W. G. Dotson

1.1k total citations · 1 hit paper
19 papers, 816 citations indexed

About

W. G. Dotson is a scholar working on Geometry and Topology, Computational Theory and Mathematics and Applied Mathematics. According to data from OpenAlex, W. G. Dotson has authored 19 papers receiving a total of 816 indexed citations (citations by other indexed papers that have themselves been cited), including 13 papers in Geometry and Topology, 11 papers in Computational Theory and Mathematics and 7 papers in Applied Mathematics. Recurrent topics in W. G. Dotson's work include Optimization and Variational Analysis (9 papers), Fixed Point Theorems Analysis (9 papers) and Functional Equations Stability Results (4 papers). W. G. Dotson is often cited by papers focused on Optimization and Variational Analysis (9 papers), Fixed Point Theorems Analysis (9 papers) and Functional Equations Stability Results (4 papers). W. G. Dotson collaborates with scholars based in United States. W. G. Dotson's co-authors include W. Robert Mann and has published in prestigious journals such as Mathematics of Computation, Journal of Mathematical Analysis and Applications and Transactions of the American Mathematical Society.

In The Last Decade

W. G. Dotson

16 papers receiving 634 citations

Hit Papers

align trajectories

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.

Approximating fixed points of nonexpansive mappings

1974 422 citations W. G. Dotson et al. Proceedings of the American Mathematical Society profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
W. G. Dotson United States	10	746	677	490	145	86	19	816
K. Goebel United States	9	857 1.1×	834 1.2×	467 1.0×	251 1.7×	130 1.5×	10	950
Teck-Cheong Lim United States	11	521 0.7×	569 0.8×	225 0.5×	216 1.5×	72 0.8×	21	666
Rainer Wittmann Germany	8	456 0.6×	371 0.5×	359 0.7×	74 0.5×	116 1.3×	30	585
Jong Soo Jung South Korea	16	730 1.0×	688 1.0×	483 1.0×	107 0.7×	56 0.7×	65	848
M.O. Osilike Nigeria	15	829 1.1×	704 1.0×	516 1.1×	159 1.1×	101 1.2×	36	860
Enrique Llorens-Fuster Spain	12	440 0.6×	423 0.6×	143 0.3×	200 1.4×	191 2.2×	41	555
Y. J. Cho South Korea	12	502 0.7×	399 0.6×	332 0.7×	37 0.3×	90 1.0×	32	709
Hong Kun Xu China	8	344 0.5×	317 0.5×	183 0.4×	85 0.6×	44 0.5×	13	374
Habtu Zegeye Botswana	23	1.6k 2.2×	1.3k 1.9×	1.1k 2.2×	203 1.4×	157 1.8×	124	1.7k
Yongfu Su China	18	1.0k 1.4×	972 1.4×	835 1.7×	68 0.5×	42 0.5×	109	1.2k

Countries citing papers authored by W. G. Dotson

Since Specialization

Citations

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

Fields of papers citing papers by W. G. Dotson

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by W. G. Dotson. 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 W. G. Dotson. The network helps show where W. G. Dotson may publish in the future.

Co-authorship network of co-authors of W. G. Dotson

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

All Works

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19 of 19 papers shown

1.

Dotson, W. G., et al.. (1979). A nonlinear theroem of ergodic type. II. Proceedings of the American Mathematical Society. 73(1). 37–39. 1 indexed citations

2.

Dotson, W. G., et al.. (1979). A nonlinear theorem of ergodic type. Proceedings of the American Mathematical Society. 73(1). 35–36. 2 indexed citations

3.

Dotson, W. G.. (1978). An iterative process for nonlinear monotonic nonexpansive operators in Hilbert space. Mathematics of Computation. 32(141). 223–225. 20 indexed citations

4.

Dotson, W. G. & W. Robert Mann. (1977). The Schauder Fixed Point Theorem for Nonexpansive Mappings. American Mathematical Monthly. 84(5). 363–364.

5.

Dotson, W. G., et al.. (1974). Approximating fixed points of nonexpansive mappings. Proceedings of the American Mathematical Society. 44(2). 375–380. 422 indexed citations breakdown →

6.

Dotson, W. G.. (1973). On fixed points of nonexpansive mappings in nonconvex sets. Proceedings of the American Mathematical Society. 38(1). 155–156. 24 indexed citations

7.

Dotson, W. G.. (1973). On Fixed Points of Nonexpansive Mappings in Nonconvex Sets. Proceedings of the American Mathematical Society. 38(1). 155–155. 8 indexed citations

8.

Dotson, W. G.. (1972). Fixed points of quasi-nonexpansive mappings. Journal of the Australian Mathematical Society. 13(2). 167–170. 107 indexed citations

9.

Dotson, W. G.. (1972). Fixed Point Theorems for Non-Expansive Mappings on Star-Shaped Subsets of Banach Spaces. Journal of the London Mathematical Society. s2-4(3). 408–410. 50 indexed citations

10.

Dotson, W. G.. (1971). Mean ergodic theorems and iterative solution of linear functional equations. Journal of Mathematical Analysis and Applications. 34(1). 141–150. 11 indexed citations

11.

Dotson, W. G.. (1970). On the solution of linear functional equations by averaging iteration.. Proceedings of the American Mathematical Society. 25(3). 504–504. 6 indexed citations

12.

Dotson, W. G.. (1970). A Note on Generalized Semilinear Transformations. Mathematics Magazine. 43(3). 147–149. 1 indexed citations

13.

Dotson, W. G., et al.. (1970). A Class of Functions Having Elementary Integrals for Arc Length. Mathematics Magazine. 43(1). 42–43. 1 indexed citations

14.

Dotson, W. G.. (1970). On the Mann Iterative Process. Transactions of the American Mathematical Society. 149(1). 65–65. 21 indexed citations

15.

Dotson, W. G.. (1970). On the Mann iterative process. Transactions of the American Mathematical Society. 149(1). 65–73. 93 indexed citations

16.

Dotson, W. G.. (1969). An application of ergodic theory to the solution of linear functional equations in Banach spaces. Bulletin of the American Mathematical Society. 75(2). 347–352. 21 indexed citations

17.

Dotson, W. G.. (1968). Decomposability of Positive Functions on Rⁿ. American Mathematical Monthly. 75(4). 350–357. 2 indexed citations

18.

Dotson, W. G.. (1968). A Note on Complex Polynomials Having Rolle's Property and the Mean Value Property for Derivatives. Mathematics Magazine. 41(3). 140–144. 3 indexed citations

19.

Dotson, W. G. & W. Robert Mann. (1968). A generalized corollary of the Browder-Kirk fixed point theorem. Pacific Journal of Mathematics. 26(3). 455–459. 23 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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