World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

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

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
Yonghong Yao
Yonghong Yao Tianjin Polytechnic University
Naseer Shahzad
Naseer Shahzad King Abdulaziz University
Yeong-Cheng Liou
Yeong-Cheng Liou Kaohsiung Medical University
Juan J. Nieto
Juan J. Nieto University of Santiago de Compostela
Simeon Reich
Simeon Reich Technion – Israel Institute of Technology
William A. Kirk
William A. Kirk University of Iowa
Ti-Jun Xiao
Ti-Jun Xiao University of Tübingen

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