Edit Profile Xu, Hong-Kun Compute Distance To: Compute Author ID: xu.hong-kun Published as: Xu, H.; Xu, H. K.; Xu, H.-K.; Xu, Hong Kun; Xu, Hong-K.; Xu, Hong-Kun; Xu, Hong-kun; Xu, Hongkun Documents Indexed: 254 Publications since 1984, including 2 Books all top 5 Co-Authors 59 single-authored 16 Marino, Giuseppe 14 Tan, Kok-Keong 12 López Acedo, Genaro 9 Jia, Yunfeng 9 Kim, Tae Hwa 9 Wang, Fenghui 8 Alghamdi, Maryam A. 8 Chebbi, Souhail 8 Shahzad, Naseer 8 Wu, Jianhua 8 Yao, Jen-Chih 7 Colao, Vittorio 7 He, Hongjin 7 Muglia, Luigi 6 Ceng, Lu-Chuan 6 Dominguez Benavides, Tomás 6 Wei, Guangsheng 6 Yin, Ximing 5 Li, Chong 5 Yao, Yonghong 4 Cianciaruso, Filomena 4 He, Songnian 4 Sims, Brailey 4 Su, Meng 4 Su, Yongfu 3 Altwaijry, Najla A. 3 Chen, Rudong 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 Xu, Zongben 3 Yuan, George Xian-Zhi 2 Agarwal, Ravi P. 2 Al-Rumaih, Zahra 2 Alghamdi, Mohammad Ali 2 Hou, Liusheng 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 Tanaka, Tamaki 2 Xiao, Tijun 2 You, Zhaoyong 1 Ayerbe, José M. 1 Beg, Ismat 1 Benavides, T. D. 1 Cegielski, Andrzej 1 Dhompongsa, Sompong 1 Domínguez Benavides, T. 1 Fan, Qinwei 1 Fang, Xiaoli 1 Goebel, Kazimierz 1 Hammami, Hakim 1 He, Bingsheng 1 Jin, Kunpeng 1 Lai, Chin-Chun 1 Li, Jinlu 1 Li, Yi 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 Martin, Victoria L. 1 Martinez-Yanes, Carlos 1 Nguyen, Huu Quang 1 Petruşel, Adrian 1 Sahu, Daya Ram 1 Shaw, Sen-Yen 1 Shih, Mauhsiang 1 Tian, Hanlin 1 Wang, Huijuang 1 Wang, Jinhua 1 Wang, Yuanheng 1 Wang, Ziming 1 Wei, Liling 1 Wen, Chingfeng 1 Xiao, Ti-Jun 1 Xu, Xiubin 1 Yamada, Isao 1 Yang, Xiaonan 1 Yuan, Xiaoming ...and 2 more Co-Authors all top 5 Serials 22 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 21 Journal of Nonlinear and Convex Analysis 17 Journal of Mathematical Analysis and Applications 12 Nonlinear Analysis. Theory, Methods & Applications 11 Communications on Applied Nonlinear Analysis 11 Taiwanese Journal of Mathematics 10 Bulletin of the Australian Mathematical Society 8 Inverse Problems 8 Proceedings of the American Mathematical Society 8 Fixed Point Theory 6 Journal of Optimization Theory and Applications 5 Numerical Functional Analysis and 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 Journal of Global Optimization 3 Abstract and Applied Analysis 3 Carpathian Journal of Mathematics 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 Optimization 2 Journal of Scientific Computing 2 Advances in Computational Mathematics 2 Communications on Pure and Applied Analysis 1 Houston Journal of Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Mathematical Physics 1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica 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 SIAM Journal on Optimization 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 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 all top 5 Fields 176 Operator theory (47-XX) 61 Numerical analysis (65-XX) 40 Functional analysis (46-XX) 39 Calculus of variations and optimal control; optimization (49-XX) 35 Operations research, mathematical programming (90-XX) 25 Ordinary differential equations (34-XX) 16 Partial differential equations (35-XX) 13 General topology (54-XX) 7 Biology and other natural sciences (92-XX) 7 Information and communication theory, circuits (94-XX) 6 Integral equations (45-XX) 6 Probability theory and stochastic processes (60-XX) 5 Approximations and expansions (41-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Systems theory; control (93-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Convex and discrete geometry (52-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 191 Publications have been cited 7,730 times in 3,560 Documents Cited by ▼ Year ▼ Iterative algorithms for nonlinear operators. Zbl 1013.47032Xu, Hong-Kun 818 2002 Inequalities in Banach spaces with applications. Zbl 0757.46033Xu, Hong-Kun 589 1991 Viscosity approximation methods for nonexpansive mappings. Zbl 1061.47060Xu, Hong-Kun 510 2004 An iterative approach to quadratic optimization. Zbl 1043.90063Xu, H. K. 391 2003 Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process. Zbl 0895.47048Tan, Kok-Keong; Xu, Hong-Kun 371 1993 A general iterative method for nonexpansive mappings in Hilbert spaces. Zbl 1095.47038Marino, Giuseppe; Xu, Hong-Kun 315 2006 Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces. Zbl 1116.47053Marino, Giuseppe; Xu, Hong-Kun 306 2007 A variable Krasnosel’skiĭ–Mann algorithm and the multiple-set split feasibility problem. Zbl 1126.47057Xu, Hong-Kun 242 2006 Strong convergence of the CQ method for fixed point iteration processes. Zbl 1105.47060Martinez-Yanes, Carlos; Xu, Hong-Kun 194 2006 Iterative methods for the split feasibility problem in infinite-dimensional Hilbert spaces. Zbl 1213.65085Xu, Hong-Kun 186 2010 Convergence of hybrid steepest-descent methods for variational inequalities. Zbl 1045.49018Xu, H. K.; Kim, T. H. 161 2003 Another control condition in an iterative method for nonexpansive mappings. Zbl 1030.47036Xu, Hong-Kun 152 2002 An implicit iteration process for nonexpansive mappings. Zbl 0999.47043Xu, Hong-Kun; Ori, Ramesh G. 132 2001 Strong convergence of modified Mann iterations. Zbl 1091.47055Kim, Tae-Hwa; Xu, Hong-Kun 121 2005 Solving the split feasibility problem without prior knowledge of matrix norms. Zbl 1262.90193López, Genaro; Martín-Márquez, Victoria; Wang, Fenghui; Xu, Hong-Kun 120 2012 Iterative methods for strict pseudo-contractions in Hilbert spaces. Zbl 1133.47050Acedo, Genaro Lopez; Xu, Hong-Kun 120 2007 Fixed point theorems for asymptotically nonexpansive mappings. Zbl 0812.47058Lim, Teck-Cheong; Xu, Hong-Kun 111 1994 Fixed point iteration processes for asymptotically nonexpansive mappings. Zbl 0820.47071Tan, Kok-Keong; Xu, Hong-Kun 106 1994 Strong convergence of an iterative method for nonexpansive and accretive operators. Zbl 1086.47060Xu, Hong-Kun 105 2006 An iterative method for finding common solutions of equilibrium and fixed point problems. Zbl 1141.47040Colao, Vittorio; Marino, Giuseppe; Xu, Hong-Kun 104 2008 Averaged mappings and the gradient-projection algorithm. Zbl 1233.90280Xu, Hong-Kun 103 2011 Strong convergence of modified Mann iterations for asymptotically nonexpansive mappings and semigroups. Zbl 1090.47059Kim, Tae-Hwa; Xu, Hong-Kun 86 2006 Cyclic algorithms for split feasibility problems in Hilbert spaces. Zbl 1308.47079Wang, Fenghui; Xu, Hong-Kun 83 2011 Existence and convergence for fixed points of mappings of asymptotically nonexpansive type. Zbl 0747.47041Xu, Hong-Kun 81 1991 Convergence of generalized proximal point algorithms. Zbl 1095.90115Marino, Giuseppe; Xu, Hong-Kun 79 2004 A regularization method for the proximal point algorithm. Zbl 1131.90062Xu, Hong-Kun 76 2006 Existence of mild solutions for fractional integrodifferential equations of Sobolev type with nonlocal conditions. Zbl 1242.45009Li, Fang; Liang, Jin; Xu, Hong-Kun 66 2012 Asymptotic pointwise contractions. Zbl 1172.47038Kirk, W. A.; Xu, Hong-Kun 66 2008 Asymptotically strict pseudocontractive mappings in the intermediate sense. Zbl 1221.47122Sahu, D. R.; Xu, Hong-Kun; Yao, Jen-Chih 62 2009 A strong convergence theorem for contraction semigroups in Banach spaces. Zbl 1095.47016Xu, Hong-Kun 59 2005 Iterative approaches to convex feasibility problems in Banach spaces. Zbl 1139.47056O’Hara, John G.; Pillay, Paranjothi; Xu, Hong-Kun 58 2006 Demiclosedness principle and asymptotic behavior for asymptotically nonexpansive mappings. Zbl 0865.47040Lin, Pei-Kee; Tan, Kok-Keong; Xu, Hong Kun 56 1995 Schemes for finding minimum-norm solutions of variational inequalities. Zbl 1183.49012Yao, Yonghong; Chen, Rudong; Xu, Hong-Kun 55 2010 Approximating curve and strong convergence of the \(CQ\) algorithm for the split feasibility problem. Zbl 1189.65107Wang, Fenghui; Xu, Hong-Kun 54 2010 Iterative approaches to finding nearest common fixed points of nonexpansive mappings in Hilbert spaces. Zbl 1052.47049O’Hara, John G.; Pillay, Paranjothi; Xu, Hong-Kun 54 2003 Iterative solutions to nonlinear equations of strongly accretive operators in Banach spaces. Zbl 0834.47048Tan, Kok-Keong; Xu, Hong-Kun 54 1993 Convergence of the modified Mann’s iteration method for asymptotically strict pseudo-contractions. Zbl 1220.47100Kim, Tae-Hwa; Xu, Hong-Kun 53 2008 Strong convergence theorems for two countable families of weak relatively nonexpansive mappings and applications. Zbl 1215.47091Su, Yongfu; Xu, Hong-Kun; Zhang, Xin 43 2010 Strong convergence theorems for nonexpansive nonself-mappings. Zbl 0826.47038Xu, Hong-Kun; Yin, Xi-Ming 42 1995 The nonlinear ergodic theorem for asymptotically nonexpansive mappings in Banach spaces. Zbl 0781.47045Tan, Kok-Keong; Xu, Hongkun 42 1992 Some random fixed point theorems for condensing and nonexpansive operators. Zbl 0716.47029Xu, Hongkun 40 1990 Explicit hierarchical fixed point approach to variational inequalities. Zbl 1221.49012Marino, Giuseppe; Xu, Hong-Kun 36 2011 Multivalued nonexpansive mappings in Banach spaces. Zbl 0988.47034Xu, Hong-Kun 33 2001 The viscosity technique for the implicit midpoint rule of nonexpansive mappings in Hilbert spaces. Zbl 1310.47106Xu, Hong-Kun; Alghamdi, Maryam A.; Shahzad, Naseer 32 2015 Viscosity method for hierarchical fixed point approach to variational inequalities. Zbl 1215.47099Xu, Hong-Kun 32 2010 Hybrid methods for a class of monotone variational inequalities. Zbl 1176.90462Lu, Xiwen; Xu, Hong-Kun; Yin, Ximing 32 2009 Forward-backward splitting methods for accretive operators in Banach spaces. Zbl 1252.47043López, Genaro; Martín-Márquez, Victoria; Wang, Fenghui; Xu, Hong-Kun 31 2012 On an implicit hierarchical fixed point approach to variational inequalities. Zbl 1168.49005Cianciaruso, Filomena; Colao, Vittorio; Muglia, Luigi; Xu, Hong-Kun 30 2009 The viscosity approximation method for asymptotically nonexpansive mappings in Banach spaces. Zbl 1142.47326Ceng, Lu-Chuan; Xu, Hong-Kun; Yao, Jen-Chih 30 2008 Iterative methods for generalized split feasibility problems in Hilbert spaces. Zbl 1326.47099Takahashi, Wataru; Xu, Hong-Kun; Yao, Jen-Chin 29 2015 Iterative solutions for zeros of accretive operators. Zbl 1028.65060Domínguez Benavides, Tomás; López Acedo, Genaro; Xu, Hong-Kun 29 2003 Strong convergence theorems for a common fixed point of two hemi-relatively nonexpansive mappings. Zbl 1206.47088Su, Yongfu; Wang, Ziming; Xu, Hongkun 26 2009 Iterative methods for finding minimum-norm fixed points of nonexpansive mappings with applications. Zbl 1368.47093Yao, Yonghong; Xu, Hong-Kun 25 2011 Construction of sunny expansive retractions in Banach spaces. Zbl 1017.47037Domínguez Benavides, Tomás; López Acedo, Genaro; Xu, Hong-Kun 24 2002 Metric fixed point theory for multivalued mappings. Zbl 0972.47041Xu, Hong-Kun 24 2000 The implicit midpoint rule for nonexpansive mappings. Zbl 1332.47037Alghamdi, Maryam A.; Alghamdi, Mohammad Ali; Shahzad, Naseer; Xu, Hong-Kun 23 2014 Remarks on the gradient-projection algorithm. Zbl 1413.90272Su, Meng; Xu, Hong Kun 22 2010 Perturbation techniques for nonexpansive mappings with applications. Zbl 1163.47306Lopez, Genaro; Martin, Victoria; Xu, Hong-Kun 22 2009 On the proximal Jacobian decomposition of ALM for multiple-block separable convex minimization problems and its relationship to ADMM. Zbl 1371.65052He, Bingsheng; Xu, Hong-Kun; Yuan, Xiaoming 21 2016 Strong convergence of an iterative method with perturbed mappings for nonexpansive and accretive operators. Zbl 1140.47050Ceng, Lu-Chuan; Xu, Hong-Kun; Yao, Jen-Chih 20 2008 Approximating curves of nonexpansive nonself-mappings in Banach spaces. Zbl 0888.47036Xu, Hong-Kun 20 1997 Random fixed points of set-valued operators. Zbl 0841.47032Domínguez Benavides, Tomás; López Acedo, Genaro; Xu, Hong-Kun 20 1996 On weakly nonexpansive and *-nonexpansive multivalued mappings. Zbl 0733.54010Xu, Hongkun 20 1991 A nonlinear ergodic theorem for asymptotically nonexpansive mappings. Zbl 0752.47024Tan, Kok-Keong; Xu, Hong-Kun 19 1992 A note on the Ishikawa iteration scheme. Zbl 0776.47042Xu, Hong-Kun 18 1992 On the missing eigenvalue problem for an inverse Sturm-Liouville problem. Zbl 1176.34012Wei, Guangsheng; Xu, Hong-Kun 17 2009 Remarks on an iterative method for nonexpansive mappings. Zbl 1035.47035Xu, Hong-K. 17 2003 Inverse spectral problem with partial information given on the potential and norming constants. Zbl 1255.34017Wei, Guangsheng; Xu, Hong-Kun 16 2012 Strong convergence of approximating fixed point sequences for nonexpansive mappings. Zbl 1126.47056Xu, Hong-Kun 16 2006 Remarks on multivalued nonexpansive mappings. Zbl 0826.47037López Acedo, Genaro; Xu, Hong-Kun 16 1995 Properties and iterative methods for the lasso and its variants. Zbl 1295.47064Xu, Hong-Kun 15 2014 Strong asymptotic behavior of almost-orbits of nonlinear semigroups. Zbl 0993.47038Xu, Hong-Kun 15 2001 Remarks on asymptotically nonexpansive mappings. Zbl 0957.47037Kim, Tae-Hwa; Xu, Hong-Kun 15 2000 Fixed point theorems for Lipschitzian semigroups in Banach spaces. Zbl 0781.47044Tan, Kok-Keong; Xu, Hong-Kun 15 1993 Positive solutions of a Lotka-Volterra competition model with cross-diffusion. Zbl 1367.92129Jia, Yunfeng; Wu, Jianhua; Xu, Hong-Kun 14 2014 Robustness of Mann’s algorithm for nonexpansive mappings. Zbl 1110.47057Kim, Tae-Hwa; Xu, Hong-Kun 13 2007 An iterative approach to a constrained least squares problem. Zbl 1053.65041Reich, Simeon; Xu, Hong-Kun 13 2003 Boundary value problems for functional differential equations. Zbl 0972.34054Xu, Hong-Kun; Liz, Eduardo 13 2000 Existence of solutions for a second-order differential equation with non-instantaneous impulses and delay. Zbl 1344.34084Colao, Vittorio; Muglia, Luigi; Xu, Hong-Kun 12 2016 Inverse spectral analysis for the transmission eigenvalue problem. Zbl 1293.35189Wei, Guangsheng; Xu, Hong-Kun 12 2013 Regularization and iteration methods for a class of monotone variational inequalities. Zbl 1179.58008Chen, Rudong; Su, Yongfu; Xu, Hong-Kun 12 2009 Random fixed point theorems for nonlinear uniformly Lipschitzian mappings. Zbl 0864.47051Xu, Hongkun 12 1996 On fixed point theorems of nonexpansive mappings in product spaces. Zbl 0747.47040Tan, Kok-Keong; Xu, Hongkun 12 1991 An existence result for a new class of impulsive functional differential equations with delay. Zbl 1353.34092Colao, Vittorio; Muglia, Luigi; Xu, Hong-Kun 11 2016 Weak and strong convergence theorems for variational inequality and fixed point problems with Tseng’s extragradient method. Zbl 06062768Wang, Fenghui; Xu, Hong-Kun 11 2012 Approximations to fixed points of contraction semigroups in Hilbert spaces. Zbl 0908.47057Xu, Hong-Kun 11 1998 Weak uniform normal structure and iterative fixed points of nonexpansive mappings. Zbl 0845.46006Domínguez Benavides, Tomás; López Acedo, Genaro; Xu, Hong-Kun 11 1995 Extremal solutions of a class of nonlinear integro-differential equations in Banach spaces. Zbl 0888.45007Xu, Hong-Kun; Nieto, Juan J. 10 1997 A new geometrical coefficient for Banach spaces and its applications in fixed point theory. Zbl 0830.47041Dominguez Benavides, Tomás; Xu, Hong-Kun 10 1995 A random fixed point theorem for multivalued nonexpansive operators in uniformly convex Banach spaces. Zbl 0808.47044Xu, Hongkun 10 1993 An ergodic theorem for nonlinear semigroups of Lipschitzian mappings in Banach spaces. Zbl 0782.47058Tan, Kok-Keong; Xu, Hong-Kun 10 1992 Strong convergence for the proximal-gradient method. Zbl 1295.46058Wang, Yamin; Xu, Hong-Kun 9 2014 A modified extragradient method for the split feasibility and fixed point problems. Zbl 1283.47067Yao, Yonghong; Kim, Tae Hwa; Chebbi, Souhail; Xu, Hong-Kun 9 2012 Solutions of the kinetic theory for bounded collisional granular flows. Zbl 1068.76562Xu, H.; Louge, M.; Reeves, A. 9 2003 Uniformly Lipschitzian mappings in metric spaces with uniform normal structure. Zbl 0845.47045Lim, T.-C.; Xu, Hong-Kun 9 1995 Fixed point theorems for uniformly Lipschitzian semigroups in uniformly convex spaces. Zbl 0722.47050Xu, Hongkun 9 1990 Porosity of mutually nearest and mutually furthest points in Banach spaces. Zbl 1038.41014Li, Chong; Xu, Hong-Kun 8 2003 Construction of minimum-norm fixed points of pseudocontractions in Hilbert spaces. Zbl 1309.47085Yao, Yonghong; Marino, Giuseppe; Xu, Hong-Kun; Liou, Yeong-Cheng 7 2014 Subdifferentials of perturbed distance functions in Banach spaces. Zbl 1192.49020Wang, Jin-Hua; Li, Chong; Xu, Hong-Kun 7 2010 Variational inequalities governed by boundedly Lipschitzian and strongly monotone operators. Zbl 1192.58009He, Songnian; Xu, Hong-Kun 7 2009 The selective projection method for convex feasibility and split feasibility problems. Zbl 07289900He, Songnian; Tian, Hanlin; Xu, Hong-Kun 4 2018 A note on the accelerated proximal gradient method for nonconvex optimization. Zbl 1449.90300Wang, Huijuang; Xu, Hong-Kun 1 2018 Analysis on the existence of the steady-states for an ecological-mathematical model with predator-prey-dependent functional response. Zbl 1431.92124Jia, Yunfeng; Luo, Bimei; Wu, Jianhua; Xu, Hong-Kun 1 2018 A strongly convergent modification of the proximal point algorithm in nonsmooth Banach spaces. Zbl 1391.90470Chebbi, Souhail; Altwaijry, Najla; Xu, Hong-Kun 1 2018 Bounded perturbation resilience and superiorization techniques for the projected scaled gradient method. Zbl 1372.65185Xu, Hong-Kun 4 2017 Periodicity of solutions to the Cauchy problem for nonautonomous impulsive delay evolution equations in Banach spaces. Zbl 1364.47047Liang, Jin; Liu, James H.; Xiao, Ti-Jun; Xu, Hong-Kun 3 2017 Projection algorithms for composite minimization. Zbl 1399.90209Yang, Xiaonan; Xu, Hong-Kun 1 2017 An unconstrained optimization approach to the split feasibility problem. Zbl 06876326Xu, Hong-Kun; Alghamdi, Maryam A.; Shahzad, Naseer 1 2017 Solvability of split vector variational inequalities in Banach spaces. Zbl 1390.49007Li, Jinlu; Xu, Hong-Kun 1 2017 Splitting methods for split feasibility problems with application to Dantzig selectors. Zbl 1367.65088He, Hongjin; Xu, Hong-Kun 1 2017 Perturbation resilience and superiorization methodology of averaged mappings. Zbl 1366.65061He, Hongjin; Xu, Hong-Kun 1 2017 On the proximal Jacobian decomposition of ALM for multiple-block separable convex minimization problems and its relationship to ADMM. Zbl 1371.65052He, Bingsheng; Xu, Hong-Kun; Yuan, Xiaoming 21 2016 Existence of solutions for a second-order differential equation with non-instantaneous impulses and delay. Zbl 1344.34084Colao, Vittorio; Muglia, Luigi; Xu, Hong-Kun 12 2016 An existence result for a new class of impulsive functional differential equations with delay. Zbl 1353.34092Colao, Vittorio; Muglia, Luigi; Xu, Hong-Kun 11 2016 Error sensitivity for strongly convergent modifications of the proximal point algorithm. Zbl 1345.47052Wang, Yamin; Wang, Fenghui; Xu, Hong-Kun 6 2016 The implicit midpoint rule for nonexpansive mappings in Banach spaces. Zbl 06633841Xu, Hong-Kun; Alghamdi, Maryam A.; Shahzad, Naseer 4 2016 An implementable splitting algorithm for the \(\ell_1\)-norm regularized split feasibility problem. Zbl 1339.65030He, Hongjin; Ling, Chen; Xu, Hong-Kun 4 2016 Penalized sample average approximation methods for stochastic programs in economic and secure dispatch of a power system. Zbl 1397.90246Tong, X. J.; Xu, H.; Wu, F. F.; Zhao, Z. 1 2016 Properties and splitting method for the \(p\)-elastic net. Zbl 06661935Altwaijry, Najla; Chebbi, Souhail; Xu, Hong-Kun 1 2016 Matrix approaches to approximate solutions of variational inequalities in Hilbert spaces. Zbl 06587811Cianciaruso, Filomena; Marino, Giuseppe; Muglia, Luigi; Xu, Hong-Kun 1 2016 The viscosity technique for the implicit midpoint rule of nonexpansive mappings in Hilbert spaces. Zbl 1310.47106Xu, Hong-Kun; Alghamdi, Maryam A.; Shahzad, Naseer 32 2015 Iterative methods for generalized split feasibility problems in Hilbert spaces. Zbl 1326.47099Takahashi, Wataru; Xu, Hong-Kun; Yao, Jen-Chin 29 2015 Optimal control of uncertain quantized linear discrete-time systems. Zbl 1330.93150Zhao, Q.; Xu, H.; Jagannathan, S. 4 2015 A relaxed projection method for split variational inequalities. Zbl 1323.65079He, Hongjin; Ling, Chen; Xu, Hong-Kun 3 2015 On the missing bound state data of inverse spectral-scattering problems on the half-line. Zbl 1326.34035Wei, Guangsheng; Xu, Hong-Kun 3 2015 The supporting hyperplane and an alternative to solutions of variational inequalities. Zbl 1341.49011Nguyen, Huu Quang; Xu, Hong-Kun 2 2015 Ergodicity of the implicit midpoint rule for nonexpansive mappings. Zbl 1338.47074Xu, Hong-Kun; Alghamdi, Maryam A.; Shahzad, Naseer 1 2015 Weak convergence of iterative methods for two accretive operators in Banach spaces. Zbl 1338.47112Wang, Yuan-Heng; Chebbi, Souhail; Xu, Hong-Kun 1 2015 A CS decomposition for orthogonal matrices with application to eigenvalue computation. Zbl 1316.65044Calvetti, D.; Reichel, L.; Xu, H. 1 2015 A new accuracy criterion for the contraction proximal point algorithm with two monotone operators. Zbl 1311.47098Wang, Yamin; Xu, Hong-Kun 1 2015 The implicit midpoint rule for nonexpansive mappings. Zbl 1332.47037Alghamdi, Maryam A.; Alghamdi, Mohammad Ali; Shahzad, Naseer; Xu, Hong-Kun 23 2014 Properties and iterative methods for the lasso and its variants. Zbl 1295.47064Xu, Hong-Kun 15 2014 Positive solutions of a Lotka-Volterra competition model with cross-diffusion. Zbl 1367.92129Jia, Yunfeng; Wu, Jianhua; Xu, Hong-Kun 14 2014 Strong convergence for the proximal-gradient method. Zbl 1295.46058Wang, Yamin; Xu, Hong-Kun 9 2014 Construction of minimum-norm fixed points of pseudocontractions in Hilbert spaces. Zbl 1309.47085Yao, Yonghong; Marino, Giuseppe; Xu, Hong-Kun; Liou, Yeong-Cheng 7 2014 Hybrid method for a class of accretive variational inequalities involving nonexpansive mappings. Zbl 06780067Wang, Yaqin; Xu, Hong-kun 1 2014 Weak continuity of the normalized duality map. Zbl 1300.46011Xu, Hong-Kun; Kim, Tae Hwa; Yin, Ximing 1 2014 Inverse spectral analysis for the transmission eigenvalue problem. Zbl 1293.35189Wei, Guangsheng; Xu, Hong-Kun 12 2013 Uniqueness of supporting hyperplanes and an alternative to solutions of variational inequalities. Zbl 1298.47072He, Songnian; Xu, Hong-Kun 6 2013 Properties and iterative methods for the \(Q\)-lasso. Zbl 1359.94052Alghamdi, Maryam A.; Alghamdi, Mohammad Ali; Shahzad, Naseer; Xu, Hong-Kun 4 2013 Spatial pattern in an ecosystem of phytoplankton-nutrient from remote sensing. Zbl 1263.35205Jia, Yunfeng; Wu, Jianhua; Xu, Hong-Kun 3 2013 A Halpern-Lions-Reich-like iterative method for nonexpansive mappings. Zbl 1366.47004Al-Rumaih, Zahra; Chebbi, Souhail; Xu, Hong-Kun 1 2013 A compactness result for differentiable functions with an application to boundary value problems. Zbl 1275.46020Cianciaruso, Filomena; Colao, Vittorio; Marino, Giuseppe; Xu, Hong-Kun 1 2013 Relaxed viscosity approximation methods with regularization for constrained minimization problems. Zbl 1266.90140Ceng, Lu-Chuan; Xu, Hong-Kun; Wen, Ching-Feng 1 2013 On qualitative analysis for a two competing fish species model with a combined non-selective harvesting effort in the presence of toxicity. Zbl 1303.92099Jia, Yunfeng; Wu, Jianhua; Xu, Hong-Kun 1 2013 Solving the split feasibility problem without prior knowledge of matrix norms. Zbl 1262.90193López, Genaro; Martín-Márquez, Victoria; Wang, Fenghui; Xu, Hong-Kun 120 2012 Existence of mild solutions for fractional integrodifferential equations of Sobolev type with nonlocal conditions. Zbl 1242.45009Li, Fang; Liang, Jin; Xu, Hong-Kun 66 2012 Forward-backward splitting methods for accretive operators in Banach spaces. Zbl 1252.47043López, Genaro; Martín-Márquez, Victoria; Wang, Fenghui; Xu, Hong-Kun 31 2012 Inverse spectral problem with partial information given on the potential and norming constants. Zbl 1255.34017Wei, Guangsheng; Xu, Hong-Kun 16 2012 Weak and strong convergence theorems for variational inequality and fixed point problems with Tseng’s extragradient method. Zbl 06062768Wang, Fenghui; Xu, Hong-Kun 11 2012 A modified extragradient method for the split feasibility and fixed point problems. Zbl 1283.47067Yao, Yonghong; Kim, Tae Hwa; Chebbi, Souhail; Xu, Hong-Kun 9 2012 On nonlinear neutral fractional integrodifferential inclusions with infinite delay. Zbl 1244.45003Li, Fang; Xiao, Ti-Jun; Xu, Hong-Kun 5 2012 Noncompact equilibrium points and applications. Zbl 1245.49005Al-Rumaih, Zahra; Chebbi, Souhail; Xu, Hong Kun 4 2012 Implicit and explicit algorithms for minimum-norm fixed points of pseudocontractions in Hilbert spaces. Zbl 1293.47068Yao, Yonghong; Colao, Vittorio; Marino, Giuseppe; Xu, Hong-Kun 3 2012 A duality fixed point theorem and applications. Zbl 1327.47051Su, Yongfu; Xu, Hongkun 2 2012 Strong convergence theorems for generalized equilibrium, variational inequalities and nonlinear operators. Zbl 1255.47070Wang, Yaqin; Xu, Hong-Kun; Yin, Ximing 2 2012 Averaged mappings and the gradient-projection algorithm. Zbl 1233.90280Xu, Hong-Kun 103 2011 Cyclic algorithms for split feasibility problems in Hilbert spaces. Zbl 1308.47079Wang, Fenghui; Xu, Hong-Kun 83 2011 Explicit hierarchical fixed point approach to variational inequalities. Zbl 1221.49012Marino, Giuseppe; Xu, Hong-Kun 36 2011 Iterative methods for finding minimum-norm fixed points of nonexpansive mappings with applications. Zbl 1368.47093Yao, Yonghong; Xu, Hong-Kun 25 2011 Existence of positive solutions for a prey-predator model with refuge and diffusion. Zbl 1215.92064Jia, Yunfeng; Xu, Hong-Kun; Agarwal, Ravi P. 6 2011 Existence of best simultaneous approximations in \(L_p (S,\, \varSigma,\, X)\). Zbl 1232.46037Luo, Xian-Fa; Li, Chong; Xu, Hong-Kun; Yao, Jen-Chih 4 2011 Choices of variable steps of the CQ algorithm for the split feasibility problem. Zbl 06025203Wang, Fenghui; Xu, Hong-Kun; Su, Meng 3 2011 Positive solutions for a predator-prey interaction model with Holling-type functional response and diffusion. Zbl 1230.92051Jia, Yunfeng; Wu, Jianhua; Xu, Hong-Kun 1 2011 Notes on graph-convergence for maximal monotone operators. Zbl 1216.47080Cianciaruso, Filomena; Marino, Giuseppe; Muglia, Luigi; Xu, Hong-Kun 1 2011 Iterative methods for the split feasibility problem in infinite-dimensional Hilbert spaces. Zbl 1213.65085Xu, Hong-Kun 186 2010 Schemes for finding minimum-norm solutions of variational inequalities. Zbl 1183.49012Yao, Yonghong; Chen, Rudong; Xu, Hong-Kun 55 2010 Approximating curve and strong convergence of the \(CQ\) algorithm for the split feasibility problem. Zbl 1189.65107Wang, Fenghui; Xu, Hong-Kun 54 2010 Strong convergence theorems for two countable families of weak relatively nonexpansive mappings and applications. Zbl 1215.47091Su, Yongfu; Xu, Hong-Kun; Zhang, Xin 43 2010 Viscosity method for hierarchical fixed point approach to variational inequalities. Zbl 1215.47099Xu, Hong-Kun 32 2010 Remarks on the gradient-projection algorithm. Zbl 1413.90272Su, Meng; Xu, Hong Kun 22 2010 Subdifferentials of perturbed distance functions in Banach spaces. Zbl 1192.49020Wang, Jin-Hua; Li, Chong; Xu, Hong-Kun 7 2010 Strongly convergent iterative algorithms for solving a class of variational inequalities. Zbl 1209.47031Wang, Fenghui; Xu, Hong-Kun 6 2010 Halpern’s iteration for nonexpansive mappings. Zbl 1218.47109López, Genaro; Martín-Márquez, Victoria; Xu, Hong-Kun 6 2010 An alternative regularization method for nonexpansive mappings with applications. Zbl 1220.47132Xu, Hong-Kun 5 2010 Regularization and iterative methods for monotone variational inequalities. Zbl 1185.49015Xu, Xiubin; Xu, Hong-Kun 4 2010 Inverse spectral problem for a string equation with partial information. Zbl 1219.34019Wei, Guangsheng; Xu, Hong-Kun 3 2010 Uniformly normal structure and uniformly Lipschitzian semigroups. Zbl 1250.47055Ceng, Lu-Chuan; Xu, Hong-Kun; Yao, Jen-Chih 3 2010 Health care supply networks in tightly and loosely coupled structures: exploration using agent-based modelling. Zbl 1292.93011Kanagarajah, A.; Parker, D.; Xu, H. 1 2010 On two iterative methods for mixed monotone variational inequalities. Zbl 1185.49008Lu, Xiwen; Xu, Hong-Kun; Yin, Ximing 1 2010 Asymptotically strict pseudocontractive mappings in the intermediate sense. Zbl 1221.47122Sahu, D. R.; Xu, Hong-Kun; Yao, Jen-Chih 62 2009 Hybrid methods for a class of monotone variational inequalities. Zbl 1176.90462Lu, Xiwen; Xu, Hong-Kun; Yin, Ximing 32 2009 On an implicit hierarchical fixed point approach to variational inequalities. Zbl 1168.49005Cianciaruso, Filomena; Colao, Vittorio; Muglia, Luigi; Xu, Hong-Kun 30 2009 Strong convergence theorems for a common fixed point of two hemi-relatively nonexpansive mappings. Zbl 1206.47088Su, Yongfu; Wang, Ziming; Xu, Hongkun 26 2009 Perturbation techniques for nonexpansive mappings with applications. Zbl 1163.47306Lopez, Genaro; Martin, Victoria; Xu, Hong-Kun 22 2009 On the missing eigenvalue problem for an inverse Sturm-Liouville problem. Zbl 1176.34012Wei, Guangsheng; Xu, Hong-Kun 17 2009 Regularization and iteration methods for a class of monotone variational inequalities. Zbl 1179.58008Chen, Rudong; Su, Yongfu; Xu, Hong-Kun 12 2009 Variational inequalities governed by boundedly Lipschitzian and strongly monotone operators. Zbl 1192.58009He, Songnian; Xu, Hong-Kun 7 2009 An iterative method for finding common solutions of equilibrium and fixed point problems. Zbl 1141.47040Colao, Vittorio; Marino, Giuseppe; Xu, Hong-Kun 104 2008 Asymptotic pointwise contractions. Zbl 1172.47038Kirk, W. A.; Xu, Hong-Kun 66 2008 Convergence of the modified Mann’s iteration method for asymptotically strict pseudo-contractions. Zbl 1220.47100Kim, Tae-Hwa; Xu, Hong-Kun 53 2008 The viscosity approximation method for asymptotically nonexpansive mappings in Banach spaces. Zbl 1142.47326Ceng, Lu-Chuan; Xu, Hong-Kun; Yao, Jen-Chih 30 2008 Strong convergence of an iterative method with perturbed mappings for nonexpansive and accretive operators. Zbl 1140.47050Ceng, Lu-Chuan; Xu, Hong-Kun; Yao, Jen-Chih 20 2008 A hybrid steepest-descent method for variational inequalities in Hilbert spaces. Zbl 1158.47050Ceng, Lu-Chuan; Xu, Hong-Kun; Yao, Jen-Chih 7 2008 Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces. Zbl 1116.47053Marino, Giuseppe; Xu, Hong-Kun 306 2007 Iterative methods for strict pseudo-contractions in Hilbert spaces. Zbl 1133.47050Acedo, Genaro Lopez; Xu, Hong-Kun 120 2007 Robustness of Mann’s algorithm for nonexpansive mappings. Zbl 1110.47057Kim, Tae-Hwa; Xu, Hong-Kun 13 2007 Strong convergence of a hybrid viscosity approximation method with perturbed mappings for nonexpansive and accretive operators. Zbl 1219.47102Ceng, Lu-Chuan; Xu, Hong-Kun 3 2007 A general iterative method for nonexpansive mappings in Hilbert spaces. Zbl 1095.47038Marino, Giuseppe; Xu, Hong-Kun 315 2006 A variable Krasnosel’skiĭ–Mann algorithm and the multiple-set split feasibility problem. Zbl 1126.47057Xu, Hong-Kun 242 2006 ...and 91 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,093 Authors 157 Ceng, Lu-Chuan 153 Yao, Jen-Chih 140 Kumam, Poom 128 Yao, Yonghong 108 Chang, Shih-Sen 106 Cho, Yeol Je 104 Liou, Yeongcheng 95 Kang, Shin Min 92 Qin, Xiaolong 88 Xu, Hong-Kun 84 Shehu, Yekini 79 Shahzad, Naseer 79 Zegeye, Habtu 78 Suantai, Suthep 67 Chidume, Charles Ejike 65 Su, Yongfu 61 Chen, Rudong 53 Takahashi, Wataru 52 Wen, Chingfeng 50 Marino, Giuseppe 50 Zhou, Haiyun 49 Cholamjiak, Prasit 48 Kim, Jong Kyu 47 He, Songnian 45 Song, Yisheng 41 Mewomo, Oluwatosin Temitope 41 Wangkeeree, Rabian 39 Cho, Sun Young 39 Kangtunyakarn, Atid 38 Ansari, Qamrul Hasan 36 Jung, Jong Soo 35 Plubtieng, Somyot 33 Latif, Abdul 33 Saejung, Satit 33 Wang, Lin 29 Cai, Gang 29 Dang Van Hieu 29 Dong, Qiaoli 29 Dương Việt Thông 28 Eslamian, Mohammad 28 Noor, Muhammad Aslam 28 Sahu, Daya Ram 27 Trương Minh Tuyên 26 Agarwal, Ravi P. 26 Ali, Bashir 26 Tian, Ming 25 Muglia, Luigi 25 Rafiq, Arif 24 Chan, Chi Kin 24 Panyanak, Bancha 24 Wang, Fenghui 23 Huang, Nan-Jing 23 Hussain, Nawab 23 Iyiola, Olaniyi Samuel 22 Reich, Simeon 22 Sunthrayuth, Pongsakorn 22 Zhao, Jing 21 Gibali, Aviv 21 Izuchukwu, Chinedu 21 Khan, Abdul Rahim 21 Lee, H. W. Joseph 21 Shang, Meijuan 21 Wong, Ngai-Ching 20 Hu, Changsong 20 Pang, Chin-Tzong 20 Postolache, Mihai 19 Cholamjiak, Watcharaporn 19 Kazmi, Kaleem Raza 18 Fukhar-Ud-Din, Hafiz 18 Khamsi, Mohamed Amine 18 Ofoedu, Eric U. 18 Wang, Shenghua 17 Colao, Vittorio 17 He, Huimin 17 Ogbuisi, Ferdinard Udochukwu 17 Ugwunnadi, Godwin Chidi 16 Abbas, Mujahid 16 Chuang, Chih-Sheng 16 Jaiboon, Chaichana 16 Lan, Hengyou 16 Naraghirad, Eskandar 16 Tang, Yuchao 16 Wang, Yaqin 15 Abdou, Afrah Ahmad Noan 15 Boikanyo, Oganeditse Aaron 15 Buong, Nguyen 15 Jitpeera, Thanyarat 15 Jolaoso, Lateef Olakunle 15 Katchang, Phayap 15 Lin, Lai-Jiu 15 Petruşel, Adrian 15 Saewan, Siwaporn 15 Yang, Li 14 Dhompongsa, Sompong 14 Hao, Yan 14 Kim, Tae Hwa 14 Li, Chong 14 Moudafi, Abdellatif 14 Muu, Le Dung 14 Nilsrakoo, Weerayuth ...and 1,993 more Authors all top 5 Cited in 270 Serials 572 Fixed Point Theory and Applications 231 Journal of Inequalities and Applications 226 Nonlinear Analysis. 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