Works by HONG-KUN XU

Results: 76

New accelerated splitting algorithm for monotone inclusion problems.

Published in:

Optimization, 2025, v. 74, n. 3, p. 781, doi. 10.1080/02331934.2023.2267065

By:

Jolaoso, Lateef O.;
Shehu, Yekini;
Xu, Hong-Kun

Publication type:

Article

New formulas for subdifferentials of perturbed distance functions.

Published in:

Optimization, 2024, v. 73, n. 6, p. 1833, doi. 10.1080/02331934.2023.2178849

By:

Huong, Vu Thi;
Xu, Hong-Kun

Publication type:

Article

Preface.

Published in:

Optimization, 2021, v. 70, n. 5/6, p. 899, doi. 10.1080/02331934.2021.1890905

By:

Benavides, Tomas Dominguez;
Sims, Brailey;
Tammer, Christiane;
Xu, Hong-Kun

Publication type:

Article

Notes on a neural network approach to inverse variational inequalities.

Published in:

Optimization, 2021, v. 70, n. 5/6, p. 901, doi. 10.1080/02331934.2019.1705822

By:

Xu, Hong-Kun;
Dey, Soumitra;
Vetrivel, V.

Publication type:

Article

Matrix approaches to approximate solutions of variational inequalities in Hilbert spaces.

Published in:

Optimization, 2016, v. 65, n. 6, p. 1259, doi. 10.1080/02331934.2015.1091824

By:

Cianciaruso, Filomena;
Marino, Giuseppe;
Muglia, Luigi;
Xu, Hong-Kun

Publication type:

Article

Ergodicity of the implicit midpoint rule for nonexpansive mappings.

Published in:

Journal of Inequalities & Applications, 2015, v. 2015, n. 1, p. 1, doi. 10.1186/1029-242X-2015-4

By:

Xu, Hong-Kun;
Alghamdi, Maryam;
Shahzad, Naseer

Publication type:

Article

Approximating Curve and Strong Convergence of the CQ Algorithm for the Split Feasibility Problem.

Published in:

Journal of Inequalities & Applications, 2010, v. 2010, p. 1, doi. 10.1155/2010/102085

By:

Fenghui Wang;
Hong-Kun Xu

Publication type:

Article

Krasnoselskii–Mann Viscosity Approximation Method for Nonexpansive Mappings.

Published in:

Mathematics (2227-7390), 2020, v. 8, n. 7, p. 1153, doi. 10.3390/math8071153

By:

Altwaijry, Najla;
Aldhaban, Tahani;
Chebbi, Souhail;
Xu, Hong-Kun

Publication type:

Article

Strong Convergence of Mann's Iteration Process in Banach Spaces.

Published in:

Mathematics (2227-7390), 2020, v. 8, n. 6, p. 954, doi. 10.3390/math8060954

By:

Xu, Hong-Kun;
Altwaijry, Najla;
Chebbi, Souhail

Publication type:

Article

Left-definite problems of regular self-adjoint differential equations of even order.

Published in:

Mathematische Nachrichten, 2011, v. 284, n. 2/3, p. 381, doi. 10.1002/mana.200710195

By:

Wei, Guangsheng;
Xu, Hong-Kun

Publication type:

Article

Periodicity of solutions to the Cauchy problem for nonautonomous impulsive delay evolution equations in Banach spaces.

Published in:

Analysis & Applications, 2017, v. 15, n. 4, p. 457, doi. 10.1142/S0219530515500281

By:

Liang, Jin;
Liu, James H.;
Xiao, Ti-Jun;
Xu, Hong-Kun

Publication type:

Article

A noncompact Schauder fixed point theorem in random normed modules and its applications.

Published in:

Mathematische Annalen, 2025, v. 391, n. 3, p. 3863, doi. 10.1007/s00208-024-03017-1

By:

Guo, Tiexin;
Wang, Yachao;
Xu, Hong-Kun;
Yuan, George Xianzhi;
Chen, Goong

Publication type:

Article

THE VISCOSITY APPROXIMATION METHOD FOR ACCRETIVE OPERATORS IN BANACH SPACES.

Published in:

Journal of Nonlinear & Variational Analysis, 2022, v. 6, n. 1, p. 37, doi. 10.23952/jnva.6.2022.1.03

By:

HONG-KUN XU;
ALTWAIJRY, NAJLA;
ALZUGHAIBI, IMTITHAL;
CHEBBI, SOUHAIL

Publication type:

Article

Convergence of Halpern's Iteration Method with Applications in Optimization.

Published in:

Numerical Functional Analysis & Optimization, 2021, v. 42, n. 15, p. 1839, doi. 10.1080/01630563.2021.2001826

By:

Qi, Huiqiang;
Xu, Hong-Kun

Publication type:

Article

Preface.

Published in:

Numerical Functional Analysis & Optimization, 2021, v. 42, n. 13, p. 1490, doi. 10.1080/01630563.2021.2006699

By:

Takahashi, Wataru;
Nashed, Zuhair;
Xu, Hong-Kun

Publication type:

Article

Strong Convergence of an Iterative Method with Perturbed Mappings for Nonexpansive and Accretive Operators.

Published in:

Numerical Functional Analysis & Optimization, 2008, v. 29, n. 3/4, p. 324, doi. 10.1080/01630560801998203

By:

Ceng, Lu-Chuan;
Xu, Hong-Kun;
Yao, Jen-Chih

Publication type:

Article

Iterative Approaches to Convex Minimization Problems.

Published in:

Numerical Functional Analysis & Optimization, 2004, v. 25, n. 5/6, p. 531, doi. 10.1081/NFA-200041707

By:

O'Hara, John G.;
Pillay, Paranjothi;
Xu, Hong-Kun

Publication type:

Article

ON ALMOST WELL-POSED MUTUALLY NEAREST AND MUTUALLY FURTHEST POINT PROBLEMS.

Published in:

Numerical Functional Analysis & Optimization, 2002, v. 23, n. 3/4, p. 323, doi. 10.1081/NFA-120006696

By:

Li, Chong;
Xu, Hong-Kun

Publication type:

Article

AN IMPLICIT ITERATION PROCESS FOR NONEXPANSIVE MAPPINGS.

Published in:

Numerical Functional Analysis & Optimization, 2001, v. 22, n. 5/6, p. 767, doi. 10.1081/NFA-100105317

By:

Xu, Hong-Kun;
Ori, Ramesh

Publication type:

Article

Approximations to fixed points of contraction semigroups in hilbert spaces.

Published in:

Numerical Functional Analysis & Optimization, 1998, v. 19, n. 1/2, p. 157, doi. 10.1080/01630569808816821

By:

Xu, Hong-Kun

Publication type:

Article

Weak and Strong Convergence of Two Algorithms for the Split Fixed Point Problem.

Published in:

Numerical Mathematics: Theory, Methods & Applications, 2018, v. 11, n. 4, p. 770, doi. 10.4208/nmtma.2018.s05

By:

Fenghui Wang;
Hong-Kun Xu

Publication type:

Article

Optimal selections of stepsizes and blocks for the block-iterative ART.

Published in:

Applicable Analysis, 2021, v. 100, n. 2, p. 403, doi. 10.1080/00036811.2019.1607314

By:

He, Songnian;
Liu, Lili;
Xu, Hong-Kun

Publication type:

Article

A hybrid steepest-descent method for variational inequalities in Hilbert spaces.

Published in:

Applicable Analysis, 2008, v. 87, n. 5, p. 575, doi. 10.1080/00036810802140608

By:

Ceng, Lu-Chuan;
Xu, Hong-Kun;
Yao, Jen-Chih

Publication type:

Article

Existence Results for Quasilinear Elliptic Equations with Discontinuous Nonlinearities.

Published in:

Applicable Analysis, 2002, v. 81, n. 2, p. 179, doi. 10.1080/0003681021000021916

By:

Xu, Hong-Kun

Publication type:

Article

ON THE MISSING BOUND STATE DATA OF INVERSE SPECTRAL-SCATTERING PROBLEMS ON THE HALF-LINE.

Published in:

Inverse Problems & Imaging, 2015, v. 9, n. 1, p. 239, doi. 10.3934/ipi.2015.9.239

By:

GUANGSHENG WEI;
HONG-KUN XU

Publication type:

Article

Correction to: A partially isochronous splitting algorithm for three-block separable convex minimization problems.

Published in:

2018

By:

He, Hongjin;
Hou, Liusheng;
Xu, Hong-Kun

Publication type:

Correction Notice

A partially isochronous splitting algorithm for three-block separable convex minimization problems.

Published in:

Advances in Computational Mathematics, 2018, v. 44, n. 4, p. 1091, doi. 10.1007/s10444-017-9574-4

By:

He, Hongjin;
Hou, Liusheng;
Xu, Hong-Kun

Publication type:

Article

Cauchy problem of semilinear inhomogeneous elliptic equations of Matukuma-type with multiple growth terms.

Published in:

Discrete & Continuous Dynamical Systems: Series A, 2020, v. 40, n. 6, p. 3485, doi. 10.3934/dcds.2019227

By:

Jia, Yunfeng;
Li, Yi;
Wu, Jianhua;
Xu, Hong-Kun

Publication type:

Article

Uncertain Variational Inequalities Based on Chance Constraints.

Published in:

Journal of Optimization Theory & Applications, 2025, v. 206, n. 1, p. 1, doi. 10.1007/s10957-025-02668-7

By:

Chen, Qiqiong;
Wang, Xuhuan;
Feng, Xiaoliang;
Xu, Hong-Kun

Publication type:

Article

Error Sensitivity for Strongly Convergent Modifications of the Proximal Point Algorithm.

Published in:

Journal of Optimization Theory & Applications, 2016, v. 168, n. 3, p. 901, doi. 10.1007/s10957-015-0835-4

By:

Wang, Yamin;
Wang, Fenghui;
Xu, Hong-Kun

Publication type:

Article

A partially proximal linearized alternating minimization method for finding Dantzig selectors.

Published in:

Computational & Applied Mathematics, 2021, v. 40, n. 2, p. 1, doi. 10.1007/s40314-021-01450-5

By:

Mao, Xiaoyu;
He, Hongjin;
Xu, Hong-Kun

Publication type:

Article

Relaxed Viscosity Approximation Methods with Regularization for Constrained Minimization Problems.

Published in:

Journal of Applied Mathematics, 2013, p. 1, doi. 10.1155/2013/531859

By:

Lu-Chuan Ceng;
Hong-Kun Xu;
Ching-Feng Wen

Publication type:

Article

On Nonlinear Neutral Fractional Integrodifferential Inclusions with Infinite Delay.

Published in:

Journal of Applied Mathematics, 2012, p. 1, doi. 10.1155/2012/916543

By:

Fang Li;
iao, Ti-Jun;
Xu, Hong-Kun

Publication type:

Article

Numerical and Analytical Methods for Variational Inequalities and Related Problems with Applications.

Published in:

Journal of Applied Mathematics, 2012, p. 1, doi. 10.1155/2012/684104

By:

Zhenyu Huang;
Mohapatra, Ram N.;
Noor, Muhammad Aslam;
Xu, Hong-Kun;
Qingzhi Yang

Publication type:

Article

Noncompact Equilibrium Points and Applications.

Published in:

Journal of Applied Mathematics, 2012, p. 1, doi. 10.1155/2012/373462

By:

Al-Rumaih, Zahra;
Chebbi, Souhail;
Hong Kun Xu

Publication type:

Article

STRONG CONVERGENCE OF PROJECTED SUBGRADIENT METHODS IN INFINITE-DIMENSIONAL HILBERT SPACES.

Published in:

Fixed Point Theory, 2025, v. 26, n. 2, p. 497, doi. 10.24193/fpt-ro.2025.2.10

By:

YUNSHU FU;
HONG-KUN XU

Publication type:

Article

PRIMAL-DUAL FIXED POINT METHODS FOR REGULARIZED LEAST-SQUARES PROBLEMS.

Published in:

Fixed Point Theory, 2023, v. 24, n. 2, p. 661, doi. 10.24193/fpt-ro.2023.2.13

By:

GUOHUI LIU;
HONG-KUN XU

Publication type:

Article

PROPERTIES AND ITERATIVE METHODS FOR THE ELASTIC NET WITH ℓ<sub>p</sub>-NORM ERRORS.

Published in:

Fixed Point Theory, 2020, v. 21, n. 2, p. 805, doi. 10.24193/fpt-ro.2020.2.57

By:

LILING WEI;
HONG-KUN XU

Publication type:

Article

A STRONGLY CONVERGENT MODIFICATION OF THE PROXIMAL POINT ALGORITHM IN NONSMOOTH BANACH SPACES.

Published in:

Fixed Point Theory, 2018, v. 19, n. 1, p. 107, doi. 10.24193/fpt-ro.2018.1.09

By:

CHEBBI, SOUHAIL;
ALTWAIJRY, NAJLA;
HONG-KUN XU

Publication type:

Article

THE IMPLICIT MIDPOINT RULE FOR NONEXPANSIVE MAPPINGS IN BANACH SPACES.

Published in:

Fixed Point Theory, 2016, v. 17, n. 2, p. 509

By:

HONG-KUN XU;
ALGHAMDI, MARYAM A.;
SHAHZAD, NASEER

Publication type:

Article

Parallel Normal S-Iteration Methods with Applications to Optimization Problems.

Published in:

Numerical Functional Analysis & Optimization, 2021, v. 42, n. 16, p. 1925, doi. 10.1080/01630563.2021.1950761

By:

Xu, Hong-Kun;
Sahu, D. R.

Publication type:

Article

Integral and Differential Systems in Function Spaces and Related Problems.

Published in:

Journal of Function Spaces & Applications, 2013, p. 1, doi. 10.1155/2013/965091

By:

Ti-Jun Xiao;
James H. Liu;
Hong-Kun Xu

Publication type:

Article

Boundary value problems for differential equations with...

Published in:

Nonlinear Studies, 1996, v. 3, n. 2, p. 231

By:

Hong-Kun Xu;
Liz, Eduardo

Publication type:

Article

ON QUALITATIVE ANALYSIS FOR A TWO COMPETING FISH SPECIES MODEL WITH A COMBINED NON-SELECTIVE HARVESTING EFFORT IN THE PRESENCE OF TOXICITY.

Published in:

Communications on Pure & Applied Analysis, 2013, v. 12, n. 5, p. 1927, doi. 10.3934/cpaa.2013.12.1927

By:

YUNFENG JIA;
JIANHUA WU;
HONG-KUN XU

Publication type:

Article

CONVERGENCE OF GENERALIZED PROXIMAL POINT ALGORITHMS.

Published in:

Communications on Pure & Applied Analysis, 2004, v. 3, n. 4, p. 791

By:

MARINO, GIUSEPPE;
HONG-KUN XU

Publication type:

Article

A Relaxed Projection Method for Split Variational Inequalities.

Published in:

Journal of Optimization Theory & Applications, 2015, v. 166, n. 1, p. 213, doi. 10.1007/s10957-014-0598-3

By:

He, Hongjin;
Ling, Chen;
Xu, Hong-Kun

Publication type:

Article

Averaged Mappings and the Gradient-Projection Algorithm.

Published in:

Journal of Optimization Theory & Applications, 2011, v. 150, n. 2, p. 360, doi. 10.1007/s10957-011-9837-z

By:

Xu, Hong-Kun

Publication type:

Article

Explicit Hierarchical Fixed Point Approach to Variational Inequalities.

Published in:

Journal of Optimization Theory & Applications, 2011, v. 149, n. 1, p. 61, doi. 10.1007/s10957-010-9775-1

By:

Marino, Giuseppe;
Hong-Kun Xu

Publication type:

Article

miR-340 Exerts Suppressive Effect on Retinoblastoma Progression by Targeting KIF14.

Published in:

Current Eye Research, 2021, v. 46, n. 2, p. 232, doi. 10.1080/02713683.2020.1795202

By:

Xu, Hong-Kun;
Wang, Xiao-Dong;
Wang, De-Gong;
Wei, Dong-Dong;
Liang, Ling;
Liu, Chang-Hui

Publication type:

Article

NOTES ON GRAPH-CONVERGENCE FOR MAXIMAL MONOTONE OPERATORS.

Published in:

Bulletin of the Australian Mathematical Society, 2010, v. 83, n. 1, p. 22, doi. 10.1017/S000497271000184X

By:

Cianciaruso, Filomena;
Marino, Giuseppe;
Muglia, Luigi;
Hong-Kun Xu

Publication type:

Article