Β. E. Rhoades

7.2k total citations · 2 hit papers
220 papers, 5.0k citations indexed

About

Β. E. Rhoades is a scholar working on Geometry and Topology, Computational Theory and Mathematics and Statistics and Probability. According to data from OpenAlex, Β. E. Rhoades has authored 220 papers receiving a total of 5.0k indexed citations (citations by other indexed papers that have themselves been cited), including 114 papers in Geometry and Topology, 80 papers in Computational Theory and Mathematics and 72 papers in Statistics and Probability. Recurrent topics in Β. E. Rhoades's work include Fixed Point Theorems Analysis (103 papers), Approximation Theory and Sequence Spaces (72 papers) and Optimization and Variational Analysis (48 papers). Β. E. Rhoades is often cited by papers focused on Fixed Point Theorems Analysis (103 papers), Approximation Theory and Sequence Spaces (72 papers) and Optimization and Variational Analysis (48 papers). Β. E. Rhoades collaborates with scholars based in United States, Türkiye and India. Β. E. Rhoades's co-authors include Mujahid Abbas, Ferenc Móricz, Gerald Jungck, Stojan Radenović, Troy L. Hicks, Reza Saadati, Duran Türkoğlu, S. M. Vaezpour, Ekrem Savaş and Fatıh Nuray and has published in prestigious journals such as SHILAP Revista de lepidopterología, Journal of Mathematical Analysis and Applications and Transactions of the American Mathematical Society.

In The Last Decade

Β. E. Rhoades

200 papers receiving 4.0k citations

Hit Papers

align trajectories sort by overperformance

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

A comparison of various definitions of contractive mappings

1977 542 citations Β. E. Rhoades Transactions of the American Mathematical Society profile →
Some theorems on weakly contractive maps

2001 481 citations Β. E. Rhoades profile →

Author Peers

Peers are selected by citation overlap in the author's most active subfields. citations · hero ref

Author						Papers	Cites
Β. E. Rhoades	3.8k	1.5k	911	885	770	220	5.0k
Vladimir Rakočević	1.5k 0.4×	867 0.6×	823 0.9×	261 0.3×	335 0.4×	161	2.6k
Naseer Shahzad	4.7k 1.2×	2.9k 1.9×	790 0.9×	1.4k 1.6×	99 0.1×	290	5.4k
Sam B. Nadler	2.7k 0.7×	1.2k 0.8×	804 0.9×	264 0.3×	72 0.1×	81	3.4k
Mohamed A. Khamsi	2.0k 0.5×	1.4k 0.9×	646 0.7×	320 0.4×	110 0.1×	126	2.3k
Reza Saadati	1.8k 0.5×	261 0.2×	1.1k 1.2×	231 0.3×	332 0.4×	240	2.8k
Yeol Je Cho	2.7k 0.7×	3.0k 1.9×	591 0.6×	2.1k 2.4×	84 0.1×	243	4.1k
W. V. Petryshyn	1.7k 0.4×	2.3k 1.5×	1.1k 1.2×	1.3k 1.4×	94 0.1×	87	3.2k
Jean‐Paul Penot	886 0.2×	2.3k 1.5×	916 1.0×	1.2k 1.4×	155 0.2×	144	2.7k
Erdal Karapınar	9.1k 2.4×	1.1k 0.7×	2.0k 2.2×	636 0.7×	74 0.1×	478	10.4k
Nawab Hussain	3.6k 0.9×	990 0.6×	423 0.5×	308 0.3×	88 0.1×	262	3.8k

Countries citing papers authored by Β. E. Rhoades

Since Specialization

Citations

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

Fields of papers citing papers by Β. E. Rhoades

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Β. E. Rhoades. 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 Β. E. Rhoades. The network helps show where Β. E. Rhoades may publish in the future.

Co-authorship network of co-authors of Β. E. Rhoades

This figure shows the co-authorship network connecting the top 25 collaborators of Β. E. Rhoades. A scholar is included among the top collaborators of Β. E. Rhoades 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 Β. E. Rhoades. Β. E. Rhoades is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Rhoades, Β. E. & Ekrem Savaş. (2024). General Summability Factor Theorems and Applications. SARAJEVO JOURNAL OF MATHEMATICS. 1(1). 59–73.

Rhoades, Β. E.. (2015). SOME CLASSES OF DOUBLY INFINITE MATRICES. SHILAP Revista de lepidopterología. 1 indexed citations

Dhage, Bapurao C. & Β. E. Rhoades. (2015). PROVING FIXED POINT THEOREMS IN D-METRIC SPACES VIA GENERAL EXISTENCE PRINCIPLES. 34(4).

Savaş, Ekrem, et al.. (2011). ON $q$-HAUSDORFF MATRICES. Taiwanese Journal of Mathematics. 15(6). 2429–2437. 4 indexed citations

Patterson, Richard F. & Β. E. Rhoades. (2009). Four-dimensional matrix transformation and the double Gibbs' phenomenon. Mathematical communications. 14(1). 7–12. 2 indexed citations

Abbas, Mujahid, Β. E. Rhoades, & Talat Nazir. (2009). Common fixed points of generalized contractive multivalued mappings in cone metric spaces. Mathematical communications. 14(2). 365–378. 2 indexed citations

Abbas, Mujahid & Β. E. Rhoades. (2008). Common fixed point theorems for occasionally weakly compatible mappings satisfying a generalized contractive condition. Mathematical communications. 13(2). 295–301. 18 indexed citations

Rhoades, Β. E.. (1996). A fixed point theorem for a multivalued non-self mapping. Commentationes Mathematicae Universitatis Carolinae. 37(2). 401–404. 16 indexed citations

Rhoades, Β. E.. (1986). Common fixed point theorems for three mappings under a weak commutativity condition. 17. 47–67. 11 indexed citations

10.

Rhoades, Β. E.. (1982). Fixed Point Theorems for Set-Valued Mapping. Kobe University Repository Kernel (Kobe University). 10(2). 479–484. 1 indexed citations

11.

Rhoades, Β. E., et al.. (1982). Fixed points for generalized nonexpansive mappings. Commentationes Mathematicae Universitatis Carolinae. 23(3). 443–451. 5 indexed citations

12.

Rhoades, Β. E., et al.. (1979). A Class of Fixed Point Theorems. Mathematics seminar notes. 7(3). 477–489. 2 indexed citations

13.

Rhoades, Β. E.. (1979). Fixed Point Theorems for a Contractive Type Mapping. Kobe University Repository Kernel (Kobe University). 7(1). 13–19. 9 indexed citations

14.

Rhoades, Β. E.. (1977). A comparison of various definitions of contractive mappings. Transactions of the American Mathematical Society. 226(0). 257–290. 542 indexed citations breakdown →

15.

Rhoades, Β. E.. (1977). Some Fixed Point Theorems in Banach Spaces. Kobe University Repository Kernel (Kobe University). 5(1). 69–74. 2 indexed citations

16.

Rhoades, Β. E.. (1974). Fixed point iterations using infinite matrices. Transactions of the American Mathematical Society. 196(0). 161–176. 60 indexed citations

17.

Rhoades, Β. E.. (1964). Some Hausdorff matrices not of type M. Proceedings of the American Mathematical Society. 15(3). 361–365. 6 indexed citations

18.

Rhoades, Β. E.. (1963). A sufficient condition for total monotonicity. Transactions of the American Mathematical Society. 107(2). 309–319. 5 indexed citations

19.

Rhoades, Β. E.. (1963). Hausdorff summability methods, addendum. Transactions of the American Mathematical Society. 106(2). 254–258. 2 indexed citations

20.

Rhoades, Β. E.. (1961). Hausdorff summability methods. Transactions of the American Mathematical Society. 101(3). 396–425. 12 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.

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