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

5 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.

Topics in Metric Fixed Point Theory

1990 1.7k citations W. A. Kirk et al. profile →
A Fixed Point Theorem for Mappings which do not Increase Distances

1965 746 citations W. A. Kirk profile →
A fixed point theorem for asymptotically nonexpansive mappings

1972 637 citations K. Goebel, W. A. Kirk Proceedings of the American Mathematical Society profile →
Handbook of Metric Fixed Point Theory

2001 375 citations W. A. Kirk, Brailey Sims profile →
FIXED POINTS FOR MAPPINGS SATISFYING CYCLICAL CONTRACTIVE CONDITIONS

2008 284 citations W. A. Kirk et al. profile →
Fixed Point Theory in Distance Spaces

2014 279 citations W. A. Kirk, Naseer Shahzad profile →

Peers

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

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20 of 20 papers shown

#	Work	Indexed citations
1	Normal structure and orbital fixed point conditions 2018 ·Journal of Mathematical Analysis and Applications ·W. A. Kirk, Naseer Shahzad	9
2	Remarks on Pasicki’s abstract metric spaces and Lifshits’s constant 2017 ·Fixed Point Theory ·W. A. Kirk, Naseer Shahzad	1
3	Locally nonexpansive mappings in geodesic and length spaces 2014 ·Topology and its Applications ·Maryam A Alghamdi, W. A. Kirk, Naseer Shahzad	7
4	Some fixed point results in ultrametric spaces 2012 ·Topology and its Applications ·W. A. Kirk, Naseer Shahzad	23
5	Fixed points of asymptotic contractions 2003 ·Journal of Mathematical Analysis and Applications ·W. A. Kirk	117
6	FIXED POINTS AND APPROXIMATE FIXED POINTS IN PRODUCT SPACES 2001 ·Taiwanese Journal of Mathematics ·(unknown), W. A. Kirk	8
7	Fixed point and selection theorems in hyperconvex spaces 2000 ·Proceedings of the American Mathematical Society ·Mohamed A. Khamsi, W. A. Kirk, (unknown)	27
8	Convergence of Picard iterates of nonexpansive mappings 1999 ·Bulletin of The Polish Academy of Sciences Mathematics ·W. A. Kirk, Brailey Sims	10
9	Asymptotic Properties of Nonexpansive Iterations in Reflexive Spaces 1999 ·Journal of Mathematical Analysis and Applications ·Behzad Djafari Rouhani, W. A. Kirk	6
10	A FIXED POINT THEOREM REVISITED 1997 ·Journal of the Korean Mathematical Society ·W. A. Kirk, (unknown)	12
11	Antipodal points and fixed points 1995 ·Jan Jaworowski, W. A. Kirk, Sehie Park	7
12	A CONSTRUCTIVE PROOF OF A FIXED POINT THEOREM OF SOARDI 1995 ·Mathematica japonica ·(unknown), W. A. Kirk	5
13	A coincidence theorem for mappings satisfying local conditions 1983 ·W. A. Kirk, Melissa S. Anderson	1
14	An abstract fixed point theorem for nonexpansive mappings 1981 ·Proceedings of the American Mathematical Society ·W. A. Kirk	22
15	Uniformly Lipschitzian Families of Transformations in Banach Spaces 1974 ·Canadian Journal of Mathematics ·K. Goebel, W. A. Kirk, (unknown)	26
16	Fixed point theorems for Lipschitzian pseudo-contractive mappings 1972 ·Proceedings of the American Mathematical Society ·Juan A. Gatica, W. A. Kirk	27
17	Mappings of generalized contractive type 1970 ·Journal of Mathematical Analysis and Applications ·W. A. Kirk	37
18	Fixed-point theorems for certain classes of nonexpansive mappings 1969 ·Proceedings of the American Mathematical Society ·L. P. Belluce, W. A. Kirk	47
19	On nonlinear mappings of strongly semicontractive type 1969 ·Journal of Mathematical Analysis and Applications ·W. A. Kirk	28
20	Three Bronze Age Cist Burials in NE Scotland 1956 ·Proceedings of the Society of Antiquaries of Scotland ·W. A. Kirk, John L. McKenzie	5

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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