# zbMATH — the first resource for mathematics

## Xu, Hong-Kun

Compute Distance To:
 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, Yaqin 3 Wang, Yuqiao 3 Xiao, Ti-Jun 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 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, Zi-Ming 1 Wei, Liling 1 Wen, Chingfeng 1 Xu, Xiubin 1 Yamada, Isao 1 Yang, Xiaonan 1 Yuan, Xiaoming 1 Zaccone, Roberta ...and 1 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)

#### Citations contained in zbMATH

190 Publications have been cited 7,642 times in 3,514 Documents Cited by Year
Iterative algorithms for nonlinear operators. Zbl 1013.47032
Xu, Hong-Kun
2002
Inequalities in Banach spaces with applications. Zbl 0757.46033
Xu, Hong-Kun
1991
Viscosity approximation methods for nonexpansive mappings. Zbl 1061.47060
Xu, Hong-Kun
2004
An iterative approach to quadratic optimization. Zbl 1043.90063
Xu, H. K.
2003
Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process. Zbl 0895.47048
Tan, Kok-Keong; Xu, Hong-Kun
1993
A general iterative method for nonexpansive mappings in Hilbert spaces. Zbl 1095.47038
Marino, Giuseppe; Xu, Hong-Kun
2006
Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces. Zbl 1116.47053
Marino, Giuseppe; Xu, Hong-Kun
2007
A variable Krasnosel’skiĭ–Mann algorithm and the multiple-set split feasibility problem. Zbl 1126.47057
Xu, Hong-Kun
2006
Strong convergence of the CQ method for fixed point iteration processes. Zbl 1105.47060
Martinez-Yanes, Carlos; Xu, Hong-Kun
2006
Iterative methods for the split feasibility problem in infinite-dimensional Hilbert spaces. Zbl 1213.65085
Xu, Hong-Kun
2010
Convergence of hybrid steepest-descent methods for variational inequalities. Zbl 1045.49018
Xu, H. K.; Kim, T. H.
2003
Another control condition in an iterative method for nonexpansive mappings. Zbl 1030.47036
Xu, Hong-Kun
2002
An implicit iteration process for nonexpansive mappings. Zbl 0999.47043
Xu, Hong-Kun; Ori, Ramesh G.
2001
Strong convergence of modified Mann iterations. Zbl 1091.47055
Kim, Tae-Hwa; Xu, Hong-Kun
2005
Iterative methods for strict pseudo-contractions in Hilbert spaces. Zbl 1133.47050
Acedo, Genaro Lopez; Xu, Hong-Kun
2007
Solving the split feasibility problem without prior knowledge of matrix norms. Zbl 1262.90193
López, Genaro; Martín-Márquez, Victoria; Wang, Fenghui; Xu, Hong-Kun
2012
Fixed point theorems for asymptotically nonexpansive mappings. Zbl 0812.47058
Lim, Teck-Cheong; Xu, Hong-Kun
1994
Fixed point iteration processes for asymptotically nonexpansive mappings. Zbl 0820.47071
Tan, Kok-Keong; Xu, Hong-Kun
1994
An iterative method for finding common solutions of equilibrium and fixed point problems. Zbl 1141.47040
Colao, Vittorio; Marino, Giuseppe; Xu, Hong-Kun
2008
Strong convergence of an iterative method for nonexpansive and accretive operators. Zbl 1086.47060
Xu, Hong-Kun
2006
Averaged mappings and the gradient-projection algorithm. Zbl 1233.90280
Xu, Hong-Kun
2011
Strong convergence of modified Mann iterations for asymptotically nonexpansive mappings and semigroups. Zbl 1090.47059
Kim, Tae-Hwa; Xu, Hong-Kun
2006
Existence and convergence for fixed points of mappings of asymptotically nonexpansive type. Zbl 0747.47041
Xu, Hong-Kun
1991
Cyclic algorithms for split feasibility problems in Hilbert spaces. Zbl 1308.47079
Wang, Fenghui; Xu, Hong-Kun
2011
Convergence of generalized proximal point algorithms. Zbl 1095.90115
Marino, Giuseppe; Xu, Hong-Kun
2004
A regularization method for the proximal point algorithm. Zbl 1131.90062
Xu, Hong-Kun
2006
Asymptotic pointwise contractions. Zbl 1172.47038
Kirk, W. A.; Xu, Hong-Kun
2008
Existence of mild solutions for fractional integrodifferential equations of Sobolev type with nonlocal conditions. Zbl 1242.45009
Li, Fang; Liang, Jin; Xu, Hong-Kun
2012
Asymptotically strict pseudocontractive mappings in the intermediate sense. Zbl 1221.47122
Sahu, D. R.; Xu, Hong-Kun; Yao, Jen-Chih
2009
A strong convergence theorem for contraction semigroups in Banach spaces. Zbl 1095.47016
Xu, Hong-Kun
2005
Iterative approaches to convex feasibility problems in Banach spaces. Zbl 1139.47056
O’Hara, John G.; Pillay, Paranjothi; Xu, Hong-Kun
2006
Demiclosedness principle and asymptotic behavior for asymptotically nonexpansive mappings. Zbl 0865.47040
Lin, Pei-Kee; Tan, Kok-Keong; Xu, Hong Kun
1995
Schemes for finding minimum-norm solutions of variational inequalities. Zbl 1183.49012
Yao, Yonghong; Chen, Rudong; Xu, Hong-Kun
2010
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
2003
Iterative solutions to nonlinear equations of strongly accretive operators in Banach spaces. Zbl 0834.47048
Tan, Kok-Keong; Xu, Hong-Kun
1993
Approximating curve and strong convergence of the $$CQ$$ algorithm for the split feasibility problem. Zbl 1189.65107
Wang, Fenghui; Xu, Hong-Kun
2010
Convergence of the modified Mann’s iteration method for asymptotically strict pseudo-contractions. Zbl 1220.47100
Kim, Tae-Hwa; Xu, Hong-Kun
2008
Strong convergence theorems for two countable families of weak relatively nonexpansive mappings and applications. Zbl 1215.47091
Su, Yongfu; Xu, Hong-Kun; Zhang, Xin
2010
The nonlinear ergodic theorem for asymptotically nonexpansive mappings in Banach spaces. Zbl 0781.47045
Tan, Kok-Keong; Xu, Hongkun
1992
Strong convergence theorems for nonexpansive nonself-mappings. Zbl 0826.47038
Xu, Hong-Kun; Yin, Xi-Ming
1995
Some random fixed point theorems for condensing and nonexpansive operators. Zbl 0716.47029
Xu, Hongkun
1990
Explicit hierarchical fixed point approach to variational inequalities. Zbl 1221.49012
Marino, Giuseppe; Xu, Hong-Kun
2011
Multivalued nonexpansive mappings in Banach spaces. Zbl 0988.47034
Xu, Hong-Kun
2001
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
2015
Viscosity method for hierarchical fixed point approach to variational inequalities. Zbl 1215.47099
Xu, Hong-Kun
2010
Hybrid methods for a class of monotone variational inequalities. Zbl 1176.90462
Lu, Xiwen; Xu, Hong-Kun; Yin, Ximing
2009
Forward-backward splitting methods for accretive operators in Banach spaces. Zbl 1252.47043
López, Genaro; Martín-Márquez, Victoria; Wang, Fenghui; Xu, Hong-Kun
2012
On an implicit hierarchical fixed point approach to variational inequalities. Zbl 1168.49005
Cianciaruso, Filomena; Colao, Vittorio; Muglia, Luigi; Xu, Hong-Kun
2009
The viscosity approximation method for asymptotically nonexpansive mappings in Banach spaces. Zbl 1142.47326
Ceng, Lu-Chuan; Xu, Hong-Kun; Yao, Jen-Chih
2008
Iterative solutions for zeros of accretive operators. Zbl 1028.65060
Domínguez Benavides, Tomás; López Acedo, Genaro; Xu, Hong-Kun
2003
Iterative methods for generalized split feasibility problems in Hilbert spaces. Zbl 1326.47099
Takahashi, Wataru; Xu, Hong-Kun; Yao, Jen-Chin
2015
Strong convergence theorems for a common fixed point of two hemi-relatively nonexpansive mappings. Zbl 1206.47088
Su, Yongfu; Wang, Ziming; Xu, Hongkun
2009
Iterative methods for finding minimum-norm fixed points of nonexpansive mappings with applications. Zbl 1368.47093
Yao, Yonghong; Xu, Hong-Kun
2011
Construction of sunny expansive retractions in Banach spaces. Zbl 1017.47037
Domínguez Benavides, Tomás; López Acedo, Genaro; Xu, Hong-Kun
2002
Metric fixed point theory for multivalued mappings. Zbl 0972.47041
Xu, Hong-Kun
2000
The implicit midpoint rule for nonexpansive mappings. Zbl 1332.47037
2014
Remarks on the gradient-projection algorithm. Zbl 1413.90272
Su, Meng; Xu, Hong Kun
2010
Perturbation techniques for nonexpansive mappings with applications. Zbl 1163.47306
Lopez, Genaro; Martin, Victoria; Xu, Hong-Kun
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
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
2008
Random fixed points of set-valued operators. Zbl 0841.47032
Domínguez Benavides, Tomás; López Acedo, Genaro; Xu, Hong-Kun
1996
On weakly nonexpansive and *-nonexpansive multivalued mappings. Zbl 0733.54010
Xu, Hongkun
1991
Approximating curves of nonexpansive nonself-mappings in Banach spaces. Zbl 0888.47036
Xu, Hong-Kun
1997
A nonlinear ergodic theorem for asymptotically nonexpansive mappings. Zbl 0752.47024
Tan, Kok-Keong; Xu, Hong-Kun
1992
On the missing eigenvalue problem for an inverse Sturm-Liouville problem. Zbl 1176.34012
Wei, Guangsheng; Xu, Hong-Kun
2009
Remarks on an iterative method for nonexpansive mappings. Zbl 1035.47035
Xu, Hong-K.
2003
A note on the Ishikawa iteration scheme. Zbl 0776.47042
Xu, Hong-Kun
1992
Inverse spectral problem with partial information given on the potential and norming constants. Zbl 1255.34017
Wei, Guangsheng; Xu, Hong-Kun
2012
Strong convergence of approximating fixed point sequences for nonexpansive mappings. Zbl 1126.47056
Xu, Hong-Kun
2006
Strong asymptotic behavior of almost-orbits of nonlinear semigroups. Zbl 0993.47038
Xu, Hong-Kun
2001
Remarks on asymptotically nonexpansive mappings. Zbl 0957.47037
Kim, Tae-Hwa; Xu, Hong-Kun
2000
Remarks on multivalued nonexpansive mappings. Zbl 0826.47037
López Acedo, Genaro; Xu, Hong-Kun
1995
Fixed point theorems for Lipschitzian semigroups in Banach spaces. Zbl 0781.47044
Tan, Kok-Keong; Xu, Hong-Kun
1993
Positive solutions of a Lotka-Volterra competition model with cross-diffusion. Zbl 1367.92129
Jia, Yunfeng; Wu, Jianhua; Xu, Hong-Kun
2014
Properties and iterative methods for the lasso and its variants. Zbl 1295.47064
Xu, Hong-Kun
2014
Robustness of Mann’s algorithm for nonexpansive mappings. Zbl 1110.47057
Kim, Tae-Hwa; Xu, Hong-Kun
2007
An iterative approach to a constrained least squares problem. Zbl 1053.65041
Reich, Simeon; Xu, Hong-Kun
2003
Boundary value problems for functional differential equations. Zbl 0972.34054
Xu, Hong-Kun; Liz, Eduardo
2000
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
2016
Inverse spectral analysis for the transmission eigenvalue problem. Zbl 1293.35189
Wei, Guangsheng; Xu, Hong-Kun
2013
Regularization and iteration methods for a class of monotone variational inequalities. Zbl 1179.58008
Chen, Rudong; Su, Yongfu; Xu, Hong-Kun
2009
Random fixed point theorems for nonlinear uniformly Lipschitzian mappings. Zbl 0864.47051
Xu, Hongkun
1996
On fixed point theorems of nonexpansive mappings in product spaces. Zbl 0747.47040
Tan, Kok-Keong; Xu, Hongkun
1991
An existence result for a new class of impulsive functional differential equations with delay. Zbl 1353.34092
Colao, Vittorio; Muglia, Luigi; Xu, Hong-Kun
2016
Weak and strong convergence theorems for variational inequality and fixed point problems with Tseng’s extragradient method. Zbl 06062768
Wang, Fenghui; Xu, Hong-Kun
2012
Approximations to fixed points of contraction semigroups in Hilbert spaces. Zbl 0908.47057
Xu, Hong-Kun
1998
Weak uniform normal structure and iterative fixed points of nonexpansive mappings. Zbl 0845.46006
Domínguez Benavides, Tomás; López Acedo, Genaro; Xu, Hong-Kun
1995
Extremal solutions of a class of nonlinear integro-differential equations in Banach spaces. Zbl 0888.45007
Xu, Hong-Kun; Nieto, Juan J.
1997
A new geometrical coefficient for Banach spaces and its applications in fixed point theory. Zbl 0830.47041
Dominguez Benavides, Tomás; Xu, Hong-Kun
1995
A random fixed point theorem for multivalued nonexpansive operators in uniformly convex Banach spaces. Zbl 0808.47044
Xu, Hongkun
1993
An ergodic theorem for nonlinear semigroups of Lipschitzian mappings in Banach spaces. Zbl 0782.47058
Tan, Kok-Keong; Xu, Hong-Kun
1992
Strong convergence for the proximal-gradient method. Zbl 1295.46058
Wang, Yamin; Xu, Hong-Kun
2014
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
2012
Solutions of the kinetic theory for bounded collisional granular flows. Zbl 1068.76562
Xu, H.; Louge, M.; Reeves, A.
2003
Uniformly Lipschitzian mappings in metric spaces with uniform normal structure. Zbl 0845.47045
Lim, T.-C.; Xu, Hong-Kun
1995
Fixed point theorems for uniformly Lipschitzian semigroups in uniformly convex spaces. Zbl 0722.47050
Xu, Hongkun
1990
Porosity of mutually nearest and mutually furthest points in Banach spaces. Zbl 1038.41014
Li, Chong; Xu, Hong-Kun
2003
Construction of minimum-norm fixed points of pseudocontractions in Hilbert spaces. Zbl 1309.47085
Yao, Yonghong; Marino, Giuseppe; Xu, Hong-Kun; Liou, Yeong-Cheng
2014
Subdifferentials of perturbed distance functions in Banach spaces. Zbl 1192.49020
Wang, Jin-Hua; Li, Chong; Xu, Hong-Kun
2010
Variational inequalities governed by boundedly Lipschitzian and strongly monotone operators. Zbl 1192.58009
He, Songnian; Xu, Hong-Kun
2009
The selective projection method for convex feasibility and split feasibility problems. Zbl 07289900
He, Songnian; Tian, Hanlin; Xu, Hong-Kun
2018
A note on the accelerated proximal gradient method for nonconvex optimization. Zbl 1449.90300
Wang, Huijuang; Xu, Hong-Kun
2018
A strongly convergent modification of the proximal point algorithm in nonsmooth Banach spaces. Zbl 1391.90470
Chebbi, Souhail; Altwaijry, Najla; Xu, Hong-Kun
2018
Bounded perturbation resilience and superiorization techniques for the projected scaled gradient method. Zbl 1372.65185
Xu, Hong-Kun
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
2017
Projection algorithms for composite minimization. Zbl 1399.90209
Yang, Xiaonan; Xu, Hong-Kun
2017
An unconstrained optimization approach to the split feasibility problem. Zbl 06876326
Xu, Hong-Kun; Alghamdi, Maryam A.; Shahzad, Naseer
2017
Solvability of split vector variational inequalities in Banach spaces. Zbl 1390.49007
Li, Jinlu; Xu, Hong-Kun
2017
Splitting methods for split feasibility problems with application to Dantzig selectors. Zbl 1367.65088
He, Hongjin; Xu, Hong-Kun
2017
Perturbation resilience and superiorization methodology of averaged mappings. Zbl 1366.65061
He, Hongjin; Xu, Hong-Kun
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
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
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
2016
Error sensitivity for strongly convergent modifications of the proximal point algorithm. Zbl 1345.47052
Wang, Yamin; Wang, Fenghui; Xu, Hong-Kun
2016
The implicit midpoint rule for nonexpansive mappings in Banach spaces. Zbl 06633841
Xu, Hong-Kun; Alghamdi, Maryam A.; Shahzad, Naseer
2016
An implementable splitting algorithm for the $$\ell_1$$-norm regularized split feasibility problem. Zbl 1339.65030
He, Hongjin; Ling, Chen; Xu, Hong-Kun
2016
Penalized sample average approximation methods for stochastic programs in economic and secure dispatch of a power system. Zbl 1397.90246
Tong, X. J.; Xu, H.; Wu, F. F.; Zhao, Z.
2016
Properties and splitting method for the $$p$$-elastic net. Zbl 06661935
Altwaijry, Najla; Chebbi, Souhail; Xu, Hong-Kun
2016
Matrix approaches to approximate solutions of variational inequalities in Hilbert spaces. Zbl 06587811
Cianciaruso, Filomena; Marino, Giuseppe; Muglia, Luigi; Xu, Hong-Kun
2016
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
2015
Iterative methods for generalized split feasibility problems in Hilbert spaces. Zbl 1326.47099
Takahashi, Wataru; Xu, Hong-Kun; Yao, Jen-Chin
2015
Optimal control of uncertain quantized linear discrete-time systems. Zbl 1330.93150
Zhao, Q.; Xu, H.; Jagannathan, S.
2015
A relaxed projection method for split variational inequalities. Zbl 1323.65079
He, Hongjin; Ling, Chen; Xu, Hong-Kun
2015
On the missing bound state data of inverse spectral-scattering problems on the half-line. Zbl 1326.34035
Wei, Guangsheng; Xu, Hong-Kun
2015
The supporting hyperplane and an alternative to solutions of variational inequalities. Zbl 1341.49011
Nguyen, Huu Quang; Xu, Hong-Kun
2015
Ergodicity of the implicit midpoint rule for nonexpansive mappings. Zbl 1338.47074
Xu, Hong-Kun; Alghamdi, Maryam A.; Shahzad, Naseer
2015
Weak convergence of iterative methods for two accretive operators in Banach spaces. Zbl 1338.47112
Wang, Yuan-Heng; Chebbi, Souhail; Xu, Hong-Kun
2015
A CS decomposition for orthogonal matrices with application to eigenvalue computation. Zbl 1316.65044
Calvetti, D.; Reichel, L.; Xu, H.
2015
A new accuracy criterion for the contraction proximal point algorithm with two monotone operators. Zbl 1311.47098
Wang, Yamin; Xu, Hong-Kun
2015
The implicit midpoint rule for nonexpansive mappings. Zbl 1332.47037
2014
Positive solutions of a Lotka-Volterra competition model with cross-diffusion. Zbl 1367.92129
Jia, Yunfeng; Wu, Jianhua; Xu, Hong-Kun
2014
Properties and iterative methods for the lasso and its variants. Zbl 1295.47064
Xu, Hong-Kun
2014
Strong convergence for the proximal-gradient method. Zbl 1295.46058
Wang, Yamin; Xu, Hong-Kun
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
2014
Hybrid method for a class of accretive variational inequalities involving nonexpansive mappings. Zbl 06780067
Wang, Yaqin; Xu, Hong-kun
2014
Weak continuity of the normalized duality map. Zbl 1300.46011
Xu, Hong-Kun; Kim, Tae Hwa; Yin, Ximing
2014
Inverse spectral analysis for the transmission eigenvalue problem. Zbl 1293.35189
Wei, Guangsheng; Xu, Hong-Kun
2013
Uniqueness of supporting hyperplanes and an alternative to solutions of variational inequalities. Zbl 1298.47072
He, Songnian; Xu, Hong-Kun
2013
Properties and iterative methods for the $$Q$$-lasso. Zbl 1359.94052
2013
Spatial pattern in an ecosystem of phytoplankton-nutrient from remote sensing. Zbl 1263.35205
Jia, Yunfeng; Wu, Jianhua; Xu, Hong-Kun
2013
A Halpern-Lions-Reich-like iterative method for nonexpansive mappings. Zbl 1366.47004
Al-Rumaih, Zahra; Chebbi, Souhail; Xu, Hong-Kun
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
2013
Relaxed viscosity approximation methods with regularization for constrained minimization problems. Zbl 1266.90140
Ceng, Lu-Chuan; Xu, Hong-Kun; Wen, Ching-Feng
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
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
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
2012
Forward-backward splitting methods for accretive operators in Banach spaces. Zbl 1252.47043
López, Genaro; Martín-Márquez, Victoria; Wang, Fenghui; Xu, Hong-Kun
2012
Inverse spectral problem with partial information given on the potential and norming constants. Zbl 1255.34017
Wei, Guangsheng; Xu, Hong-Kun
2012
Weak and strong convergence theorems for variational inequality and fixed point problems with Tseng’s extragradient method. Zbl 06062768
Wang, Fenghui; Xu, Hong-Kun
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
2012
On nonlinear neutral fractional integrodifferential inclusions with infinite delay. Zbl 1244.45003
Li, Fang; Xiao, Ti-Jun; Xu, Hong-Kun
2012
Noncompact equilibrium points and applications. Zbl 1245.49005
Al-Rumaih, Zahra; Chebbi, Souhail; Xu, Hong Kun
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
2012
A duality fixed point theorem and applications. Zbl 1327.47051
Su, Yongfu; Xu, Hongkun
2012
Strong convergence theorems for generalized equilibrium, variational inequalities and nonlinear operators. Zbl 1255.47070
Wang, Yaqin; Xu, Hong-Kun; Yin, Ximing
2012
Averaged mappings and the gradient-projection algorithm. Zbl 1233.90280
Xu, Hong-Kun
2011
Cyclic algorithms for split feasibility problems in Hilbert spaces. Zbl 1308.47079
Wang, Fenghui; Xu, Hong-Kun
2011
Explicit hierarchical fixed point approach to variational inequalities. Zbl 1221.49012
Marino, Giuseppe; Xu, Hong-Kun
2011
Iterative methods for finding minimum-norm fixed points of nonexpansive mappings with applications. Zbl 1368.47093
Yao, Yonghong; Xu, Hong-Kun
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.
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
2011
Choices of variable steps of the CQ algorithm for the split feasibility problem. Zbl 06025203
Wang, Fenghui; Xu, Hong-Kun; Su, Meng
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
2011
Notes on graph-convergence for maximal monotone operators. Zbl 1216.47080
Cianciaruso, Filomena; Marino, Giuseppe; Muglia, Luigi; Xu, Hong-Kun
2011
Iterative methods for the split feasibility problem in infinite-dimensional Hilbert spaces. Zbl 1213.65085
Xu, Hong-Kun
2010
Schemes for finding minimum-norm solutions of variational inequalities. Zbl 1183.49012
Yao, Yonghong; Chen, Rudong; Xu, Hong-Kun
2010
Approximating curve and strong convergence of the $$CQ$$ algorithm for the split feasibility problem. Zbl 1189.65107
Wang, Fenghui; Xu, Hong-Kun
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
2010
Viscosity method for hierarchical fixed point approach to variational inequalities. Zbl 1215.47099
Xu, Hong-Kun
2010
Remarks on the gradient-projection algorithm. Zbl 1413.90272
Su, Meng; Xu, Hong Kun
2010
Subdifferentials of perturbed distance functions in Banach spaces. Zbl 1192.49020
Wang, Jin-Hua; Li, Chong; Xu, Hong-Kun
2010
Strongly convergent iterative algorithms for solving a class of variational inequalities. Zbl 1209.47031
Wang, Fenghui; Xu, Hong-Kun
2010
Halpern’s iteration for nonexpansive mappings. Zbl 1218.47109
López, Genaro; Martín-Márquez, Victoria; Xu, Hong-Kun
2010
An alternative regularization method for nonexpansive mappings with applications. Zbl 1220.47132
Xu, Hong-Kun
2010
Regularization and iterative methods for monotone variational inequalities. Zbl 1185.49015
Xu, Xiubin; Xu, Hong-Kun
2010
Inverse spectral problem for a string equation with partial information. Zbl 1219.34019
Wei, Guangsheng; Xu, Hong-Kun
2010
Uniformly normal structure and uniformly Lipschitzian semigroups. Zbl 1250.47055
Ceng, Lu-Chuan; Xu, Hong-Kun; Yao, Jen-Chih
2010
Health care supply networks in tightly and loosely coupled structures: exploration using agent-based modelling. Zbl 1292.93011
Kanagarajah, A.; Parker, D.; Xu, H.
2010
On two iterative methods for mixed monotone variational inequalities. Zbl 1185.49008
Lu, Xiwen; Xu, Hong-Kun; Yin, Ximing
2010
Asymptotically strict pseudocontractive mappings in the intermediate sense. Zbl 1221.47122
Sahu, D. R.; Xu, Hong-Kun; Yao, Jen-Chih
2009
Hybrid methods for a class of monotone variational inequalities. Zbl 1176.90462
Lu, Xiwen; Xu, Hong-Kun; Yin, Ximing
2009
On an implicit hierarchical fixed point approach to variational inequalities. Zbl 1168.49005
Cianciaruso, Filomena; Colao, Vittorio; Muglia, Luigi; Xu, Hong-Kun
2009
Strong convergence theorems for a common fixed point of two hemi-relatively nonexpansive mappings. Zbl 1206.47088
Su, Yongfu; Wang, Ziming; Xu, Hongkun
2009
Perturbation techniques for nonexpansive mappings with applications. Zbl 1163.47306
Lopez, Genaro; Martin, Victoria; Xu, Hong-Kun
2009
On the missing eigenvalue problem for an inverse Sturm-Liouville problem. Zbl 1176.34012
Wei, Guangsheng; Xu, Hong-Kun
2009
Regularization and iteration methods for a class of monotone variational inequalities. Zbl 1179.58008
Chen, Rudong; Su, Yongfu; Xu, Hong-Kun
2009
Variational inequalities governed by boundedly Lipschitzian and strongly monotone operators. Zbl 1192.58009
He, Songnian; Xu, Hong-Kun
2009
An iterative method for finding common solutions of equilibrium and fixed point problems. Zbl 1141.47040
Colao, Vittorio; Marino, Giuseppe; Xu, Hong-Kun
2008
Asymptotic pointwise contractions. Zbl 1172.47038
Kirk, W. A.; Xu, Hong-Kun
2008
Convergence of the modified Mann’s iteration method for asymptotically strict pseudo-contractions. Zbl 1220.47100
Kim, Tae-Hwa; Xu, Hong-Kun
2008
The viscosity approximation method for asymptotically nonexpansive mappings in Banach spaces. Zbl 1142.47326
Ceng, Lu-Chuan; Xu, Hong-Kun; Yao, Jen-Chih
2008
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
2008
A hybrid steepest-descent method for variational inequalities in Hilbert spaces. Zbl 1158.47050
Ceng, Lu-Chuan; Xu, Hong-Kun; Yao, Jen-Chih
2008
Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces. Zbl 1116.47053
Marino, Giuseppe; Xu, Hong-Kun
2007
Iterative methods for strict pseudo-contractions in Hilbert spaces. Zbl 1133.47050
Acedo, Genaro Lopez; Xu, Hong-Kun
2007
Robustness of Mann’s algorithm for nonexpansive mappings. Zbl 1110.47057
Kim, Tae-Hwa; Xu, Hong-Kun
2007
Strong convergence of a hybrid viscosity approximation method with perturbed mappings for nonexpansive and accretive operators. Zbl 1219.47102
Ceng, Lu-Chuan; Xu, Hong-Kun
2007
A general iterative method for nonexpansive mappings in Hilbert spaces. Zbl 1095.47038
Marino, Giuseppe; Xu, Hong-Kun
2006
A variable Krasnosel’skiĭ–Mann algorithm and the multiple-set split feasibility problem. Zbl 1126.47057
Xu, Hong-Kun
2006
Strong convergence of the CQ method for fixed point iteration processes. Zbl 1105.47060
Martinez-Yanes, Carlos; Xu, Hong-Kun
2006
...and 90 more Documents
all top 5

#### Cited by 2,044 Authors

 155 Ceng, Lu-Chuan 153 Yao, Jen-Chih 139 Kumam, Poom 127 Yao, Yonghong 107 Chang, Shih-Sen 105 Cho, Yeol Je 104 Liou, Yeongcheng 96 Kang, Shin Min 92 Qin, Xiaolong 88 Xu, Hong-Kun 82 Shehu, Yekini 78 Shahzad, Naseer 78 Zegeye, Habtu 77 Suantai, Suthep 67 Chidume, Charles Ejike 65 Su, Yongfu 61 Chen, Rudong 53 Takahashi, Wataru 52 Wen, Chingfeng 50 Marino, Giuseppe 50 Zhou, Haiyun 48 Cholamjiak, Prasit 48 Kim, Jong Kyu 46 He, Songnian 45 Song, Yisheng 40 Wangkeeree, Rabian 39 Cho, Sun Young 38 Ansari, Qamrul Hasan 38 Kangtunyakarn, Atid 36 Jung, Jong Soo 35 Plubtieng, Somyot 34 Mewomo, Oluwatosin Temitope 33 Latif, Abdul 33 Saejung, Satit 32 Wang, Lin 29 Cai, Gang 29 Dang Van Hieu 29 Dương Việt Thông 28 Eslamian, Mohammad 28 Noor, Muhammad Aslam 27 Sahu, Daya Ram 26 Agarwal, Ravi P. 26 Dong, Qiaoli 26 Tian, Ming 26 Trương Minh Tuyên 25 Ali, Bashir 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 Sunthrayuth, Pongsakorn 21 Gibali, Aviv 21 Lee, H. W. Joseph 21 Reich, Simeon 21 Wong, Ngai-Ching 21 Zhao, Jing 20 Hu, Changsong 20 Pang, Chin-Tzong 20 Postolache, Mihai 20 Shang, Meijuan 19 Cholamjiak, Watcharaporn 19 Kazmi, Kaleem Raza 19 Khan, Abdul Rahim 18 Fukhar-Ud-Din, Hafiz 18 Khamsi, Mohamed Amine 18 Ofoedu, Eric U. 18 Wang, Shenghua 17 Colao, Vittorio 17 He, Huimin 17 Izuchukwu, Chinedu 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 14 Ogbuisi, Ferdinard Udochukwu 14 Ugwunnadi, Godwin Chidi ...and 1,944 more Authors
all top 5

#### Cited in 265 Serials

 572 Fixed Point Theory and Applications 231 Journal of Inequalities and Applications 226 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 218 Abstract and Applied Analysis 139 Journal of Mathematical Analysis and Applications 135 Applied Mathematics and Computation 108 Optimization 104 Numerical Functional Analysis and Optimization 104 Journal of Applied Mathematics 97 Computers & Mathematics with Applications 86 Journal of Fixed Point Theory and Applications 77 Journal of Nonlinear Science and Applications 71 Journal of Optimization Theory and Applications 63 Numerical Algorithms 62 Journal of Global Optimization 45 Journal of Computational and Applied Mathematics 41 Applied Mathematics Letters 40 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 37 Journal of Applied Mathematics and Computing 36 Optimization Letters 34 Mathematical and Computer Modelling 32 Nonlinear Analysis. Theory, Methods & Applications 31 International Journal of Mathematics and Mathematical Sciences 25 Computational and Applied Mathematics 24 Acta Mathematica Sinica. English Series 24 Afrika Matematika 23 Applicable Analysis 23 Proceedings of the American Mathematical Society 23 Journal of Function Spaces 22 Applied Mathematics and Mechanics. (English Edition) 19 Bulletin of the Australian Mathematical Society 19 Mediterranean Journal of Mathematics 18 Nonlinear Analysis. Hybrid Systems 17 Thai Journal of Mathematics 15 Journal of Nonlinear and Variational Analysis 14 Vietnam Journal of Mathematics 13 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 12 Acta Mathematica Vietnamica 12 Demonstratio Mathematica 12 Rendiconti del Circolo Matemàtico di Palermo. Serie II 12 Journal of the Egyptian Mathematical Society 12 Mathematical Problems in Engineering 12 Advances in Difference Equations 11 Results in Mathematics 11 Optimization Methods & Software 10 Journal of Mathematics 9 Computational Optimization and Applications 9 Applied Mathematics. Series B (English Edition) 9 Arabian Journal of Mathematics 9 Mathematical Sciences 8 Journal of Applied Mathematics and Stochastic Analysis 8 Positivity 8 ISRN Mathematical Analysis 8 Journal of Nonlinear Analysis and Optimization: Theory & Applications 8 Korean Journal of Mathematics 7 Quaestiones Mathematicae 7 Journal of Scientific Computing 7 Fractional Calculus & Applied Analysis 7 Asian-European Journal of Mathematics 6 Inverse Problems 6 Calcolo 6 Journal of Approximation Theory 6 Acta Applicandae Mathematicae 6 SIAM Journal on Optimization 6 Journal of Applied Analysis 6 Nonlinear Dynamics 6 Discrete Dynamics in Nature and Society 6 Journal of Function Spaces and Applications 6 Functional Analysis, Approximation and Computation 6 ISRN Applied Mathematics 5 Journal of the Franklin Institute 5 Czechoslovak Mathematical Journal 5 Circuits, Systems, and Signal Processing 5 Stochastic Analysis and Applications 5 Acta Mathematicae Applicatae Sinica. English Series 5 International Journal of Computer Mathematics 5 Random Operators and Stochastic Equations 5 Journal of Industrial and Management Optimization 5 Banach Journal of Mathematical Analysis 5 Journal of Applied Analysis and Computation 5 Advances in Operator Theory 4 International Journal of Systems Science 4 Journal of Mathematical Physics 4 Mathematical Methods in the Applied Sciences 4 Chinese Annals of Mathematics. Series B 4 Set-Valued Analysis 4 The Journal of Analysis 4 Journal of Convex Analysis 4 Nonlinear Analysis. Real World Applications 4 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 3 Indian Journal of Pure & Applied Mathematics 3 Journal of Fluid Mechanics 3 Mathematical Notes 3 Rocky Mountain Journal of Mathematics 3 Journal of Differential Equations 3 Mathematische Nachrichten 3 Ricerche di Matematica 3 Topology and its Applications 3 Annals of Pure and Applied Logic 3 Japan Journal of Industrial and Applied Mathematics ...and 165 more Serials
all top 5

#### Cited in 45 Fields

 2,923 Operator theory (47-XX) 759 Numerical analysis (65-XX) 699 Calculus of variations and optimal control; optimization (49-XX) 498 Operations research, mathematical programming (90-XX) 236 General topology (54-XX) 177 Functional analysis (46-XX) 157 Ordinary differential equations (34-XX) 52 Partial differential equations (35-XX) 46 Systems theory; control (93-XX) 42 Approximations and expansions (41-XX) 40 Global analysis, analysis on manifolds (58-XX) 37 Probability theory and stochastic processes (60-XX) 33 Integral equations (45-XX) 32 Real functions (26-XX) 24 Computer science (68-XX) 24 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 21 Biology and other natural sciences (92-XX) 17 Dynamical systems and ergodic theory (37-XX) 15 Fluid mechanics (76-XX) 13 Mathematical logic and foundations (03-XX) 11 Differential geometry (53-XX) 11 Information and communication theory, circuits (94-XX) 8 Combinatorics (05-XX) 8 Convex and discrete geometry (52-XX) 8 Statistics (62-XX) 7 Difference and functional equations (39-XX) 5 Sequences, series, summability (40-XX) 5 Quantum theory (81-XX) 4 Measure and integration (28-XX) 4 Algebraic topology (55-XX) 4 Mechanics of deformable solids (74-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Group theory and generalizations (20-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Abstract harmonic analysis (43-XX) 2 Geometry (51-XX) 2 Mechanics of particles and systems (70-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Number theory (11-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Classical thermodynamics, heat transfer (80-XX)