Personal Information
Name: Hong-Kun Xu
Position: Distinguished Professor
Office: Room 200-2, Building 6, School of Science, HangzhouDianzi University, Xiasha Campus, Hangzhou 310018, China
Tel: (+86)-(0)571-86873875 (work);(+86) 15356199736 (cell)
E-mail: xuhk@hdu.edu.cn
Education
B.S., Zhejiang Normal University,1982
M.S., Zhejiang University, 1985
Ph.D., Xi’an JiaotongUniversity, 1988
Working Experience
Lecturer and Associate Professor,East China University of Science and Technology, Shanghai, China,May 1988-Sep 1992
Visiting Professor, Universidad deSevilla, Sevilla, Spain, Oct 1992-Jul 1993
Postdoctoral Fellow, DalhousieUniversity, Halifax, Canada, Aug 1993-Jul 1994
Associate, Full, and SeniorProfessor, University of KwaZulu-Natal, Durban, South Africa, Aug1994-Dec 2007
Professor, King Saud University,Riyadh, Saudi Arabia, Feb 1999-Jul 2000
Xiwan Chair Professor, Sun Yat-senUniversity, Kaohsiung, Taiwan, China, Jan 2008-Jun 2014
Distinguished Professor, HangzhouDianzi University, Hangzhou, China, Jul 2014-present
Research Interest
Nonlinear functional ****ysis anddifferential equations
Geometry of Banach spaces
Optimization theory and algorithms
Fixed point theory and itsapplications
Nonlinear operator equations andtheir iterative methods
Regularization and iterativemethods for inverse problems
Financial mathematics
Honor
Member, the Academy of Science ofSouth Africa (ASSAf), elected 2005.
Fellow, the Academy of Sciencesfor the Developing World (TWAS), elected 2012.
Highly Cited Researcher, ThomsonReuters, 2014-2016; Clarivate Analytics, 2017-2018
Chinese Most Cited Researcher,Elsevier, 2019
Editorial Board
Carpathian Journal of Mathematics(SCI) (Cluj-Napoca, Romania)
Fixed Point Theory (SCI)(Cluj-Napoca, Romania)
Journal of Nonlinear and ConvexAnalysis (SCI) (Yokohama, Japan)
Numerical Functional Analysis andOptimization (SCI) (Taylor and Francis)
Optimization, A Journal ofMathematical Programming and Operations Research (SCI) (Taylor andFrancis)
Afrika Matematika (SpringerNature)
Contemporary Mathematics and ItsApplications: Monographs, Expositions and Lecture Notes (ScientificWorld)
Fixed Point Theory and Algorithmsfor the Sciences and Engineering (Springer Nature),(co-Editor-in-Chief)
Frontiers in Applied Mathematicsand Statistics, Section Editor (Frontiers, Switzerland)
International Journal ofOptimization and Control: Theories and Applications (Turkey)
Journal of Applied Analysis (deGruyter)
Journal of Nonlinear andVariational Analysis (Biemdas Academic, Canada)
Linear and Nonlinear Analysis(Yokohama, Japan)
Pure and Applied FunctionalAnalysis (Yokohama, Japan)
Selected Addresses (since 2007)
The Fifth InternationalConferences on Nonlinear Analysis and Convex Analysis, NationalTsing Hua University, Hsingchu, Taiwan, May 31-June 4, 2007.(Invited speaker.)
The 8th International Conferenceon Fixed Point Theory and Its Applications, Chiang Mai University,Chiang Mai, Thailand, July 16-22, 2007. (Keynote speaker.)
Functional Analysis: Methods andApplications, University of Calabria, Cosenza, Italy, June 4-7,2008. (Invited speaker.)
Conference on Nonlinear Analysisand Optimization, Technion-Israel institute of Technology, Haifa,Israel, June 18-24, 2008. (Invited speaker.)
The 9th International Conferenceon Fixed Point Theory and Its Applications, National ChanghuaUniversity of Education, Changhua, Taiwan, July 16-22, 2009.(Keynote speaker.)
Workshop on Functional Analysisand Optimization, Universidad de Sevilla, Sevilla, Spain, April12-13, 2010. (Keynote speaker.)
The Second Asian Conference onNonlinear Analysis and Optimization, Phuket, Thailand, September9-12, 2010. (Invited speaker.)
The Workshop on ScientificComputing, University of Macau, Macao, December 10-12, 2011.(Invited speaker.)
International Conference on JordanTheory, Analysis and Related Topics, Chinese University of HongKong, Hong Kong, April 30-May 4, 2012. (Invited speaker.)
International Conference onNonlinear Analysis and Optimization: Theory, Algorithms andApplications in Science and Engineering, Tianjin, August 13-15,2012. (Plenary speaker.)
International Conference onInverse Problems and Related Topics, Southeast University, Nanjing,China, October 21-26, 2012. (Plenary speaker.)
The Fourth Workshop on NumericalAlgebra and High Performance, University of Macau, Macao, December8-10, 2012. (Invited speaker.)
The International Symposium onNonlinear Analysis and Optimization, Pukyong National University,Busan, Korea, Jan 31-Feb 2, 2013. (Invited speaker.)
International Conference onAnalytic Mathematics and its Applications (ICAMA'2013), Tianjin,China, August 1-4, 2013. (Plenary speaker.)
International Workshop and SummerSchool on Variational Analysis and Approximation Theory, Hanoi,Vietnam, May 12-17, 2014. (Invited speaker.)
The Fourth Asian Conference onNonlinear Analysis and Optimization, National Taiwan NormalUniversity, Taipei, Taiwan, August 5-9, 2014. (Invited speaker.)
The 11th International Conferenceon Fixed Point Theory and its Applications, Galatasaray University,Istanbul, Turkey, July 20-24, 2015. (Plenary speaker.)
The 5th International Conferenceon Analytic Mathematics and its Applications, Harbin University ofScience and Technology, Harbin, China, August 12-16, 2015. (Plenaryspeaker.)
International Conference onAnalysis and Its Applications, Ahi Evran University, Kirsehir,Turkey, July 11-15, 2016. (Plenary speaker.)
The Fifth Asian Conference onNonlinear Analysis and Optimization, Niigata University, Niigata,Japan, August 1-6, 2016. (Plenary speaker.)
International Workshop onNonlinear Analysis and Convex Analysis, Kyoto University, Kyoto,Japan, August 31-September 2, 2016. (Plenary speaker.)
The 10th Anniversary Conference onNonlinear Analysis and Convex Analysis, Chitose City Cultural CenterHokkaido (Chitose), Japan, July 4-8, 2017. (Plenary speaker.)
The 2017 Workshop on ComputationalMathematics and Scientific Computing, University of Macau, May20-22, 2017. (Invited speaker.)
The 12th International Conferenceon Fixed Point Theory and Applications, Newcastle, Australia, 24-28July 2017. (Plenary speaker.)
The German-Israeli ResearchWorkshop on Optimization, The Technion-Israel Institute ofTechnology, Haifa, Israel, October 16-19, 2017. (Invited speaker.)
The International Workshop onNonlinear and Variational Analysis, Chengdu, China, April 11-13,2018. (Plenary speaker.)
The Workshop on Fixed Points andApplications, RMIT University, Melbourne, Australia, May 21, 2018. (Invited speaker.)
The Workshop on DifferentialEquations on Networks and Related Problems, Zhejiang University,Hangzhou, China, July 13-14, 2018. (Invited speaker.)
The International Workshop onOperator Theory and Applications, East China Normal University,Shanghai, China, July 23-27, 2018. (Invited speaker.)
The Eighth InternationalConference on Nonlinear Analysis and Optimization: Theory,Algorithms and Applications, Kunming, China, July 24-27, 2018.(Plenary speaker.)
The 6th Asian Conference onNonlinear Analysis and Optimization, Okinawa, Japan, November 5-9,2018. (Plenary speaker.)
The International Workshop onVariational Analysis and Related Topics, Hanoi PedagogicalUniversity 2, Hanoi, Vietnam, December 13-15, 2018. (Invitedspeaker.)
The 13th InternationalConference on Fixed Point Theory and Its Applications, Xinxiang,China, July 9-13, 2019. (Plenary speaker.)
International Conference onNonlinear and Variational Analysis, Tianjin, China, July 14-16,2019. (Plenary speaker.)
The 2019 Workshop on Metric Boundsand Transversality, Melbourne, Australia, Dec 8-10, 2019. (Invitedspeaker.)
Selected Publications
An L_p inequality and itsapplications to fixed point theory and approximation theory (withZ.B. Xu), Proceedings of the Royal Society of Edinburgh, 112A(1989), 343-351.
Maluta's question on sequencecoefficients in Banach spaces, Kexue Tongbao, 34 (1989), 725-726 (InChinese); Chinese Science Bulletin, 35 (1990), 2025-2027.
Inequalities in Banach spaces withapplications, Nonlinear Analysis, Theory, Methods and Applications,16 (1991), 1127-1138.
An ergodic theorem for nonlinearsemigroups of Lipschitzian mappings in Banach spaces (with K.K.Tan), Nonlinear Analysis, Theory, Methods and Applications, 19(1992), 805-813.
A new geometrical coefficient forBanach spaces and its applications in fixed point theory (with T.Dominguez Benavides), Nonlinear Analysis: Theory, Methods andApplications, 25 (1995), 311-325.
Approximating curves ofnonexpansive nonself mappings in Banach spaces, C.R. Academie desSciences, Paris, t. 325, Serie I, 1997, 151-156.
Boundary value problems forfunctional differential equations (with E. Liz), Nonlinear Analysis,Theory, Methods, and Applications, 41 (2000), 971-988.
Metric fixed point theory formultivalued mappings, Dissertationes Mathematicae, Vol. 389,December 2000, 39pp.
Iterative algorithms for nonlinearoperators, Journal of London Mathematical Society, 66 (2002), no. 2,240-256.
Iterative solutions for zeros ofaccretive operators (with T. Dominguez Benavides, G. Lopez Acedo),Mathematische Nachrichten, 248-249 (2003), 62-71.
Convergence of hybrid steepestdescent methods for variational inequalities (with T.H. Kim),Journal of Optimization Theory and Applications, 119 (2003), no. 1,184-201.
Viscosity approximation methodsfor nonexpansive mappings, Journal of Mathematical Analysis andApplications, 298 (2004), 279-291.
Iterative approaches to convexfeasibility problems in Banach spaces (with J.G. O'Hara and P.Pillay), Nonlinear Analysis, Theory, Methods, and Applications, 64(2006), 2022-2042.
A regularization method for theproximal point algorithm, Journal of Global Optimization, 36 (2006),115-125.
A variable Krasnoselskii-Mannalgorithm and the multiple-set split feasibility problem, InverseProblems, 22 (2006), 2021-2034.
Perturbation techniques fornonexpansive mappings with applications (with G. Lopez and V.Martin), Nonlinear Analysis, Real World Applications, 10 (2009), no.4, 2369-2383.
On the missing eigenvalue problemfor an inverse Sturm-Liouville problem (with G. Wei), Journal deMathematiques Pures et Appliquees, 91 (2009), no. 5, 468-475.
Iterative methods for the splitfeasibility problem in infinite-dimensional Hilbert spaces, InverseProblems, 26 (2010) 105018 (17pp)
Inverse spectral problem forstring equation with partial information (with G. Wei), InverseProblems, 26 (2010) 115004 (14 pp).
Averaged mappings and thegradient-projection algorithm, Journal of Optimization Theory andApplications, 150 (2011), no. 2, 360-378.
Cyclic algorithms for splitfeasibility problems in Hilbert Spaces (with F. Wang), NonlinearAnalysis, Theory, Methods $\&$ Applications, 74 (2011),4015-4111.
Inverse spectral problem forstring equation with partial information on the potential andnorming constants (with G. Wei), Transactions of the AmericanMathematical Society, 364 (2012), no. 6, 3265-3288.
Uniqueness of supportinghyperplanes and an alternative to solutions of variationalinequalities (with S. He), Journal of Global Optimization, 57(2013), 1375-1384.
Inverse spectral ****ysis for thetran**ission eigenvalue problem (with G. Wei), Inverse Problems, 29(2013) 115012 (24pp).
Properties and iterative methodsfor the Lasso and its variants, Chinese Annals of Mathematics, Ser.B, 35 (2014), no. 3, 501-518.
On the missing bound state data ofinverse spectral-scattering problems on the half-line (with G. Wei),Inverse Problems and Imaging, 9 (2015), no. 1, 239-255.
Pricing Asian options via Taylorapproximations (with C.C. Lai), Journal of Nonlinear and ConvexAnalysis, 16 (2015), no. 10, 2067-2086.
An implementable splittingalgorithm for the L1-norm regularized split feasibility problem(with H. He and C. Ling), Journal of Scientific Computing, 67(2016), no. 1, 281-298.
Existence of solutions for asecond-order differential equation with non-instantaneous impulsesand delay (with V. Colao and L. Muglia), Annali di Matematica Puraed Applicata, 195 (2016), no. 3, 697-716.
Bounded perturbation resilienceand superiorization techniques for the projected scaled gradientmethod, Inverse Problems, 33 (2017) 044008 (19pp).
Perturbation resilience andsuperiorization methodology of averaged mappings (with H. He),Inverse Problems, 33 (2017) 044007 (11pp).
Splitting methods for splitfeasibility problems with application to Dantzig selectors with (H.He), Inverse Problems, 33 (2017) 055003 (28pp).
A partially isochronous splittingalgorithm for three-block separable convex minimization problems(with H. He and L. Hou), Advances in Computational Mathematics, 44(2018), 1091-1115.
Cauchy problem of semilinearinhomogeneous elliptic equation of Matukuma-type with multiplegrowth terms (with Y. Jia, Y. Li, and J. Wu), Discrete andContinuous Dynamical Systems 40 (2020), no. 6, 3485-3507.
Proximal methods for reweighted$l_Q$-regularization of sparse signal recovery (with B. Peng),Applied Mathematics and Computation, 386 (2020) 125408.
Funding Agencies
South African National ResearchFoundation (NRF)
Taiwan Science Council (NSC)
Australian Research Council (ARC)
National Natural Foundation of China(NNFC)