World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
55
Citations
18780
World Ranking
773
National Ranking
41

Hong-Kun Xu publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Hong-Kun Xu sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 184 publications — 55th percentile

55% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Hong-Kun Xu D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Hong-Kun Xu sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 55 D-Index — 79th percentile

79% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

Overview

Hong-Kun Xu is affiliated with Hangzhou Dianzi University in China and has an extensive research profile primarily in the fields of Mathematics and Computer Science. Their work spans several subfields, including Computational Theory and Mathematics, Numerical Analysis, Applied Mathematics, Geometry and Topology, and Mathematical Physics.

Their main research topics focus on Optimization and Variational Analysis, Advanced Optimization Algorithms Research, Fixed Point Theorems Analysis, Numerical methods in inverse problems, Sparse and Compressive Sensing Techniques, Nonlinear Differential Equations Analysis, and Nonlinear Partial Differential Equations.

Hong-Kun Xu has published numerous papers in a variety of scientific venues. Frequent publication platforms include Optimization, arXiv (Cornell University), Numerical Functional Analysis and Optimization, Carpathian Journal of Mathematics, and SIAM Journal on Optimization. The notable recent papers include:

  • The Landweber Operator Approach to the Split Equality Problem, 2021, SIAM Journal on Optimization
  • Mild solutions of nonlocal semilinear evolution equations on unbounded intervals via approximation solvability method in reflexive Banach spaces, 2021, Journal of Mathematical Analysis and Applications
  • Notes on a neural network approach to inverse variational inequalities, 2020, Optimization
  • Symptom Assessment and Management in Patients with Lung Cancer Undergoing Conventional or Traditional Chinese Medicine Care, 2023, World Journal of Traditional Chinese Medicine
  • On solving variational inequalities defined on fixed point sets of multivalued mappings in Banach spaces, 2020, Journal of Fixed Point Theory and Applications

Collaboration is an important aspect of Hong-Kun Xu's academic activities. Frequent co-authors include Vũ Thị Hương, Nguyen Dong Yen, Najla Altwaijry, Souhail Chebbi, and Tiexin Guo.

In addition to articles, Hong-Kun Xu has contributed to book publications, including a work published by Frontiers Media titled "2022 Applied Mathematics and Statistics - Editor's Pick" in 2023.

Best Publications

  • Iterative Algorithms for Nonlinear Operators

    Hong-Kun Xu

  • VISCOSITY APPROXIMATION METHODS FOR NONEXPANSIVE MAPPINGS

    Hong Kun Xu

  • Inequalities in Banach spaces with applications

    Hong-Kun Xu

  • Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process

    Kok-Keong Tan;Hong-Kun Xu

  • An Iterative Approach to Quadratic Optimization

    H K Xu

  • WEAK AND STRONG CONVERGENCE THEOREMS FOR STRICT PSEUDO-CONTRACTIONS IN HILBERT SPACES

    Giuseppe Marino;Hong-Kun Xu

  • A general iterative method for nonexpansive mappings in Hilbert spaces

    Giuseppe Marino;Hong-Kun Xu

  • A variable Krasnosel'skii–Mann algorithm and the multiple-set split feasibility problem

    Unknown

  • Strong convergence of the CQ method for fixed point iteration processes

    Carlos Martinez-Yanes;Hong-Kun Xu

  • Convergence of Hybrid Steepest-Descent Methods for Variational Inequalities

    H. K. Xu;T. H. Kim

  • AN IMPLICIT ITERATION PROCESS FOR NONEXPANSIVE MAPPINGS

    Hong-Kun Xu;Ramesh G. Ori

  • Averaged Mappings and the Gradient-Projection Algorithm

    Hong-Kun Xu;Hong-Kun Xu

  • Strong convergence of modified Mann iterations

    Tae-Hwa Kim;Hong-Kun Xu

  • Fixed point iteration processes for asymptotically nonexpansive mappings

    Kok-Keong Tan;Hong Kun Xu

  • Iterative methods for strict pseudo-contractions in Hilbert spaces

    Genaro Lopez Acedo;Hong-Kun Xu

  • Fixed point theorems for asymptotically nonexpansive mappings

    Teck-Cheong Lim;Hong-Kun Xu

  • Strong convergence of an iterative method for nonexpansive and accretive operators

    Hong-Kun Xu

  • Cyclic algorithms for split feasibility problems in Hilbert spaces

    Fenghui Wang;Hong-Kun Xu;Hong-Kun Xu

  • Strong convergence of modified Mann iterations for asymptotically nonexpansive mappings and semigroups

    Tae-Hwa Kim;Hong-Kun Xu

  • Existence and convergence for fixed points of mappings of asymptotically nonexpansive type

    Hong-Kun Xu

  • An iterative method for finding common solutions of equilibrium and fixed point problems

    Vittorio Colao;Giuseppe Marino;Hong-Kun Xu

Frequent Co-Authors

Lu-Chuan Ceng
Lu-Chuan Ceng Shanghai Normal University
Jen-Chih Yao
Jen-Chih Yao China Medical University
Naseer Shahzad
Naseer Shahzad King Abdulaziz University
Yonghong Yao
Yonghong Yao Tianjin Polytechnic University
Simeon Reich
Simeon Reich Technion – Israel Institute of Technology
Juan J. Nieto
Juan J. Nieto University of Santiago de Compostela
Yeong-Cheng Liou
Yeong-Cheng Liou Kaohsiung Medical University
Jin Liang
Jin Liang Shanghai Jiao Tong University
William A. Kirk
William A. Kirk University of Iowa
Ti-Jun Xiao
Ti-Jun Xiao University of Tübingen

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