Edit Profile (opens in new tab) Xu, Hong-Kun Co-Author Distance Author ID: xu.hong-kun Published as: Xu, Hong-Kun; Xu, Hongkun; Xu, H. K.; Xu, Hong Kun; Xu, H.-K.; Xu, Hong-kun; Xu, Hong-K. more...less Documents Indexed: 268 Publications since 1984, including 5 Additional arXiv Preprints 6 Contributions as Editor Co-Authors: 127 Co-Authors with 211 Joint Publications 4,792 Co-Co-Authors all top 5 Co-Authors 61 single-authored 16 Marino, Giuseppe 14 Tan, Kok-Keong 12 López Acedo, Genaro 10 Chebbi, Souhail 10 Jia, Yunfeng 10 Wang, Fenghui 9 Alghamdi, Maryam A. 9 Kim, Tae Hwa 9 Shahzad, Naseer 8 He, Hongjin 8 Wu, Jianhua 8 Yao, Jen-Chih 7 Colao, Vittorio 7 Dominguez Benavides, Tomás 7 Muglia, Luigi 6 Ceng, Lu-Chuan 6 Wei, Guangsheng 6 Yin, Ximing 5 Altwaijry, Najla A. 5 He, Songnian 5 Li, Chong 5 Sims, Brailey 5 Yao, Yonghong 4 Cianciaruso, Filomena 4 Su, Meng 4 Su, Yongfu 4 Xu, Zongben 3 Chen, Rudong 3 Dey, Soumitra 3 Lu, Xiwen 3 Martín-Márquez, Victoria 3 O’Hara, John G. 3 Pietramala, Paolamaria 3 Pillay, Paranjothi 3 Reich, Simeon 3 Takahashi, Wataru 3 Wang, Yamin 3 Wang, Yaqin 3 Xiao, Ti-Jun 3 Yuan, George Xian-Zhi 2 Agarwal, Ravi P. 2 Al-Rumaih, Zahra 2 Alghamdi, Mohammad Ali 2 Bian, Baojun 2 Hou, Liusheng 2 Huong, Vu Thi 2 Jiang, Yaolin 2 Kirk, William Arthur 2 Lau, Anthony To-Ming 2 Li, Fang 2 Liang, Jin 2 Lim, Teck-Cheong 2 Ling, Chen 2 Liz, Eduardo 2 Nieto Roig, Juan Jose 2 Ori, Ramesh G. 2 Peng, Bo 2 Rockafellar, Ralph Tyrrell 2 Sahu, Daya Ram 2 Tanaka, Tamaki 2 You, Zhaoyong 1 Alzughaibi, Imtithal 1 An, D. T. V. 1 Ayerbe, José M. 1 Beg, Ismat 1 Benavides, T. D. 1 Cao, Wenhe 1 Cegielski, Andrzej 1 Chen, Goong 1 Dhompongsa, Sompong 1 Dong, Qiaoli 1 Duong Thi Viet An 1 Fan, Qinwei 1 Fang, Xiaoli 1 Goebel, Kazimierz 1 Guo, Tiexin 1 Hammami, Hakim 1 Hao, Chaoyang 1 He, Bingsheng 1 Hu, Shuntai 1 Jin, Kunpeng 1 Lai, Chin-Chun 1 Li, Chunye 1 Li, Jinlu 1 Li, Lulu 1 Li, Yi 1 Li, Zhen 1 Lin, Lai-Jiu 1 Lin, Pei-Kee 1 Liou, Yeongcheng 1 Liu, James Hetao 1 Liu, Jun 1 Liu, Lili 1 Llorens-Fuster, Enrique 1 Luo, Bimei 1 Luo, Xianfa 1 Mao, Xiaoyu 1 Martin, Victoria L. 1 Martinez-Yanes, Carlos 1 Mei, Na ...and 27 more Co-Authors all top 5 Serials 28 Journal of Nonlinear and Convex Analysis 22 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 17 Journal of Mathematical Analysis and Applications 12 Taiwanese Journal of Mathematics 12 Nonlinear Analysis. Theory, Methods & Applications 11 Communications on Applied Nonlinear Analysis 10 Bulletin of the Australian Mathematical Society 8 Inverse Problems 8 Numerical Functional Analysis and Optimization 8 Proceedings of the American Mathematical Society 8 Fixed Point Theory 6 Journal of Optimization Theory and Applications 5 Carpathian Journal of Mathematics 4 Optimization 4 Journal of Global Optimization 4 Journal of Inequalities and Applications 4 Journal of Applied Mathematics 4 Fixed Point Theory and Applications 4 Linear and Nonlinear Analysis 3 Applicable Analysis 3 Mathematica Japonica 3 Panamerican Mathematical Journal 3 Abstract and Applied Analysis 2 Computers & Mathematics with Applications 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Applied Mathematics and Computation 2 Journal of Approximation Theory 2 Mathematische Nachrichten 2 Soochow Journal of Mathematics 2 Journal of Zhejiang University 2 Chinese Annals of Mathematics. Series A 2 Journal of Scientific Computing 2 SIAM Journal on Optimization 2 Advances in Computational Mathematics 2 Communications on Pure and Applied Analysis 2 Journal of Nonlinear and Variational Analysis 1 Houston Journal of Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Mathematical Physics 1 Mathematics of Computation 1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica 1 Applied Mathematics and Optimization 1 Canadian Mathematical Bulletin 1 Colloquium Mathematicum 1 Dissertationes Mathematicae 1 Journal of the London Mathematical Society. Second Series 1 Transactions of the American Mathematical Society 1 Journal of Mathematical Research & Exposition 1 Chinese Annals of Mathematics. Series B 1 Journal of Engineering Mathematics (Xi’an) 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Chinese Science Bulletin 1 Computational and Applied Mathematics 1 Georgian Mathematical Journal 1 Discrete and Continuous Dynamical Systems 1 Nonlinear Studies 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Mathematical Inequalities & Applications 1 International Journal of Applied Mathematics 1 Nonlinear Analysis. Real World Applications 1 Nonlinear Functional Analysis and Applications 1 Control and Intelligent Systems 1 Analysis and Applications (Singapore) 1 Pacific Journal of Optimization 1 International Mathematical Forum 1 Journal of Fixed Point Theory and Applications 1 Inverse Problems and Imaging 1 Numerical Mathematics: Theory, Methods and Applications 1 Set-Valued and Variational Analysis 1 Communications in Mathematical Research 1 Arabian Journal of Mathematics 1 Journal of Nonlinear Analysis and Optimization: Theory & Applications 1 Annals of Mathematical Sciences and Applications 1 Applied Analysis and Optimization all top 5 Fields 190 Operator theory (47-XX) 63 Numerical analysis (65-XX) 50 Calculus of variations and optimal control; optimization (49-XX) 47 Operations research, mathematical programming (90-XX) 42 Functional analysis (46-XX) 22 Ordinary differential equations (34-XX) 18 Partial differential equations (35-XX) 14 General topology (54-XX) 10 Probability theory and stochastic processes (60-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Integral equations (45-XX) 8 Biology and other natural sciences (92-XX) 8 Information and communication theory, circuits (94-XX) 6 General and overarching topics; collections (00-XX) 5 Approximations and expansions (41-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Systems theory; control (93-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 History and biography (01-XX) 2 Real functions (26-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Convex and discrete geometry (52-XX) 1 Statistics (62-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 203 Publications have been cited 9,536 times in 4,512 Documents Cited by ▼ Year ▼ Iterative algorithms for nonlinear operators. Zbl 1013.47032 Xu, Hong-Kun 1,079 2002 Inequalities in Banach spaces with applications. Zbl 0757.46033 Xu, Hong-Kun 737 1991 Viscosity approximation methods for nonexpansive mappings. Zbl 1061.47060 Xu, Hong-Kun 597 2004 Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process. Zbl 0895.47048 Tan, Kok-Keong; Xu, Hong-Kun 453 1993 An iterative approach to quadratic optimization. Zbl 1043.90063 Xu, H. K. 445 2003 A general iterative method for nonexpansive mappings in Hilbert spaces. Zbl 1095.47038 Marino, Giuseppe; Xu, Hong-Kun 363 2006 Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces. Zbl 1116.47053 Marino, Giuseppe; Xu, Hong-Kun 355 2007 A variable Krasnosel’skiĭ–Mann algorithm and the multiple-set split feasibility problem. Zbl 1126.47057 Xu, Hong-Kun 306 2006 Iterative methods for the split feasibility problem in infinite-dimensional Hilbert spaces. Zbl 1213.65085 Xu, Hong-Kun 295 2010 Strong convergence of the CQ method for fixed point iteration processes. Zbl 1105.47060 Martinez-Yanes, Carlos; Xu, Hong-Kun 230 2006 Solving the split feasibility problem without prior knowledge of matrix norms. Zbl 1262.90193 López, Genaro; Martín-Márquez, Victoria; Wang, Fenghui; Xu, Hong-Kun 212 2012 Another control condition in an iterative method for nonexpansive mappings. Zbl 1030.47036 Xu, Hong-Kun 209 2002 Convergence of hybrid steepest-descent methods for variational inequalities. Zbl 1045.49018 Xu, H. K.; Kim, T. H. 187 2003 Averaged mappings and the gradient-projection algorithm. Zbl 1233.90280 Xu, Hong-Kun 152 2011 An implicit iteration process for nonexpansive mappings. Zbl 0999.47043 Xu, Hong-Kun; Ori, Ramesh G. 143 2001 Strong convergence of modified Mann iterations. Zbl 1091.47055 Kim, Tae-Hwa; Xu, Hong-Kun 139 2005 Iterative methods for strict pseudo-contractions in Hilbert spaces. Zbl 1133.47050 Acedo, Genaro Lopez; Xu, Hong-Kun 132 2007 Fixed point theorems for asymptotically nonexpansive mappings. Zbl 0812.47058 Lim, Teck-Cheong; Xu, Hong-Kun 126 1994 Cyclic algorithms for split feasibility problems in Hilbert spaces. Zbl 1308.47079 Wang, Fenghui; Xu, Hong-Kun 121 2011 Fixed point iteration processes for asymptotically nonexpansive mappings. Zbl 0820.47071 Tan, Kok-Keong; Xu, Hong-Kun 116 1994 Strong convergence of an iterative method for nonexpansive and accretive operators. Zbl 1086.47060 Xu, Hong-Kun 111 2006 An iterative method for finding common solutions of equilibrium and fixed point problems. Zbl 1141.47040 Colao, Vittorio; Marino, Giuseppe; Xu, Hong-Kun 108 2008 Convergence of generalized proximal point algorithms. Zbl 1095.90115 Marino, Giuseppe; Xu, Hong-Kun 101 2004 Strong convergence of modified Mann iterations for asymptotically nonexpansive mappings and semigroups. Zbl 1090.47059 Kim, Tae-Hwa; Xu, Hong-Kun 92 2006 A regularization method for the proximal point algorithm. Zbl 1131.90062 Xu, Hong-Kun 90 2006 Existence of mild solutions for fractional integrodifferential equations of Sobolev type with nonlocal conditions. Zbl 1242.45009 Li, Fang; Liang, Jin; Xu, Hong-Kun 89 2012 Existence and convergence for fixed points of mappings of asymptotically nonexpansive type. Zbl 0747.47041 Xu, Hong-Kun 87 1991 Forward-backward splitting methods for accretive operators in Banach spaces. Zbl 1252.47043 López, Genaro; Martín-Márquez, Victoria; Wang, Fenghui; Xu, Hong-Kun 85 2012 Asymptotic pointwise contractions. Zbl 1172.47038 Kirk, W. A.; Xu, Hong-Kun 79 2008 Approximating curve and strong convergence of the \(CQ\) algorithm for the split feasibility problem. Zbl 1189.65107 Wang, Fenghui; Xu, Hong-Kun 69 2010 Schemes for finding minimum-norm solutions of variational inequalities. Zbl 1183.49012 Yao, Yonghong; Chen, Rudong; Xu, Hong-Kun 65 2010 Iterative methods for generalized split feasibility problems in Hilbert spaces. Zbl 1326.47099 Takahashi, Wataru; Xu, Hong-Kun; Yao, Jen-Chin 65 2015 Iterative approaches to convex feasibility problems in Banach spaces. Zbl 1139.47056 O’Hara, John G.; Pillay, Paranjothi; Xu, Hong-Kun 63 2006 Asymptotically strict pseudocontractive mappings in the intermediate sense. Zbl 1221.47122 Sahu, D. R.; Xu, Hong-Kun; Yao, Jen-Chih 63 2009 Demiclosedness principle and asymptotic behavior for asymptotically nonexpansive mappings. Zbl 0865.47040 Lin, Pei-Kee; Tan, Kok-Keong; Xu, Hong Kun 62 1995 A strong convergence theorem for contraction semigroups in Banach spaces. Zbl 1095.47016 Xu, Hong-Kun 62 2005 Iterative approaches to finding nearest common fixed points of nonexpansive mappings in Hilbert spaces. Zbl 1052.47049 O’Hara, John G.; Pillay, Paranjothi; Xu, Hong-Kun 56 2003 Convergence of the modified Mann’s iteration method for asymptotically strict pseudo-contractions. Zbl 1220.47100 Kim, Tae-Hwa; Xu, Hong-Kun 53 2008 Iterative solutions to nonlinear equations of strongly accretive operators in Banach spaces. Zbl 0834.47048 Tan, Kok-Keong; Xu, Hong-Kun 52 1993 The viscosity technique for the implicit midpoint rule of nonexpansive mappings in Hilbert spaces. Zbl 1310.47106 Xu, Hong-Kun; Alghamdi, Maryam A.; Shahzad, Naseer 48 2015 The nonlinear ergodic theorem for asymptotically nonexpansive mappings in Banach spaces. Zbl 0781.47045 Tan, Kok-Keong; Xu, Hongkun 44 1992 Viscosity method for hierarchical fixed point approach to variational inequalities. Zbl 1215.47099 Xu, Hong-Kun 44 2010 Strong convergence theorems for two countable families of weak relatively nonexpansive mappings and applications. Zbl 1215.47091 Su, Yongfu; Xu, Hong-Kun; Zhang, Xin 44 2010 Strong convergence theorems for nonexpansive nonself-mappings. Zbl 0826.47038 Xu, Hong-Kun; Yin, Xi-Ming 43 1995 Explicit hierarchical fixed point approach to variational inequalities. Zbl 1221.49012 Marino, Giuseppe; Xu, Hong-Kun 40 2011 Multivalued nonexpansive mappings in Banach spaces. Zbl 0988.47034 Xu, Hong-Kun 37 2001 The viscosity approximation method for asymptotically nonexpansive mappings in Banach spaces. Zbl 1142.47326 Ceng, Lu-Chuan; Xu, Hong-Kun; Yao, Jen-Chih 37 2008 Hybrid methods for a class of monotone variational inequalities. Zbl 1176.90462 Lu, Xiwen; Xu, Hong-Kun; Yin, Ximing 34 2009 On the proximal Jacobian decomposition of ALM for multiple-block separable convex minimization problems and its relationship to ADMM. Zbl 1371.65052 He, Bingsheng; Xu, Hong-Kun; Yuan, Xiaoming 34 2016 The implicit midpoint rule for nonexpansive mappings. Zbl 1332.47037 Alghamdi, Maryam A.; Alghamdi, Mohammad Ali; Shahzad, Naseer; Xu, Hong-Kun 33 2014 Some random fixed point theorems for condensing and nonexpansive operators. Zbl 0716.47029 Xu, Hongkun 32 1990 Iterative solutions for zeros of accretive operators. Zbl 1028.65060 Domínguez Benavides, Tomás; López Acedo, Genaro; Xu, Hong-Kun 31 2003 On an implicit hierarchical fixed point approach to variational inequalities. Zbl 1168.49005 Cianciaruso, Filomena; Colao, Vittorio; Muglia, Luigi; Xu, Hong-Kun 30 2009 Properties and iterative methods for the lasso and its variants. Zbl 1295.47064 Xu, Hong-Kun 29 2014 Iterative methods for finding minimum-norm fixed points of nonexpansive mappings with applications. Zbl 1368.47093 Yao, Yonghong; Xu, Hong-Kun 28 2011 Metric fixed point theory for multivalued mappings. Zbl 0972.47041 Xu, Hong-Kun 28 2000 Remarks on the gradient-projection algorithm. Zbl 1413.90272 Su, Meng; Xu, Hong Kun 28 2010 Perturbation techniques for nonexpansive mappings with applications. Zbl 1163.47306 Lopez, Genaro; Martin, Victoria; Xu, Hong-Kun 27 2009 Strong convergence theorems for a common fixed point of two hemi-relatively nonexpansive mappings. Zbl 1206.47088 Su, Yongfu; Wang, Ziming; Xu, Hongkun 27 2009 Construction of sunny expansive retractions in Banach spaces. Zbl 1017.47037 Domínguez Benavides, Tomás; López Acedo, Genaro; Xu, Hong-Kun 26 2002 On the missing eigenvalue problem for an inverse Sturm-Liouville problem. Zbl 1176.34012 Wei, Guangsheng; Xu, Hong-Kun 23 2009 Inverse spectral problem with partial information given on the potential and norming constants. Zbl 1255.34017 Wei, Guangsheng; Xu, Hong-Kun 23 2012 On weakly nonexpansive and *-nonexpansive multivalued mappings. Zbl 0733.54010 Xu, Hongkun 23 1991 Weak and strong convergence theorems for variational inequality and fixed point problems with Tseng’s extragradient method. Zbl 1515.47107 Wang, Fenghui; Xu, Hong-Kun 22 2012 Random fixed points of set-valued operators. Zbl 0841.47032 Domínguez Benavides, Tomás; López Acedo, Genaro; Xu, Hong-Kun 21 1996 Existence of solutions for a second-order differential equation with non-instantaneous impulses and delay. Zbl 1344.34084 Colao, Vittorio; Muglia, Luigi; Xu, Hong-Kun 21 2016 Strong convergence of an iterative method with perturbed mappings for nonexpansive and accretive operators. Zbl 1140.47050 Ceng, Lu-Chuan; Xu, Hong-Kun; Yao, Jen-Chih 20 2008 Remarks on asymptotically nonexpansive mappings. Zbl 0957.47037 Kim, Tae-Hwa; Xu, Hong-Kun 19 2000 Strong convergence of approximating fixed point sequences for nonexpansive mappings. Zbl 1126.47056 Xu, Hong-Kun 19 2006 A nonlinear ergodic theorem for asymptotically nonexpansive mappings. Zbl 0752.47024 Tan, Kok-Keong; Xu, Hong-Kun 19 1992 Inverse spectral analysis for the transmission eigenvalue problem. Zbl 1293.35189 Wei, Guangsheng; Xu, Hong-Kun 19 2013 Remarks on multivalued nonexpansive mappings. Zbl 0826.47037 López Acedo, Genaro; Xu, Hong-Kun 18 1995 A note on the Ishikawa iteration scheme. Zbl 0776.47042 Xu, Hong-Kun 18 1992 Approximating curves of nonexpansive nonself-mappings in Banach spaces. Zbl 0888.47036 Xu, Hong-Kun 18 1997 Strong asymptotic behavior of almost-orbits of nonlinear semigroups. Zbl 0993.47038 Xu, Hong-Kun 17 2001 Remarks on an iterative method for nonexpansive mappings. Zbl 1035.47035 Xu, Hong-K. 17 2003 An existence result for a new class of impulsive functional differential equations with delay. Zbl 1353.34092 Colao, Vittorio; Muglia, Luigi; Xu, Hong-Kun 17 2016 The selective projection method for convex feasibility and split feasibility problems. Zbl 1496.65075 He, Songnian; Tian, Hanlin; Xu, Hong-Kun 17 2018 Fixed point theorems for Lipschitzian semigroups in Banach spaces. Zbl 0781.47044 Tan, Kok-Keong; Xu, Hong-Kun 16 1993 Positive solutions of a Lotka-Volterra competition model with cross-diffusion. Zbl 1367.92129 Jia, Yunfeng; Wu, Jianhua; Xu, Hong-Kun 15 2014 Strong convergence for the proximal-gradient method. Zbl 1295.46058 Wang, Yamin; Xu, Hong-Kun 15 2014 Robustness of Mann’s algorithm for nonexpansive mappings. Zbl 1110.47057 Kim, Tae-Hwa; Xu, Hong-Kun 14 2007 On fixed point theorems of nonexpansive mappings in product spaces. Zbl 0747.47040 Tan, Kok-Keong; Xu, Hongkun 14 1991 An iterative approach to a constrained least squares problem. Zbl 1053.65041 Reich, Simeon; Xu, Hong-Kun 14 2003 Uniqueness of supporting hyperplanes and an alternative to solutions of variational inequalities. Zbl 1298.47072 He, Songnian; Xu, Hong-Kun 14 2013 Boundary value problems for functional differential equations. Zbl 0972.34054 Xu, Hong-Kun; Liz, Eduardo 13 2000 A relaxed projection method for split variational inequalities. Zbl 1323.65079 He, Hongjin; Ling, Chen; Xu, Hong-Kun 13 2015 Approximations to fixed points of contraction semigroups in Hilbert spaces. Zbl 0908.47057 Xu, Hong-Kun 12 1998 Weak uniform normal structure and iterative fixed points of nonexpansive mappings. Zbl 0845.46006 Domínguez Benavides, Tomás; López Acedo, Genaro; Xu, Hong-Kun 12 1995 A new geometrical coefficient for Banach spaces and its applications in fixed point theory. Zbl 0830.47041 Dominguez Benavides, Tomás; Xu, Hong-Kun 12 1995 Random fixed point theorems for nonlinear uniformly Lipschitzian mappings. Zbl 0864.47051 Xu, Hongkun 12 1996 Extremal solutions of a class of nonlinear integro-differential equations in Banach spaces. Zbl 0888.45007 Xu, Hong-Kun; Nieto, Juan J. 12 1997 Regularization and iteration methods for a class of monotone variational inequalities. Zbl 1179.58008 Chen, Rudong; Su, Yongfu; Xu, Hong-Kun 12 2009 Uniformly Lipschitzian mappings in metric spaces with uniform normal structure. Zbl 0845.47045 Lim, T.-C.; Xu, Hong-Kun 11 1995 Variational inequalities governed by boundedly Lipschitzian and strongly monotone operators. Zbl 1192.58009 He, Songnian; Xu, Hong-Kun 11 2009 An ergodic theorem for nonlinear semigroups of Lipschitzian mappings in Banach spaces. Zbl 0782.47058 Tan, Kok-Keong; Xu, Hong-Kun 11 1992 A random fixed point theorem for multivalued nonexpansive operators in uniformly convex Banach spaces. Zbl 0808.47044 Xu, Hongkun 10 1993 Fixed point theorems for uniformly Lipschitzian semigroups in uniformly convex spaces. Zbl 0722.47050 Xu, Hongkun 10 1990 Halpern’s iteration for nonexpansive mappings. Zbl 1218.47109 López, Genaro; Martín-Márquez, Victoria; Xu, Hong-Kun 10 2010 Porosity of mutually nearest and mutually furthest points in Banach spaces. Zbl 1038.41014 Li, Chong; Xu, Hong-Kun 9 2003 Convergence of Halpern’s iteration method with applications in optimization. Zbl 1503.47110 Qi, Huiqiang; Xu, Hong-Kun 4 2021 Mild solutions of nonlocal semilinear evolution equations on unbounded intervals via approximation solvability method in reflexive Banach spaces. Zbl 1481.34080 Xu, Hong-Kun; Colao, Vittorio; Muglia, Luigi 4 2021 The Landweber operator approach to the split equality problem. Zbl 1461.47038 Xu, Hong-Kun; Cegielski, Andrzej 4 2021 Notes on a neural network approach to inverse variational inequalities. Zbl 1518.49013 Xu, Hong-Kun; Dey, Soumitra; Vetrivel, V. 1 2021 An iterative method for a nonlinear equation governed by accretive nonexpansive mappings in Banach spaces. Zbl 07613074 Tao, Xi; Xu, Hong-Kun 1 2021 Parallel normal \(S\)-iteration methods with applications to optimization problems. Zbl 07505478 Xu, Hong-Kun; Sahu, D. R. 1 2021 Spatial patterns and bifurcation analysis of a diffusive tumour-immune model. Zbl 1481.37108 Wang, Jingjing; Zheng, Hongchan; Jia, Yunfeng; Xu, Hong-Kun 1 2021 On solving variational inequalities defined on fixed point sets of multivalued mappings in Banach spaces. Zbl 1484.47176 Xu, Hong-Kun; Muglia, Luigi 5 2020 Proximal methods for reweighted \(l_Q\)-regularization of sparse signal recovery. Zbl 1474.90358 Peng, Bo; Xu, Hong-Kun 1 2020 An \(l_1\)-\(l_p\) DC regularization method for compressed sensing. Zbl 1460.90130 Cao, Wenhe; Xu, Hong-Kun 1 2020 A neural network method for monotone variational inclusions. Zbl 1473.49009 Dey, Soumitra; Vetrivel, V.; Xu, Hong-Kun 2 2019 The selective projection method for convex feasibility and split feasibility problems. Zbl 1496.65075 He, Songnian; Tian, Hanlin; Xu, Hong-Kun 17 2018 Weak and strong convergence of two algorithms for the split fixed point problem. Zbl 1438.47124 Wang, Fenghui; Xu, Hongkun 3 2018 Analysis on the existence of the steady-states for an ecological-mathematical model with predator-prey-dependent functional response. Zbl 1431.92124 Jia, Yunfeng; Luo, Bimei; Wu, Jianhua; Xu, Hong-Kun 1 2018 A note on the accelerated proximal gradient method for nonconvex optimization. Zbl 1449.90300 Wang, Huijuang; Xu, Hong-Kun 1 2018 A partially isochronous splitting algorithm for three-block separable convex minimization problems. Zbl 1394.90455 He, Hongjin; Hou, Liusheng; Xu, Hong-Kun 1 2018 A strongly convergent modification of the proximal point algorithm in nonsmooth Banach spaces. Zbl 1391.90470 Chebbi, Souhail; Altwaijry, Najla; Xu, Hong-Kun 1 2018 Bounded perturbation resilience and superiorization techniques for the projected scaled gradient method. Zbl 1372.65185 Xu, Hong-Kun 8 2017 Splitting methods for split feasibility problems with application to Dantzig selectors. Zbl 1367.65088 He, Hongjin; Xu, Hong-Kun 7 2017 Periodicity of solutions to the Cauchy problem for nonautonomous impulsive delay evolution equations in Banach spaces. Zbl 1364.47047 Liang, Jin; Liu, James H.; Xiao, Ti-Jun; Xu, Hong-Kun 7 2017 Perturbation resilience and superiorization methodology of averaged mappings. Zbl 1366.65061 He, Hongjin; Xu, Hong-Kun 5 2017 Solvability of split vector variational inequalities in Banach spaces. Zbl 1390.49007 Li, Jinlu; Xu, Hong-Kun 2 2017 An unconstrained optimization approach to the split feasibility problem. Zbl 1489.47096 Xu, Hong-Kun; Alghamdi, Maryam A.; Shahzad, Naseer 2 2017 Projection algorithms for composite minimization. Zbl 1399.90209 Yang, Xiaonan; Xu, Hong-Kun 2 2017 Brailey Sims – a brief biography. Zbl 1388.01021 Dhompongsa, S.; Dominguez-Benavides, T.; Goebel, K.; Kirk, W. A.; Xu, H.-K. 1 2017 Remarks on iterative methods for multivalued nonexpansive mappings. Zbl 1477.47092 Xu, Hong-Kun; Alghamdi, Maryam A.; Shahzad, Naseer 1 2017 On the proximal Jacobian decomposition of ALM for multiple-block separable convex minimization problems and its relationship to ADMM. Zbl 1371.65052 He, Bingsheng; Xu, Hong-Kun; Yuan, Xiaoming 34 2016 Existence of solutions for a second-order differential equation with non-instantaneous impulses and delay. Zbl 1344.34084 Colao, Vittorio; Muglia, Luigi; Xu, Hong-Kun 21 2016 An existence result for a new class of impulsive functional differential equations with delay. Zbl 1353.34092 Colao, Vittorio; Muglia, Luigi; Xu, Hong-Kun 17 2016 Error sensitivity for strongly convergent modifications of the proximal point algorithm. Zbl 1345.47052 Wang, Yamin; Wang, Fenghui; Xu, Hong-Kun 9 2016 An implementable splitting algorithm for the \(\ell_1\)-norm regularized split feasibility problem. Zbl 1339.65030 He, Hongjin; Ling, Chen; Xu, Hong-Kun 7 2016 The implicit midpoint rule for nonexpansive mappings in Banach spaces. Zbl 1483.47106 Xu, Hong-Kun; Alghamdi, Maryam A.; Shahzad, Naseer 5 2016 Regularization for the split feasibility problem. Zbl 1349.47098 Xu, Hong-Kun; Alghamdi, Maryam A.; Shahzad, Naseer 3 2016 Properties and splitting method for the \(p\)-elastic net. Zbl 1477.62181 Altwaijry, Najla; Chebbi, Souhail; Xu, Hong-Kun 1 2016 The theta method for nonexpansive mappings. Zbl 1483.47120 Xu, Hong-Kun; Alghamdi, Maryam A.; Shahzad, Naseer 1 2016 Matrix approaches to approximate solutions of variational inequalities in Hilbert spaces. Zbl 1481.47083 Cianciaruso, Filomena; Marino, Giuseppe; Muglia, Luigi; Xu, Hong-Kun 1 2016 Iterative methods for generalized split feasibility problems in Hilbert spaces. Zbl 1326.47099 Takahashi, Wataru; Xu, Hong-Kun; Yao, Jen-Chin 65 2015 The viscosity technique for the implicit midpoint rule of nonexpansive mappings in Hilbert spaces. Zbl 1310.47106 Xu, Hong-Kun; Alghamdi, Maryam A.; Shahzad, Naseer 48 2015 A relaxed projection method for split variational inequalities. Zbl 1323.65079 He, Hongjin; Ling, Chen; Xu, Hong-Kun 13 2015 On the missing bound state data of inverse spectral-scattering problems on the half-line. Zbl 1326.34035 Wei, Guangsheng; Xu, Hong-Kun 4 2015 The supporting hyperplane and an alternative to solutions of variational inequalities. Zbl 1341.49011 Nguyen, Huu Quang; Xu, Hong-Kun 3 2015 Weak convergence of iterative methods for two accretive operators in Banach spaces. Zbl 1338.47112 Wang, Yuan-Heng; Chebbi, Souhail; Xu, Hong-Kun 2 2015 Ergodicity of the implicit midpoint rule for nonexpansive mappings. Zbl 1338.47074 Xu, Hong-Kun; Alghamdi, Maryam A.; Shahzad, Naseer 2 2015 A note on the implicit midpoint rule for nonexpansive mappings. Zbl 1327.47070 Xu, Hong-Kun 1 2015 The valuation of powered options. Zbl 1335.91090 Xu, Hong-Kun 1 2015 A new accuracy criterion for the contraction proximal point algorithm with two monotone operators. Zbl 1311.47098 Wang, Yamin; Xu, Hong-Kun 1 2015 The implicit midpoint rule for nonexpansive mappings. Zbl 1332.47037 Alghamdi, Maryam A.; Alghamdi, Mohammad Ali; Shahzad, Naseer; Xu, Hong-Kun 33 2014 Properties and iterative methods for the lasso and its variants. Zbl 1295.47064 Xu, Hong-Kun 29 2014 Positive solutions of a Lotka-Volterra competition model with cross-diffusion. Zbl 1367.92129 Jia, Yunfeng; Wu, Jianhua; Xu, Hong-Kun 15 2014 Strong convergence for the proximal-gradient method. Zbl 1295.46058 Wang, Yamin; Xu, Hong-Kun 15 2014 Construction of minimum-norm fixed points of pseudocontractions in Hilbert spaces. Zbl 1309.47085 Yao, Yonghong; Marino, Giuseppe; Xu, Hong-Kun; Liou, Yeong-Cheng 7 2014 Weak continuity of the normalized duality map. Zbl 1300.46011 Xu, Hong-Kun; Kim, Tae Hwa; Yin, Ximing 5 2014 Hybrid method for a class of accretive variational inequalities involving nonexpansive mappings. Zbl 1485.47108 Wang, Yaqin; Xu, Hong-kun 1 2014 Inverse spectral analysis for the transmission eigenvalue problem. Zbl 1293.35189 Wei, Guangsheng; Xu, Hong-Kun 19 2013 Uniqueness of supporting hyperplanes and an alternative to solutions of variational inequalities. Zbl 1298.47072 He, Songnian; Xu, Hong-Kun 14 2013 Properties and iterative methods for the \(Q\)-lasso. Zbl 1359.94052 Alghamdi, Maryam A.; Alghamdi, Mohammad Ali; Shahzad, Naseer; Xu, Hong-Kun 6 2013 Spatial pattern in an ecosystem of phytoplankton-nutrient from remote sensing. Zbl 1263.35205 Jia, Yunfeng; Wu, Jianhua; Xu, Hong-Kun 6 2013 A compactness result for differentiable functions with an application to boundary value problems. Zbl 1275.46020 Cianciaruso, Filomena; Colao, Vittorio; Marino, Giuseppe; Xu, Hong-Kun 2 2013 On qualitative analysis for a two competing fish species model with a combined non-selective harvesting effort in the presence of toxicity. Zbl 1303.92099 Jia, Yunfeng; Wu, Jianhua; Xu, Hong-Kun 2 2013 Relaxed viscosity approximation methods with regularization for constrained minimization problems. Zbl 1266.90140 Ceng, Lu-Chuan; Xu, Hong-Kun; Wen, Ching-Feng 1 2013 A Halpern-Lions-Reich-like iterative method for nonexpansive mappings. Zbl 1366.47004 Al-Rumaih, Zahra; Chebbi, Souhail; Xu, Hong-Kun 1 2013 Solving the split feasibility problem without prior knowledge of matrix norms. Zbl 1262.90193 López, Genaro; Martín-Márquez, Victoria; Wang, Fenghui; Xu, Hong-Kun 212 2012 Existence of mild solutions for fractional integrodifferential equations of Sobolev type with nonlocal conditions. Zbl 1242.45009 Li, Fang; Liang, Jin; Xu, Hong-Kun 89 2012 Forward-backward splitting methods for accretive operators in Banach spaces. Zbl 1252.47043 López, Genaro; Martín-Márquez, Victoria; Wang, Fenghui; Xu, Hong-Kun 85 2012 Inverse spectral problem with partial information given on the potential and norming constants. Zbl 1255.34017 Wei, Guangsheng; Xu, Hong-Kun 23 2012 Weak and strong convergence theorems for variational inequality and fixed point problems with Tseng’s extragradient method. Zbl 1515.47107 Wang, Fenghui; Xu, Hong-Kun 22 2012 A duality fixed point theorem and applications. Zbl 1327.47051 Su, Yongfu; Xu, Hongkun 9 2012 A modified extragradient method for the split feasibility and fixed point problems. Zbl 1283.47067 Yao, Yonghong; Kim, Tae Hwa; Chebbi, Souhail; Xu, Hong-Kun 9 2012 On nonlinear neutral fractional integrodifferential inclusions with infinite delay. Zbl 1244.45003 Li, Fang; Xiao, Ti-Jun; Xu, Hong-Kun 6 2012 Noncompact equilibrium points and applications. Zbl 1245.49005 Al-Rumaih, Zahra; Chebbi, Souhail; Xu, Hong Kun 3 2012 Implicit and explicit algorithms for minimum-norm fixed points of pseudocontractions in Hilbert spaces. Zbl 1293.47068 Yao, Yonghong; Colao, Vittorio; Marino, Giuseppe; Xu, Hong-Kun 3 2012 Strong convergence theorems for generalized equilibrium, variational inequalities and nonlinear operators. Zbl 1255.47070 Wang, Yaqin; Xu, Hong-Kun; Yin, Ximing 2 2012 Averaged mappings and the gradient-projection algorithm. Zbl 1233.90280 Xu, Hong-Kun 152 2011 Cyclic algorithms for split feasibility problems in Hilbert spaces. Zbl 1308.47079 Wang, Fenghui; Xu, Hong-Kun 121 2011 Explicit hierarchical fixed point approach to variational inequalities. Zbl 1221.49012 Marino, Giuseppe; Xu, Hong-Kun 40 2011 Iterative methods for finding minimum-norm fixed points of nonexpansive mappings with applications. Zbl 1368.47093 Yao, Yonghong; Xu, Hong-Kun 28 2011 Existence of positive solutions for a prey-predator model with refuge and diffusion. Zbl 1215.92064 Jia, Yunfeng; Xu, Hong-Kun; Agarwal, Ravi P. 7 2011 Choices of variable steps of the CQ algorithm for the split feasibility problem. Zbl 1471.65040 Wang, Fenghui; Xu, Hong-Kun; Su, Meng 6 2011 Existence of best simultaneous approximations in \(L_p (S,\, \varSigma,\, X)\). Zbl 1232.46037 Luo, Xian-Fa; Li, Chong; Xu, Hong-Kun; Yao, Jen-Chih 6 2011 Positive solutions for a predator-prey interaction model with Holling-type functional response and diffusion. Zbl 1230.92051 Jia, Yunfeng; Wu, Jianhua; Xu, Hong-Kun 3 2011 Notes on graph-convergence for maximal monotone operators. Zbl 1216.47080 Cianciaruso, Filomena; Marino, Giuseppe; Muglia, Luigi; Xu, Hong-Kun 2 2011 Iterative methods for the split feasibility problem in infinite-dimensional Hilbert spaces. 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Zbl 1192.49020 Wang, Jin-Hua; Li, Chong; Xu, Hong-Kun 7 2010 An alternative regularization method for nonexpansive mappings with applications. Zbl 1220.47132 Xu, Hong-Kun 7 2010 Uniformly normal structure and uniformly Lipschitzian semigroups. Zbl 1250.47055 Ceng, Lu-Chuan; Xu, Hong-Kun; Yao, Jen-Chih 5 2010 Strongly convergent iterative algorithms for solving a class of variational inequalities. Zbl 1209.47031 Wang, Fenghui; Xu, Hong-Kun 5 2010 Regularization and iterative methods for monotone variational inequalities. Zbl 1185.49015 Xu, Xiubin; Xu, Hong-Kun 4 2010 Inverse spectral problem for a string equation with partial information. Zbl 1219.34019 Wei, Guangsheng; Xu, Hong-Kun 3 2010 On two iterative methods for mixed monotone variational inequalities. Zbl 1185.49008 Lu, Xiwen; Xu, Hong-Kun; Yin, Ximing 1 2010 Asymptotically strict pseudocontractive mappings in the intermediate sense. Zbl 1221.47122 Sahu, D. R.; Xu, Hong-Kun; Yao, Jen-Chih 63 2009 Hybrid methods for a class of monotone variational inequalities. Zbl 1176.90462 Lu, Xiwen; Xu, Hong-Kun; Yin, Ximing 34 2009 On an implicit hierarchical fixed point approach to variational inequalities. Zbl 1168.49005 Cianciaruso, Filomena; Colao, Vittorio; Muglia, Luigi; Xu, Hong-Kun 30 2009 Perturbation techniques for nonexpansive mappings with applications. Zbl 1163.47306 Lopez, Genaro; Martin, Victoria; Xu, Hong-Kun 27 2009 Strong convergence theorems for a common fixed point of two hemi-relatively nonexpansive mappings. Zbl 1206.47088 Su, Yongfu; Wang, Ziming; Xu, Hongkun 27 2009 ...and 103 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,534 Authors 189 Kumam, Poom 181 Yao, Jen-Chih 169 Ceng, Lu-Chuan 135 Yao, Yonghong 120 Chang, Shih-Sen 119 Cho, Yeol Je 105 Liou, Yeongcheng 105 Shehu, Yekini 99 Mewomo, Oluwatosin Temitope 98 Qin, Xiaolong 96 Kang, Shin Min 96 Suantai, Suthep 93 Xu, Hong-Kun 91 Zegeye, Habtu 79 Shahzad, Naseer 75 Chidume, Charles Ejike 75 Cholamjiak, Prasit 65 Su, Yongfu 63 Wen, Chingfeng 61 Chen, Rudong 58 Dong, Qiaoli 58 Kangtunyakarn, Atid 55 Takahashi, Wataru 52 He, Songnian 52 Marino, Giuseppe 51 Jolaoso, Lateef Olakunle O. 51 Zhou, Haiyun 47 Kim, Jong Kyu 45 Dang Van Hieu 45 Izuchukwu, Chinedu 45 Song, Yisheng 45 Wang, Lin 43 Ansari, Qamrul Hasan 43 Cho, Sun Young 42 Trương Minh Tuyên 42 Wangkeeree, Rabian 40 Dương Việt Thông 40 Noor, Muhammad Aslam 39 Sunthrayuth, Pongsakorn 38 Cai, Gang 38 Plubtieng, Somyot 37 Gibali, Aviv 36 Jung, Jong Soo 36 Saejung, Satit 35 Agarwal, Ravi P. 35 Sahu, Daya Ram 34 Eslamian, Mohammad 34 Wang, Fenghui 33 Latif, Abdul 33 Reich, Simeon 32 Zhao, Jing 31 Cholamjiak, Watcharaporn 31 Tian, Ming 31 Ugwunnadi, Godwin Chidi 29 Alakoya, Timilehin Opeyemi 29 Ali, Bashir 27 Iyiola, Olaniyi Samuel 27 Khan, Abdul Rahim 27 Panyanak, Bancha 26 Lê Dung Muu 26 Muglia, Luigi 25 Rafiq, Arif 24 Chan, Chi Kin 24 Postolache, Mihai 23 Huang, Nan-Jing 23 Hussain, Nawab 23 Ofoedu, Eric Uwadiegwu 23 Wong, Ngai-Ching 22 Boikanyo, Oganeditse Aaron 22 Kazmi, Kaleem Raza 22 Khamsi, Mohamed Amine 21 Hu, Changsong 21 Kumam, Wiyada 21 Lee, H. 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