Gerald Beer

4.1k citations

150 papers · 2.7k indexed · 1 hit paper · h-index 27

Geometry and Topology top 0.1%
- Advanced Topology and Set Theory 103
- Fixed Point Theorems Analysis 29
Mathematical Physics top 0.5%
- Advanced Banach Space Theory 61
- Mathematical Dynamics and Fractals 15
- Mathematical and Theoretical Analysis 11
Computational Theory and Mathematics top 0.5%
- Optimization and Variational Analysis 46
Algebra and Number Theory top 5%
Statistics and Probability top 1%
Applied Mathematics
- Functional Equations Stability Results 22
Management Science and Operations Research
- Fuzzy and Soft Set Theory 16

Co-authors: Roberto Lucchetti Sandro Levi Jonathan M. Borwein Hédy Attouch S. A. Naimpally Roger J.‐B. Wets R. T. Rockafellar F. S. Van Vleck
Cited by: Geometry and Topology Mathematical Physics Computational Theory and Mathematics
Journals: Proceedings of the American Mathematical Society (32 papers)Journal of Mathematical Analysis and Applications (10 papers)Transactions of the American Mathematical Society (7 papers)
Partner nations: United States Italy Spain

In The Last Decade

Gerald Beer

139 papers receiving 2.2k citations

Hit Papers

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Peers

Countries citing papers authored by Gerald Beer

Since Specialization

Citations

This map shows the geographic impact of Gerald Beer'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 Gerald Beer with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Gerald Beer more than expected).

Fields of papers citing papers by Gerald Beer

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Gerald Beer. 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 Gerald Beer. The network helps show where Gerald Beer may publish in the future.

Co-authorship network

The 25 scholars most cited alongside Gerald Beer, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with Gerald Beer Line = papers co-authored together Gerald Beer links everyone, so they are left out of the graph.

All Works

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20 of 20 papers shown

#	Work
1	Lipschitz modulus of linear and convex inequality systems with the Hausdorff metric Mathematical Programming ·Gerald Beer,M. J. Cánovas,Marco A. López,J. Parra	2020	3
2	Ekeland's theorem and UC spaces Optimization ·Gerald Beer	2011	2
3	Attouch-Wets convergence and a differential operator for convex functions Proceedings of the American Mathematical Society ·Gerald Beer,Michel Théra	1994	10
4	The Infimal Value Functional and the Uniformization of Hit-and-Miss Hyperspace Topologies Proceedings of the American Mathematical Society ·Gerald Beer,F. D. Inácio	1994	2
5	A characterization of epi-convergence in terms of convergence of level sets Proceedings of the American Mathematical Society ·Gerald Beer,R. T. Rockafellar,Roger J.‐B. Wets	1992	30
6	Convex Optimization and the Epi-Distance Topology Transactions of the American Mathematical Society ·Gerald Beer,Roberto Lucchetti	1991	29
7	Convex optimization and the epi-distance topology Transactions of the American Mathematical Society ·Gerald Beer,Roberto Lucchetti	1991	56
8	Mosco convergence and reflexivity Proceedings of the American Mathematical Society ·Gerald Beer,Jonathan M. Borwein	1990	32
9	Conjugate convex functions and the epi-distance topology Proceedings of the American Mathematical Society ·Gerald Beer	1990	54
10	Conjugate Convex Functions and the Epi-Distance Topology Proceedings of the American Mathematical Society ·Gerald Beer	1990	13
11	Infima of convex functions Transactions of the American Mathematical Society ·Gerald Beer	1989	3
12	UC Spaces Revisited American Mathematical Monthly ·Gerald Beer	1988	3
13	Borel measures and Hausdorff distance Transactions of the American Mathematical Society ·Gerald Beer,Sandford Michelo	1988	3
14	On the Young-Fenchel Transform for Convex Functions Proceedings of the American Mathematical Society ·Gerald Beer	1988	12
15	Metric spaces on which continuous functions are uniformly continuous and Hausdorff distance Proceedings of the American Mathematical Society ·Gerald Beer	1985	51
16	On Functions that Approximate Relations Proceedings of the American Mathematical Society ·Gerald Beer	1983	1
17	Cone lattices of upper semicontinuous functions Proceedings of the American Mathematical Society ·Gerald Beer	1982	2
18	Which connected metric spaces are compact? Proceedings of the American Mathematical Society ·Gerald Beer	1981	6
19	Which Connected Metric Spaces are Compact? Proceedings of the American Mathematical Society ·Gerald Beer	1981	3
20	Recession Cones of Nonconvex Sets and Increasing Functions Proceedings of the American Mathematical Society ·Gerald Beer	1979	0

About Gerald Beer

Gerald Beer is a scholar working on Geometry and Topology, Mathematical Physics, Computational Theory and Mathematics, Algebra and Number Theory and Applied Mathematics, having authored 150 papers that have together received 2.7k indexed citations. Recurring topics across this work include Advanced Topology and Set Theory (103 papers), Advanced Banach Space Theory (61 papers), Optimization and Variational Analysis (46 papers), Fixed Point Theorems Analysis (29 papers), Functional Equations Stability Results (22 papers), Fuzzy and Soft Set Theory (16 papers), Mathematical Dynamics and Fractals (15 papers) and Mathematical and Theoretical Analysis (11 papers). The work is most often cited by research in Geometry and Topology (1.7k citations), Mathematical Physics (1.3k citations), Computational Theory and Mathematics (1.1k citations), Algebra and Number Theory (249 citations) and Statistics and Probability (445 citations). Gerald Beer has collaborated with scholars based in United States, Italy and Spain. Frequent co-authors include Roberto Lucchetti, Sandro Levi, Jonathan M. Borwein, Hédy Attouch, S. A. Naimpally, Roger J.‐B. Wets, R. T. Rockafellar, F. S. Van Vleck, C. J. Himmelberg and Jesús Rodrı́guez-López. Their work appears in journals such as Proceedings of the American Mathematical Society, Journal of Mathematical Analysis and Applications, Transactions of the American Mathematical Society, Pacific Journal of Mathematics and Set-Valued and Variational Analysis.

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.

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