W. A. Kirk

11.3k total citations · 6 hit papers
122 papers, 7.8k citations indexed

About

W. A. Kirk is a scholar working on Geometry and Topology, Computational Theory and Mathematics and Applied Mathematics. According to data from OpenAlex, W. A. Kirk has authored 122 papers receiving a total of 7.8k indexed citations (citations by other indexed papers that have themselves been cited), including 106 papers in Geometry and Topology, 84 papers in Computational Theory and Mathematics and 36 papers in Applied Mathematics. Recurrent topics in W. A. Kirk's work include Fixed Point Theorems Analysis (98 papers), Optimization and Variational Analysis (80 papers) and Nonlinear Differential Equations Analysis (23 papers). W. A. Kirk is often cited by papers focused on Fixed Point Theorems Analysis (98 papers), Optimization and Variational Analysis (80 papers) and Nonlinear Differential Equations Analysis (23 papers). W. A. Kirk collaborates with scholars based in United States, Saudi Arabia and Thailand. W. A. Kirk's co-authors include Kazimierz Goebel, K. Goebel, Brailey Sims, P. Veeramani, Naseer Shahzad, Mohamed A. Khamsi, Bancha Panyanak, L. P. Belluce, Simeon Reich and Sompong Dhompongsa and has published in prestigious journals such as Journal of Applied Polymer Science, Journal of Mathematical Analysis and Applications and Applied Mathematics and Computation.

In The Last Decade

W. A. Kirk

117 papers receiving 6.6k citations

Hit Papers

Topics in Metric Fixed Point Theory 1965 2026 1985 2005 1990 1965 1972 2001 2008 500 1000 1.5k
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.

  1. Topics in Metric Fixed Point Theory
    1990 1.7k citations W. A. Kirk et al. profile →
  2. A Fixed Point Theorem for Mappings which do not Increase Distances
    1965 746 citations W. A. Kirk profile →
  3. A fixed point theorem for asymptotically nonexpansive mappings
    1972 637 citations K. Goebel, W. A. Kirk Proceedings of the American Mathematical Society profile →
  4. Handbook of Metric Fixed Point Theory
    2001 375 citations W. A. Kirk, Brailey Sims profile →
  5. FIXED POINTS FOR MAPPINGS SATISFYING CYCLICAL CONTRACTIVE CONDITIONS
    2008 284 citations W. A. Kirk et al. profile →
  6. Fixed Point Theory in Distance Spaces
    2014 279 citations W. A. Kirk, Naseer Shahzad profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
W. A. Kirk United States 34 6.4k 5.7k 2.4k 1.9k 1.2k 122 7.8k
Simeon Reich Israel 50 7.9k 1.2× 10.1k 1.8× 6.1k 2.5× 2.6k 1.3× 2.0k 1.7× 415 12.6k
Hong‐Kun Xu China 44 6.7k 1.1× 9.9k 1.7× 7.3k 3.0× 1.1k 0.6× 1.2k 1.0× 185 10.6k
Sam B. Nadler United States 15 2.7k 0.4× 1.2k 0.2× 264 0.1× 804 0.4× 854 0.7× 81 3.4k
Themistocles M. Rassias Greece 34 1.6k 0.3× 980 0.2× 1.6k 0.7× 7.7k 4.0× 2.6k 2.2× 207 9.0k
Jean‐Paul Penot France 28 886 0.1× 2.3k 0.4× 1.2k 0.5× 916 0.5× 554 0.5× 144 2.7k
Asen L. Dontchev United States 30 749 0.1× 2.6k 0.5× 2.1k 0.9× 616 0.3× 414 0.4× 96 3.8k
A. D. Ioffe Israel 26 849 0.1× 2.3k 0.4× 1.2k 0.5× 782 0.4× 580 0.5× 87 2.6k
Ronald J. Stern United States 26 1.4k 0.2× 1.4k 0.2× 679 0.3× 639 0.3× 1.0k 0.9× 100 3.7k
Erdal Karapınar Türkiye 52 9.1k 1.4× 1.1k 0.2× 636 0.3× 2.0k 1.1× 155 0.1× 478 10.4k
R. R. Phelps United States 27 1.0k 0.2× 1.7k 0.3× 487 0.2× 1.3k 0.7× 1.8k 1.5× 57 3.3k

Countries citing papers authored by W. A. Kirk

Since Specialization
Citations

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

Fields of papers citing papers by W. A. Kirk

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of W. A. Kirk

This figure shows the co-authorship network connecting the top 25 collaborators of W. A. Kirk. A scholar is included among the top collaborators of W. A. Kirk 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. A. Kirk. W. A. Kirk 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.
Kirk, W. A. & Naseer Shahzad. (2018). Normal structure and orbital fixed point conditions. Journal of Mathematical Analysis and Applications. 463(2). 461–476. 9 indexed citations
2.
Kirk, W. A. & Naseer Shahzad. (2017). Remarks on Pasicki’s abstract metric spaces and Lifshits’s constant. Fixed Point Theory. 18(2). 651–662. 1 indexed citations
3.
Alghamdi, Maryam A, W. A. Kirk, & Naseer Shahzad. (2014). Locally nonexpansive mappings in geodesic and length spaces. Topology and its Applications. 173. 59–73. 7 indexed citations
4.
Kirk, W. A. & Naseer Shahzad. (2012). Some fixed point results in ultrametric spaces. Topology and its Applications. 159(15). 3327–3334. 23 indexed citations
5.
Kirk, W. A.. (2003). Fixed points of asymptotic contractions. Journal of Mathematical Analysis and Applications. 277(2). 645–650. 117 indexed citations
6.
Kirk, W. A., et al.. (2001). FIXED POINTS AND APPROXIMATE FIXED POINTS IN PRODUCT SPACES. Taiwanese Journal of Mathematics. 5(2). 405–416. 8 indexed citations
7.
Khamsi, Mohamed A., et al.. (2000). Fixed point and selection theorems in hyperconvex spaces. Proceedings of the American Mathematical Society. 128(11). 3275–3283. 27 indexed citations
8.
Kirk, W. A. & Brailey Sims. (1999). Convergence of Picard iterates of nonexpansive mappings. Bulletin of The Polish Academy of Sciences Mathematics. 47(2). 147–155. 10 indexed citations
9.
Rouhani, Behzad Djafari & W. A. Kirk. (1999). Asymptotic Properties of Nonexpansive Iterations in Reflexive Spaces. Journal of Mathematical Analysis and Applications. 236(2). 281–289. 6 indexed citations
10.
Kirk, W. A., et al.. (1997). A FIXED POINT THEOREM REVISITED. Journal of the Korean Mathematical Society. 34(2). 285–291. 12 indexed citations
11.
Jaworowski, Jan, W. A. Kirk, & Sehie Park. (1995). Antipodal points and fixed points. 7 indexed citations
12.
Kirk, W. A., et al.. (1995). A CONSTRUCTIVE PROOF OF A FIXED POINT THEOREM OF SOARDI. Mathematica japonica. 41(2). 233–237. 5 indexed citations
13.
Kirk, W. A. & Melissa S. Anderson. (1983). A coincidence theorem for mappings satisfying local conditions. 2. 159–170. 1 indexed citations
14.
Kirk, W. A.. (1981). An abstract fixed point theorem for nonexpansive mappings. Proceedings of the American Mathematical Society. 82(4). 640–642. 22 indexed citations
15.
Goebel, K., et al.. (1974). Uniformly Lipschitzian Families of Transformations in Banach Spaces. Canadian Journal of Mathematics. 26(5). 1245–1256. 26 indexed citations
16.
Gatica, Juan A. & W. A. Kirk. (1972). Fixed point theorems for Lipschitzian pseudo-contractive mappings. Proceedings of the American Mathematical Society. 36(1). 111–111. 27 indexed citations
17.
Kirk, W. A.. (1970). Mappings of generalized contractive type. Journal of Mathematical Analysis and Applications. 32(3). 567–572. 37 indexed citations
18.
Belluce, L. P. & W. A. Kirk. (1969). Fixed-point theorems for certain classes of nonexpansive mappings. Proceedings of the American Mathematical Society. 20(1). 141–146. 47 indexed citations
19.
Kirk, W. A.. (1969). On nonlinear mappings of strongly semicontractive type. Journal of Mathematical Analysis and Applications. 27(2). 409–412. 28 indexed citations
20.
Kirk, W. A. & John L. McKenzie. (1956). Three Bronze Age Cist Burials in NE Scotland. Proceedings of the Society of Antiquaries of Scotland. 88. 1–14. 5 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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