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

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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 →

Peers

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

#	Work	Indexed citations
1	General Summability Factor Theorems and Applications 2024 ·SARAJEVO JOURNAL OF MATHEMATICS ·Β. E. Rhoades, Ekrem Savaş	0
2	SOME CLASSES OF DOUBLY INFINITE MATRICES 2015 ·SHILAP Revista de lepidopterología ·Β. E. Rhoades	1
3	PROVING FIXED POINT THEOREMS IN D-METRIC SPACES VIA GENERAL EXISTENCE PRINCIPLES 2015 ·Bapurao C. Dhage, Β. E. Rhoades	0
4	Asymptotically and Statistically Equivalent Functions Defined on Amenable Semigroups 2012 ·Thai Journal of Mathematics ·Fatıh Nuray, Β. E. Rhoades	0
5	ON $q$-HAUSDORFF MATRICES 2011 ·Taiwanese Journal of Mathematics ·(unknown), Ekrem Savaş, Β. E. Rhoades	4
6	Common fixed points of generalized contractive multivalued mappings in cone metric spaces 2009 ·Mathematical communications ·Mujahid Abbas, Β. E. Rhoades, Talat Nazir	2
7	Four-dimensional matrix transformation and the double Gibbs' phenomenon 2009 ·Mathematical communications ·Richard F. Patterson, Β. E. Rhoades	2
8	Common fixed point theorems for occasionally weakly compatible mappings satisfying a generalized contractive condition 2008 ·Mathematical communications ·Mujahid Abbas, Β. E. Rhoades	18
9	Absolute comparison theorems for double weighted mean and double Cesàro means 1998 ·Mathematica Slovaca ·Β. E. Rhoades	6
10	A fixed point theorem for a multivalued non-self mapping 1996 ·Commentationes Mathematicae Universitatis Carolinae ·Β. E. Rhoades	16
11	Fixed Point Theorems for Set-Valued Mapping 1982 ·Kobe University Repository Kernel (Kobe University) ·Β. E. Rhoades	1
12	A Class of Fixed Point Theorems 1979 ·Mathematics seminar notes ·(unknown), Β. E. Rhoades	2
13	A comparison of various definitions of contractive mappings breakdown → 1977 ·Transactions of the American Mathematical Society ·Β. E. Rhoades	542
14	Some Fixed Point Theorems in Banach Spaces 1977 ·Kobe University Repository Kernel (Kobe University) ·Β. E. Rhoades	2
15	A common fixed point theorem 1976 ·Rendiconti del Seminario Matematico della Università di Padova ·Β. E. Rhoades	2
16	Fixed point iterations using infinite matrices 1974 ·Transactions of the American Mathematical Society ·Β. E. Rhoades	60
17	Some Hausdorff matrices not of type M 1964 ·Proceedings of the American Mathematical Society ·Β. E. Rhoades	6
18	A sufficient condition for total monotonicity 1963 ·Transactions of the American Mathematical Society ·Β. E. Rhoades	5
19	Hausdorff summability methods, addendum 1963 ·Transactions of the American Mathematical Society ·Β. E. Rhoades	2
20	Hausdorff summability methods 1961 ·Transactions of the American Mathematical Society ·Β. E. Rhoades	12

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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