topics in B. D. Gel’man's work include Optimization and Variational Analysis (15 papers), Fixed Point Theorems Analysis (11 papers) and Nonlinear Differential Equations Analysis (8 papers). B. D. Gel’man is often cited by papers focused on Optimization and Variational Analysis (15 papers), Fixed Point Theorems Analysis (11 papers) and Nonlinear Differential Equations Analysis (8 papers). B. D. Gel’man collaborates with scholars based in Russia, Algeria and Poland. B. D. Gel’man's co-authors include Valeri Obukhovskiĭ, А. Д. Мышкис, A. V. Arutyunov, А. В. Дмитрук, E. R. Avakov, S. E. Zhukovskiy, Mikhail Kamenskiĭ and Ralf M. Bader and has published in prestigious journals such as Russian Mathematical Surveys, Abstract and Applied Analysis and Functional Analysis and Its Applications.

In The Last Decade

B. D. Gel’man

22 papers receiving 252 citations

Peers

B. D. Gel’man
S. E. Zhukovskiy Russia
Hadi Khatibzadeh Iran
József J. Kolumbán Romania
M. B. Suryanarayana United States
Giovanni Vidossich Italy
J. Myjak Italy
Andrzej Fryszkowski Poland
Antonio Marigonda Italy
Sławomir Plaskacz Poland
Pierluigi Benevieri Italy
S. E. Zhukovskiy Russia
B. D. Gel’man
Citations per year, relative to B. D. Gel’man B. D. Gel’man (= 1×) peers S. E. Zhukovskiy

Countries citing papers authored by B. D. Gel’man

Since Specialization
Citations

This map shows the geographic impact of B. D. Gel’man's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by B. D. Gel’man with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites B. D. Gel’man more than expected).

Fields of papers citing papers by B. D. Gel’man

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by B. D. Gel’man. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by B. D. Gel’man. The network helps show where B. D. Gel’man may publish in the future.

Co-authorship network of co-authors of B. D. Gel’man

This figure shows the co-authorship network connecting the top 25 collaborators of B. D. Gel’man. A scholar is included among the top collaborators of B. D. Gel’man based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with B. D. Gel’man. B. D. Gel’man is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Gel’man, B. D. & Valeri Obukhovskiĭ. (2020). Multivalued Maps And Differential Inclusions: Elements Of Theory And Applications. 4 indexed citations
2.
Arutyunov, A. V., et al.. (2019). Caristi-like condition. Existence of solutions to equations and minima of functions in metric spaces. Fixed Point Theory. 20(1). 31–58. 5 indexed citations
3.
Gel’man, B. D.. (2019). Caristi’s Inequality and α-Contraction Mappings. Functional Analysis and Its Applications. 53(3). 224–228.
4.
Gel’man, B. D.. (2018). Periodic Trajectories and Coincidence Points of Tuples of Set-Valued Maps. Functional Analysis and Its Applications. 52(2). 139–143. 1 indexed citations
5.
Gel’man, B. D.. (2016). A version of the infinite-dimensional Borsuk-Ulam theorem for multivalued maps. Sbornik Mathematics. 207(6). 841–853. 1 indexed citations
6.
Arutyunov, A. V. & B. D. Gel’man. (2015). On the structure of the set of coincidence points. Sbornik Mathematics. 206(3). 370–388. 7 indexed citations
7.
Arutyunov, A. V. & B. D. Gel’man. (2009). Minimum of a functional in a metric space and fixed points. Computational Mathematics and Mathematical Physics. 49(7). 1111–1118. 2 indexed citations
8.
Gel’man, B. D.. (2008). On the cauchy problem for a class of degenerate differential equations with Lipschitz right-hand side. Functional Analysis and Its Applications. 42(3). 227–229.
9.
Gel’man, B. D.. (2005). Continuous Approximations of Multivalued Mappings and Fixed Points. Mathematical Notes. 78(1-2). 194–203. 4 indexed citations
10.
Gel’man, B. D.. (2004). An infinite-dimensional version of the Borsuk-Ulam theorem. Functional Analysis and Its Applications. 38(4). 239–242. 4 indexed citations
11.
Bader, Ralf M., B. D. Gel’man, Mikhail Kamenskiĭ, & Valeri Obukhovskiĭ. (2002). On the topological dimension of the solutions sets for some classes of operator and differential inclusions. 22(1). 17–17. 3 indexed citations
12.
Gel’man, B. D.. (2002). Borsuk-Ulam theorem in infinite-dimensional Banach spaces. Sbornik Mathematics. 193(1). 83–91. 7 indexed citations
13.
Gel’man, B. D.. (2001). On a Class of Operator Equations. Mathematical Notes. 70(3-4). 494–501.
14.
Gel’man, B. D., et al.. (1998). The Solution Set to BVP for Some Functional Differential Inclusions. Set-Valued Analysis. 6(3). 257–263. 11 indexed citations
15.
Gel’man, B. D., et al.. (1996). On a local degree for a class of multi‐valued vector fields ininfinite dimensional Banach spaces. Abstract and Applied Analysis. 1(4). 381–396. 2 indexed citations
16.
Gel’man, B. D., et al.. (1993). Dimension of the solution set for differential inclusions. Demonstratio Mathematica. 26(1). 11 indexed citations
17.
Gel’man, B. D., et al.. (1990). New results in the theory of multivalued mappings. I. Topological characteristics and solvability of operator relations. Journal of Mathematical Sciences. 49(1). 800–855. 8 indexed citations
18.
Gel’man, B. D., et al.. (1987). Multivalued analysis and operator inclusions. Journal of Mathematical Sciences. 39(3). 2772–2773. 15 indexed citations
19.
Gel’man, B. D., et al.. (1984). Multivalued mappings. Journal of Mathematical Sciences. 24(6). 719–791. 27 indexed citations
20.
Gel’man, B. D., et al.. (1980). TOPOLOGICAL METHODS IN THE FIXED-POINT THEORY OF MULTI-VALUED MAPS. Russian Mathematical Surveys. 35(1). 65–143. 91 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

Explore authors with similar magnitude of impact

Breakdown of academic impact, for papers by S. E. Zhukovskiy Breakdown of academic impact, for papers by Hadi Khatibzadeh Breakdown of academic impact, for papers by József J. Kolumbán Breakdown of academic impact, for papers by M. B. Suryanarayana Breakdown of academic impact, for papers by Giovanni Vidossich Breakdown of academic impact, for papers by J. Myjak Breakdown of academic impact, for papers by Andrzej Fryszkowski Breakdown of academic impact, for papers by Antonio Marigonda Breakdown of academic impact, for papers by Sławomir Plaskacz Breakdown of academic impact, for papers by Pierluigi Benevieri
Rankless by CCL
2026