Hong‐Kun Xu

14.2k total citations · 10 hit papers
185 papers, 10.6k citations indexed

About

Hong‐Kun Xu is a scholar working on Computational Theory and Mathematics, Numerical Analysis and Geometry and Topology. According to data from OpenAlex, Hong‐Kun Xu has authored 185 papers receiving a total of 10.6k indexed citations (citations by other indexed papers that have themselves been cited), including 147 papers in Computational Theory and Mathematics, 90 papers in Numerical Analysis and 85 papers in Geometry and Topology. Recurrent topics in Hong‐Kun Xu's work include Optimization and Variational Analysis (140 papers), Fixed Point Theorems Analysis (84 papers) and Advanced Optimization Algorithms Research (82 papers). Hong‐Kun Xu is often cited by papers focused on Optimization and Variational Analysis (140 papers), Fixed Point Theorems Analysis (84 papers) and Advanced Optimization Algorithms Research (82 papers). Hong‐Kun Xu collaborates with scholars based in China, Taiwan and South Africa. Hong‐Kun Xu's co-authors include Giuseppe Marino, Kok Kiong Tan, Fenghui Wang, Genaro López-Acedo, Tae-Hwa Kim, Kok-Keong Tan, Victoria Martín-Márquez, Teck-Cheong Lim, Jen‐Chih Yao and Vittorio Colao and has published in prestigious journals such as SHILAP Revista de lepidopterología, Mathematics of Computation and Chemical Science.

In The Last Decade

Hong‐Kun Xu

174 papers receiving 9.7k citations

Hit Papers

Iterative Algorithms for Nonlinear Operators 1991 2026 2002 2014 2002 1991 2004 1993 2003 400 800 1.2k
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. Iterative Algorithms for Nonlinear Operators
    2002 1.2k citations Hong‐Kun Xu profile →
  2. Inequalities in Banach spaces with applications
    1991 816 citations Hong‐Kun Xu profile →
  3. Viscosity approximation methods for nonexpansive mappings
    2004 703 citations Hong‐Kun Xu Journal of Mathematical Analysis and Applications profile →
  4. Approximating Fixed Points of Nonexpansive Mappings by the Ishikawa Iteration Process
    1993 598 citations Hong‐Kun Xu et al. Journal of Mathematical Analysis and Applications profile →
  5. An Iterative Approach to Quadratic Optimization
    2003 478 citations Hong‐Kun Xu profile →
  6. Iterative methods for the split feasibility problem in infinite-dimensional Hilbert spaces
    2010 412 citations Hong‐Kun Xu profile →
  7. Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces
    2006 383 citations Giuseppe Marino, Hong‐Kun Xu Journal of Mathematical Analysis and Applications profile →
  8. A general iterative method for nonexpansive mappings in Hilbert spaces
    2005 382 citations Giuseppe Marino, Hong‐Kun Xu Journal of Mathematical Analysis and Applications profile →
  9. A variable Krasnosel'skii–Mann algorithm and the multiple-set split feasibility problem
    2006 329 citations Hong‐Kun Xu profile →
  10. Solving the split feasibility problem without prior knowledge of matrix norms
    2012 275 citations Genaro López-Acedo, Fenghui Wang et al. profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Hong‐Kun Xu China 44 9.9k 7.3k 6.7k 1.2k 1.1k 185 10.6k
Simeon Reich Israel 50 10.1k 1.0× 6.1k 0.8× 7.9k 1.2× 2.0k 1.7× 2.6k 2.4× 415 12.6k
Boris S. Mordukhovich United States 41 6.6k 0.7× 4.3k 0.6× 1.7k 0.3× 900 0.8× 1.2k 1.2× 264 7.5k
W. A. Kirk United States 34 5.7k 0.6× 2.4k 0.3× 6.4k 1.0× 1.2k 1.0× 1.9k 1.8× 122 7.8k
Alfredo N. Iusem Brazil 34 3.3k 0.3× 2.7k 0.4× 934 0.1× 465 0.4× 392 0.4× 137 4.0k
Asen L. Dontchev United States 30 2.6k 0.3× 2.1k 0.3× 749 0.1× 414 0.4× 616 0.6× 96 3.8k
Qamrul Hasan Ansari India 37 4.0k 0.4× 2.4k 0.3× 1.8k 0.3× 127 0.1× 580 0.5× 211 4.2k
Nan‐jing Huang China 34 4.2k 0.4× 1.5k 0.2× 1.5k 0.2× 131 0.1× 805 0.8× 363 4.9k
Naseer Shahzad Saudi Arabia 36 2.9k 0.3× 1.4k 0.2× 4.7k 0.7× 208 0.2× 790 0.7× 290 5.4k
A. D. Ioffe Israel 26 2.3k 0.2× 1.2k 0.2× 849 0.1× 580 0.5× 782 0.7× 87 2.6k
W. V. Petryshyn United States 26 2.3k 0.2× 1.3k 0.2× 1.7k 0.3× 598 0.5× 1.1k 1.1× 87 3.2k

Countries citing papers authored by Hong‐Kun Xu

Since Specialization
Citations

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

Fields of papers citing papers by Hong‐Kun Xu

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Hong‐Kun Xu. 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 Hong‐Kun Xu. The network helps show where Hong‐Kun Xu may publish in the future.

Co-authorship network of co-authors of Hong‐Kun Xu

This figure shows the co-authorship network connecting the top 25 collaborators of Hong‐Kun Xu. A scholar is included among the top collaborators of Hong‐Kun Xu 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 Hong‐Kun Xu. Hong‐Kun Xu 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.
Xu, Hong‐Kun, et al.. (2025). Stability analysis of split equality and split feasibility problems. Journal of Global Optimization. 92(2). 411–429. 1 indexed citations
2.
Guo, Tiexin, Yachao Wang, Hong‐Kun Xu, George Xianzhi Yuan, & Goong Chen. (2024). A noncompact Schauder fixed point theorem in random normed modules and its applications. Mathematische Annalen. 391(3). 3863–3911. 2 indexed citations
3.
Xu, Hong‐Kun, et al.. (2022). The viscosity approximation method for accretive operators in Banach spaces. Journal of Nonlinear and Variational Analysis. 6(1). 1 indexed citations
4.
Guo, Tiexin, Yachao Wang, Hong‐Kun Xu, & George Xianzhi Yuan. (2021). The Schauder fixed point theorem in random normed modules. arXiv (Cornell University).
5.
López-Acedo, Genaro & Hong‐Kun Xu. (2016). Remarks on multivalued nonexpansive mappings. LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas). 3 indexed citations
6.
Colao, Vittorio, Luigi Muglia, & Hong‐Kun Xu. (2016). An existence result for a new class of impulsive functional differential equations with delay. Journal of Mathematical Analysis and Applications. 441(2). 668–683. 23 indexed citations
7.
Yao, Yonghong, Giuseppe Marino, Hong‐Kun Xu, & Yeong‐Cheng Liou. (2014). Construction of minimum-norm fixed points of pseudocontractions in Hilbert spaces. Journal of Inequalities and Applications. 2014(1). 10 indexed citations
8.
Wu, Jianhua, et al.. (2013). Spatial pattern in an ecosystem of phytoplankton–nutrient from remote sensing. Journal of Mathematical Analysis and Applications. 402(1). 23–34. 5 indexed citations
9.
Wang, Fenghui & Hong‐Kun Xu. (2012). WEAK AND STRONG CONVERGENCE THEOREMS FOR VARIATIONAL INEQUALITY AND FIXED POINT PROBLEMS WITH TSENG’S EXTRAGRADIENT METHOD. Taiwanese Journal of Mathematics. 16(3). 1125–1136. 13 indexed citations
10.
Wu, Jianhua, et al.. (2011). POSITIVE SOLUTIONS FOR A PREDATOR-PREY INTERACTION MODEL WITH HOLLING-TYPE FUNCTIONAL RESPONSE AND DIFFUSION. Taiwanese Journal of Mathematics. 15(5). 2013–2034. 2 indexed citations
11.
Chen, Rudong, Yongfu Su, & Hong‐Kun Xu. (2009). REGULARIZATION AND ITERATION METHODS FOR A CLASS OF MONOTONE VARIATIONAL INEQUALITIES. Taiwanese Journal of Mathematics. 13. 739–752. 11 indexed citations
12.
Wei, Guangsheng & Hong‐Kun Xu. (2009). On the missing eigenvalue problem for an inverse Sturm–Liouville problem. Journal de Mathématiques Pures et Appliquées. 91(5). 468–475. 33 indexed citations
13.
Xu, Hong‐Kun. (2005). A strong convergence theorem for contraction semigroups in Banach spaces. Bulletin of the Australian Mathematical Society. 72(3). 371–379. 59 indexed citations
14.
Xu, Hong‐Kun. (2004). Viscosity approximation methods for nonexpansive mappings. Journal of Mathematical Analysis and Applications. 298(1). 279–291. 703 indexed citations breakdown →
15.
Li, Chong & Hong‐Kun Xu. (2003). Porosity of mutually nearest and mutually furthest points in Banach spaces. Journal of Approximation Theory. 125(1). 10–25. 7 indexed citations
16.
Xu, Hong‐Kun. (2000). ON THE PALAIS-SMALE CONDITION FOR NONDIFFERENTIABLE FUNCTIONALS. Taiwanese Journal of Mathematics. 4(4). 627–634. 1 indexed citations
17.
Sims, Brailey, Hong‐Kun Xu, & George Xianzhi Yuan. (1999). The homotopic invariance for fixed points of set-valued nonexpansive mappings. Queensland's institutional digital repository (The University of Queensland). 1(1). 55–65. 4 indexed citations
18.
Tan, Kok-Keong & Hong‐Kun Xu. (1994). Fixed Point Iteration Processes for Asymptotically Nonexpansive Mappings. Proceedings of the American Mathematical Society. 122(3). 733–733. 29 indexed citations
19.
Xu, Hong‐Kun. (1993). A Random Fixed Point Theorem for Multivalued Nonexpansive Operators in Uniformly Convex Banach Spaces. Proceedings of the American Mathematical Society. 117(4). 1089–1089. 3 indexed citations
20.
Xu, Hong‐Kun. (1990). Fixed point theorems for uniformly Lipschitzian semigroups in uniformly convex spaces. Journal of Mathematical Analysis and Applications. 152(2). 391–398. 14 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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