Edit Profile (opens in new tab) Huynh Van Ngai Compute Distance To: Compute Author ID: huynh-van-ngai. Published as: Huynh Van Ngai; Ngai, Huynh Van; Van Ngai, Huynh; van Ngai, Huynh; Van Huynh, Ngai; Ngai Huynh Van; Ngãi, H. V. more...less External Links: MGP Documents Indexed: 42 Publications since 2000 2 Contributions as Editor Co-Authors: 25 Co-Authors with 42 Joint Publications 590 Co-Co-Authors all top 5 Co-Authors 2 single-authored 21 Théra, Michel A. 8 Penot, Jean-Paul 5 Adly, Samir 4 Le Thi, Hoai An 4 Pham Dinh Tao 4 Tron, Nguyen Huu 3 Dinh The Luc 3 Hoàng Xuân Phù 3 Kruger, Alexander Y. 2 Nguyen Van Vu 2 Rockafellar, Ralph Tyrrell 2 Vu, Nguyen Van 1 Bauschke, Heinz H. 1 Burachik, Regina Sandra 1 Cibulka, Radek 1 Hà Huy Vui 1 Le, Hoai Minh 1 Nguyen Huu Tron 1 Nguyen, Huu Tron 1 Nguyen, Van Vu 1 Phạm Tiên So’n 1 Phan Nhat Tinh 1 Tinh, Phan Nhat 1 Vaz, A. Ismael F. 1 Vicente, Luis Nunes all top 5 Serials 7 Vietnam Journal of Mathematics 6 SIAM Journal on Optimization 4 Journal of Optimization Theory and Applications 3 Journal of Mathematical Analysis and Applications 3 Journal of Global Optimization 3 Journal of Convex Analysis 3 Set-Valued and Variational Analysis 2 Mathematics of Operations Research 2 Mathematical Programming. Series A. Series B 2 Set-Valued Analysis 2 Journal of Nonlinear and Convex Analysis 1 Studia Mathematica 1 Control and Cybernetics 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Taiwanese Journal of Mathematics 1 Pacific Journal of Optimization all top 5 Fields 37 Calculus of variations and optimal control; optimization (49-XX) 31 Operations research, mathematical programming (90-XX) 7 Real functions (26-XX) 6 Functional analysis (46-XX) 6 Operator theory (47-XX) 6 Global analysis, analysis on manifolds (58-XX) 3 General topology (54-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Numerical analysis (65-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Convex and discrete geometry (52-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 35 Publications have been cited 503 times in 312 Documents Cited by ▼ Year ▼ Approximate convex functions. Zbl 1033.49029Huynh Van Ngai; Dinh The Luc; Théra, Michel 46 2000 Exact penalty and error bounds in DC programming. Zbl 1242.49037Le Thi Hoai An; Pham Dinh Tao; Ngai Huynh Van 43 2012 Metric inequality, subdifferential calculus and applications. Zbl 1024.49017Huynh Van Ngai; Théra, Michel 41 2001 Error bounds and implicit multifunction theorem in smooth Banach spaces and applications to optimization. Zbl 1058.49017Huynh Van Ngai; Théra, Michel 41 2004 Error bounds in metric spaces and application to the perturbation stability of metric regularity. Zbl 1158.49020Huynh Van Ngai; Théra, Michel 41 2008 Error bounds for systems of lower semicontinuous functions in Asplund spaces. Zbl 1215.49028Ngai, Huynh Van; Théra, Michel 38 2009 Stability of error bounds for convex constraint systems in Banach spaces. Zbl 1208.49030Kruger, Alexander; Ngai, Huynh Van; Théra, Michel 29 2010 Newton’s method for solving inclusions using set-valued approximations. Zbl 1356.49041Adly, Samir; Cibulka, Radek; van Ngai, Huynh 23 2015 Stability of error bounds for semi-infinite convex constraint systems. Zbl 1202.49024Ngai, Huynh Van; Kruger, Alexander; Théra, Michel 20 2010 Error bounds for convex differentiable inequality systems in Banach spaces. Zbl 1089.49028Huynh Van Ngai; Théra, Michel 17 2005 Approximately convex functions and approximately monotonic operators. Zbl 1113.26011Ngai, Huynh Van; Penot, Jean-Paul 16 2007 Metric regularity of the sum of multifunctions and applications. Zbl 1335.90111Huynh Van Ngai; Nguyen, Huu Tron; Théra, Michel 14 2014 Metric subregularity of multifunctions: first and second order infinitesimal characterizations. Zbl 1323.47054Huynh Van Ngai; Phan Nhat Tinh 13 2015 Newton’s method for solving generalized equations: Kantorovich’s and Smale’s approaches. Zbl 1339.49014Adly, Samir; Van Ngai, Huynh; Nguyen, Van Vu 13 2016 Directional metric regularity of multifunctions. Zbl 1331.49024van Ngai, Huynh; Théra, Michel 11 2015 Paraconvex functions and paraconvex sets. Zbl 1181.49014Huynh Van Ngai; Penot, Jean-Paul 11 2008 Slopes of multifunctions and extensions of metric regularity. Zbl 1292.49020Ngai, Huynh Van; Kruger, Alexander Y.; Théra, Michel 10 2012 A fuzzy necessary optimality condition for non-Lipschitz optimization in Asplund spaces. Zbl 1004.49024Huynh Van Ngai; Théra, Michel 10 2002 Binary classification via spherical separator by DC programming and DCA. Zbl 1275.90093Le Thi, Hoai An; Le, Hoai Minh; Pham Dinh, Tao; Van Huynh, Ngai 9 2013 Semismoothness and directional subconvexity of functions. Zbl 1181.49015Huynh Van Ngai; Penot, Jean-Paul 9 2007 Extensions of Fréchet \(\varepsilon\)-subdifferential calculus and applications. Zbl 1029.49015Huynh Van Ngai; Dinh The Luc; Théra, M. 7 2002 Directional Hölder metric subregularity and application to tangent cones. Zbl 1373.49044van Ngai, Huynh; Tron, Nguyen Huu; Tinh, Phan Nhat 6 2017 Stability of metric regularity with set-valued perturbations and application to Newton’s method for solving generalized equations. Zbl 1393.49012Adly, Samir; Huynh Van Ngai; Nguyen Van Vu 6 2017 On \(\varepsilon\)-monotonicity and \(\varepsilon\)-convexity. Zbl 0965.49017Dinh The Luc; Huynh Van Ngai; Thera, M. 5 2000 Directional Hölder metric regularity. Zbl 1354.49033Van Ngai, Huynh; Tron, Nguyen Huu; Théra, Michel 4 2016 Subdifferentiation of regularized functions. Zbl 1334.49053Van Ngai, Huynh; Penot, Jean-Paul 4 2016 Quasi-Newton methods for solving nonsmooth equations: generalized Dennis-Moré theorem and Broyden’s update. Zbl 06985429Adly, Samir; Ngai, Huynh Van 4 2018 Global error bounds for systems of convex polynomials over polyhedral constraints. Zbl 1339.49013Ngai, Huynh Van 3 2015 Globally convergent DC trust-region methods. Zbl 1300.90029Le Thi, Hoai An; Huynh Van Ngai; Dinh, Tao Pham; Vaz, A. Ismael F.; Vicente, L. N. 2 2014 A global smooth version of the classical Łojasiewicz inequality. Zbl 1300.26014Hà, H. V.; Ngãi, H. V.; Phạm, T. S. 2 2015 Error bounds via exact penalization with applications to concave and quadratic systems. Zbl 1353.49020Le Thi, Hoai An; Van Ngai, Huynh; Pham Dinh, Tao 1 2016 \(\varphi \)-regular functions in Asplund spaces. Zbl 1168.49018Huynh Van Ngai; Théra, Michel 1 2007 Rambling through local versions of generalized convex functions and generalized monotone operators. Zbl 1123.26015Ngai, Huynh Van; Penot, Jean-Paul 1 2007 Approximately convex sets. Zbl 1181.49016Huynh Van Ngai; Penot, Jean-Paul 1 2007 Directional metric pseudo subregularity of set-valued mappings: a general model. Zbl 1439.49028Van Ngai, Huynh; Tron, Nguyen Huu; Van Vu, Nguyen; Théra, Michel 1 2020 Directional metric pseudo subregularity of set-valued mappings: a general model. Zbl 1439.49028Van Ngai, Huynh; Tron, Nguyen Huu; Van Vu, Nguyen; Théra, Michel 1 2020 Quasi-Newton methods for solving nonsmooth equations: generalized Dennis-Moré theorem and Broyden’s update. Zbl 06985429Adly, Samir; Ngai, Huynh Van 4 2018 Directional Hölder metric subregularity and application to tangent cones. Zbl 1373.49044van Ngai, Huynh; Tron, Nguyen Huu; Tinh, Phan Nhat 6 2017 Stability of metric regularity with set-valued perturbations and application to Newton’s method for solving generalized equations. Zbl 1393.49012Adly, Samir; Huynh Van Ngai; Nguyen Van Vu 6 2017 Newton’s method for solving generalized equations: Kantorovich’s and Smale’s approaches. Zbl 1339.49014Adly, Samir; Van Ngai, Huynh; Nguyen, Van Vu 13 2016 Directional Hölder metric regularity. Zbl 1354.49033Van Ngai, Huynh; Tron, Nguyen Huu; Théra, Michel 4 2016 Subdifferentiation of regularized functions. Zbl 1334.49053Van Ngai, Huynh; Penot, Jean-Paul 4 2016 Error bounds via exact penalization with applications to concave and quadratic systems. Zbl 1353.49020Le Thi, Hoai An; Van Ngai, Huynh; Pham Dinh, Tao 1 2016 Newton’s method for solving inclusions using set-valued approximations. Zbl 1356.49041Adly, Samir; Cibulka, Radek; van Ngai, Huynh 23 2015 Metric subregularity of multifunctions: first and second order infinitesimal characterizations. Zbl 1323.47054Huynh Van Ngai; Phan Nhat Tinh 13 2015 Directional metric regularity of multifunctions. Zbl 1331.49024van Ngai, Huynh; Théra, Michel 11 2015 Global error bounds for systems of convex polynomials over polyhedral constraints. Zbl 1339.49013Ngai, Huynh Van 3 2015 A global smooth version of the classical Łojasiewicz inequality. Zbl 1300.26014Hà, H. V.; Ngãi, H. V.; Phạm, T. S. 2 2015 Metric regularity of the sum of multifunctions and applications. Zbl 1335.90111Huynh Van Ngai; Nguyen, Huu Tron; Théra, Michel 14 2014 Globally convergent DC trust-region methods. Zbl 1300.90029Le Thi, Hoai An; Huynh Van Ngai; Dinh, Tao Pham; Vaz, A. Ismael F.; Vicente, L. N. 2 2014 Binary classification via spherical separator by DC programming and DCA. Zbl 1275.90093Le Thi, Hoai An; Le, Hoai Minh; Pham Dinh, Tao; Van Huynh, Ngai 9 2013 Exact penalty and error bounds in DC programming. Zbl 1242.49037Le Thi Hoai An; Pham Dinh Tao; Ngai Huynh Van 43 2012 Slopes of multifunctions and extensions of metric regularity. Zbl 1292.49020Ngai, Huynh Van; Kruger, Alexander Y.; Théra, Michel 10 2012 Stability of error bounds for convex constraint systems in Banach spaces. Zbl 1208.49030Kruger, Alexander; Ngai, Huynh Van; Théra, Michel 29 2010 Stability of error bounds for semi-infinite convex constraint systems. Zbl 1202.49024Ngai, Huynh Van; Kruger, Alexander; Théra, Michel 20 2010 Error bounds for systems of lower semicontinuous functions in Asplund spaces. Zbl 1215.49028Ngai, Huynh Van; Théra, Michel 38 2009 Error bounds in metric spaces and application to the perturbation stability of metric regularity. Zbl 1158.49020Huynh Van Ngai; Théra, Michel 41 2008 Paraconvex functions and paraconvex sets. Zbl 1181.49014Huynh Van Ngai; Penot, Jean-Paul 11 2008 Approximately convex functions and approximately monotonic operators. Zbl 1113.26011Ngai, Huynh Van; Penot, Jean-Paul 16 2007 Semismoothness and directional subconvexity of functions. Zbl 1181.49015Huynh Van Ngai; Penot, Jean-Paul 9 2007 \(\varphi \)-regular functions in Asplund spaces. Zbl 1168.49018Huynh Van Ngai; Théra, Michel 1 2007 Rambling through local versions of generalized convex functions and generalized monotone operators. Zbl 1123.26015Ngai, Huynh Van; Penot, Jean-Paul 1 2007 Approximately convex sets. Zbl 1181.49016Huynh Van Ngai; Penot, Jean-Paul 1 2007 Error bounds for convex differentiable inequality systems in Banach spaces. Zbl 1089.49028Huynh Van Ngai; Théra, Michel 17 2005 Error bounds and implicit multifunction theorem in smooth Banach spaces and applications to optimization. Zbl 1058.49017Huynh Van Ngai; Théra, Michel 41 2004 A fuzzy necessary optimality condition for non-Lipschitz optimization in Asplund spaces. Zbl 1004.49024Huynh Van Ngai; Théra, Michel 10 2002 Extensions of Fréchet \(\varepsilon\)-subdifferential calculus and applications. Zbl 1029.49015Huynh Van Ngai; Dinh The Luc; Théra, M. 7 2002 Metric inequality, subdifferential calculus and applications. Zbl 1024.49017Huynh Van Ngai; Théra, Michel 41 2001 Approximate convex functions. Zbl 1033.49029Huynh Van Ngai; Dinh The Luc; Théra, Michel 46 2000 On \(\varepsilon\)-monotonicity and \(\varepsilon\)-convexity. Zbl 0965.49017Dinh The Luc; Huynh Van Ngai; Thera, M. 5 2000 all cited Publications top 5 cited Publications all top 5 Cited by 348 Authors 25 Kruger, Alexander Y. 22 Huynh Van Ngai 17 Le Thi, Hoai An 15 Durea, Marius 15 Pham Dinh Tao 13 Penot, Jean-Paul 13 Théra, Michel A. 12 Strugariu, Radu 11 Cánovas, María Josefa 11 Parra, Juan 10 López-Cerdá, Marco Antonio 10 Zheng, Xiyin 8 Phạm Tiên So’n 8 Thao, Nguyen Hieu 8 Yao, Jen-Chih 7 Cuong, Nguyen Duy 6 Huynh, van Ngai 6 Mishra, Shashi Kant 6 Mordukhovich, Boris S. 6 Ouyang, Wei 6 Toledo, Fco. Javier 6 Uderzo, Amos 6 Zhang, Binbin 5 Chuong, Thai Doan 5 Cibulka, Radek 5 Ershov, Aleksandr Anatol’evich 5 Huang, Hui 5 Ng, Kung-Fu 5 Silva, Gilson N. 5 Zhu, Jiangxing 4 Adly, Samir 4 Bagirov, Adil M. 4 Daniilidis, Aris 4 de Oliveira, Welington Luis 4 Florea, Elena-Andreea 4 Hantoute, Abderrahim 4 Henrion, René 4 Li, Guoyin 4 Luke, David Russell 4 Nghia, Tran Thai An 4 Nguyen, Huu Tron 4 Pong, Ting Kei 4 Tammer, Christiane 4 Ushakov, Vladimir Nikolaevich 4 Yang, Xiaoqi 3 Bednarczuk, Ewa M. 3 Bui, Hoa T. 3 Dinh, Si Tiep 3 Dontchev, Asen L. 3 Ferreira, Orizon Pereira 3 Fuduli, Antonio 3 He, Qinghai 3 Ioffe, Alexander Davidovich 3 Laha, Vivek 3 Le, Hoai Minh 3 Li, Minghua 3 Li, Runxin 3 Mannel, Florian 3 Meng, Kaiwen 3 Movahedian, Nooshin 3 Outrata, Jiří V. 3 Taheri, Sona 3 Thibault, Lionel 3 Tron, Nguyen Huu 3 Wei, Zhou 3 Nguyen Dong Yen 2 Adamek, Mirosław 2 Al-Homidan, Suliman S. 2 Ansari, Qamrul Hasan 2 Apetrii, Marius 2 Astorino, Annabella 2 Azé, Dominique 2 Chen, Xiaojun 2 Dao, Minh Ngoc 2 Dinh The Luc 2 Dolgopolik, Maxim Vladimirovich 2 Dutta, Joydeep 2 Gaudioso, Manlio 2 Georgiev, Pando Grigorov 2 Gfrerer, Helmut 2 Goberna, Miguel Angel 2 Hà Huy Vui 2 He, Yiran 2 Jeyakumar, Vaithilingam 2 Joki, Kaisa 2 Karmitsa, Napsu 2 Klatte, Diethard 2 Kummer, Bernd 2 Lassonde, Marc 2 Li, Shengjie 2 Li, Xiaobing 2 Lu, Zhaosong 2 Mäkelä, Marko Mikael 2 Martínez-Legaz, Juan-Enrique 2 Nguyen Canh Nam 2 Nguyen Van Vu 2 Nguyen, Manh Cuong 2 Niu, Yi-Shuai 2 Noll, Dominikus 2 Páles, Zsolt ...and 248 more Authors all top 5 Cited in 68 Serials 37 Set-Valued and Variational Analysis 28 Journal of Optimization Theory and Applications 28 Mathematical Programming. Series A. Series B 19 Journal of Mathematical Analysis and Applications 19 SIAM Journal on Optimization 17 Optimization 16 Optimization Letters 12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 12 Vietnam Journal of Mathematics 11 Journal of Global Optimization 11 Journal of Convex Analysis 7 Positivity 6 Computational Optimization and Applications 5 Mathematics of Operations Research 5 Set-Valued Analysis 4 Applicable Analysis 3 Neural Computation 3 Journal of Inequalities and Applications 3 Optimization and Engineering 2 SIAM Journal on Control and Optimization 2 Annals of Operations Research 2 Linear Algebra and its Applications 2 Top 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Optimization Methods & Software 2 Acta Mathematica Sinica. English Series 2 Journal of the Australian Mathematical Society 2 Journal of Industrial and Management Optimization 2 Science China. Mathematics 2 Izvestiya Instituta Matematiki i Informatiki. Udmurtskiĭ Gosudarstvennyĭ Universitet 1 Acta Mathematica Vietnamica 1 The Annals of Statistics 1 Applied Mathematics and Optimization 1 Calcolo 1 Numerical Functional Analysis and Optimization 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Transactions of the American Mathematical Society 1 Topology and its Applications 1 Operations Research Letters 1 Acta Applicandae Mathematicae 1 Journal of Computational Mathematics 1 Journal of Complexity 1 Computers & Operations Research 1 Journal of Scientific Computing 1 International Journal of Mathematics 1 Machine Learning 1 Automation and Remote Control 1 European Journal of Operational Research 1 Pattern Recognition 1 Numerical Linear Algebra with Applications 1 Computational and Applied Mathematics 1 Advances in Computational Mathematics 1 Doklady Mathematics 1 Abstract and Applied Analysis 1 Mathematical Methods of Operations Research 1 Mathematical Inequalities & Applications 1 CEJOR. Central European Journal of Operations Research 1 Nonlinear Analysis. Real World Applications 1 Bulletin of the Brazilian Mathematical Society. New Series 1 4OR 1 Fuzzy Optimization and Decision Making 1 Proceedings of the Steklov Institute of Mathematics 1 Journal of Fixed Point Theory and Applications 1 Journal of Mathematical Inequalities 1 Journal of Nonlinear Science and Applications 1 Croatian Operational Research Review (CRORR) 1 Iranian Journal of Mathematical Sciences and Informatics 1 S\(\vec{\text{e}}\)MA Journal all top 5 Cited in 30 Fields 228 Operations research, mathematical programming (90-XX) 201 Calculus of variations and optimal control; optimization (49-XX) 51 Numerical analysis (65-XX) 41 Operator theory (47-XX) 31 Real functions (26-XX) 24 Global analysis, analysis on manifolds (58-XX) 17 Functional analysis (46-XX) 14 General topology (54-XX) 9 Convex and discrete geometry (52-XX) 7 Statistics (62-XX) 5 Algebraic geometry (14-XX) 5 Systems theory; control (93-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Computer science (68-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Measure and integration (28-XX) 3 Difference and functional equations (39-XX) 3 Approximations and expansions (41-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 History and biography (01-XX) 2 Number theory (11-XX) 2 Ordinary differential equations (34-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Functions of a complex variable (30-XX) 1 Partial differential equations (35-XX) 1 Differential geometry (53-XX) 1 Optics, electromagnetic theory (78-XX) 1 Biology and other natural sciences (92-XX) Citations by Year