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Nghia, Tran Thai An

Co-Author Distance
Author ID: nghia.tran-thai-an Recent zbMATH articles by "Nghia, Tran Thai An"
Published as: Nghia, T. T. A.; Nghia, Tran T. A.; Nghia, Tran Thai An
Documents Indexed: 35 Publications since 2008, including 7 Additional arXiv Preprints
Co-Authors: 23 Co-Authors with 32 Joint Publications
812 Co-Co-Authors
all top 5

Co-Authors

3 single-authored
15 Mordukhovich, Boris S.
4 Bello Cruz, Yunier Y.
4 Chieu, Nguyen Huy
4 Dinh, Nguyen
4 Li, Guoyin
3 Bauschke, Heinz H.
3 Bello Cruz, Jose Yunier
3 Fadili, Jalal M.
3 Le Van Hien
3 Wang, Shawn Xianfu
2 Phan, Duy Nhat
2 Phan, Hung M.
2 Tran, Trinh T. T.
2 Tuan, Ha Anh
2 Vallet, Guy
1 Cui, Ying
1 Drusvyatskiy, Dmitriy
1 Hoheisel, Tim
1 Lee, Gue Myung
1 Pha, Hung M.
1 Phạm Tiên So’n
1 Rockafellar, Ralph Tyrrell
1 Sun, Defeng
all top 5

Serials

5 SIAM Journal on Optimization
4 Mathematical Programming. Series A. Series B
3 Journal of Optimization Theory and Applications
3 Journal of Convex Analysis
2 Mathematics of Operations Research
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Set-Valued and Variational Analysis
1 Acta Mathematica Vietnamica
1 Journal of Approximation Theory
1 Optimization
1 Numerical Algorithms
1 Optimization Methods & Software
1 Optimization Letters
1 Information and Inference
all top 5

Fields

29 Operations research, mathematical programming (90-XX)
25 Calculus of variations and optimal control; optimization (49-XX)
7 Numerical analysis (65-XX)
2 Operator theory (47-XX)
1 Real functions (26-XX)
1 Partial differential equations (35-XX)
1 Functional analysis (46-XX)
1 Convex and discrete geometry (52-XX)
1 Information and communication theory, circuits (94-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

27 Publications have been cited 652 times in 397 Documents Cited by ▼ Year ▼
The rate of linear convergence of the Douglas-Rachford algorithm for subspaces is the cosine of the Friedrichs angle. Zbl 1307.49030
Bauschke, Heinz H.; Bello Cruz, J. Y.; Nghia, Tran T. A.; Phan, Hung M.; Wang, Xianfu
56
2014
Subdifferentials of value functions and optimality conditions for DC and bilevel infinite and semi-infinite programs. Zbl 1226.90102
Dinh, N.; Mordukhovich, B.; Nghia, T. T. A.
56
2010
Second-order growth, tilt stability, and metric regularity of the subdifferential. Zbl 1311.49035
Drusvyatskiy, D.; Mordukhovich, B. S.; Nghia, T. T. A.
47
2014
Full Lipschitzian and Hölderian stability in optimization with applications to mathematical programming and optimal control. Zbl 1304.49047
Mordukhovich, B. S.; Nghia, T. T. A.
42
2014
Subdifferentials of nonconvex supremum functions and their applications to semi-infinite and infinite programs with Lipschitzian data. Zbl 1266.49027
Mordukhovich, Boris S.; Nghia, T. T. A.
42
2013
On the convergence of the forward-backward splitting method with linesearches. Zbl 1354.65116
Cruz, José Yunier Bello; Nghia, Tran T. A.
41
2016
Farkas-type results and duality for DC programs with convex constraints. Zbl 1145.49016
Dinh, Nguyen; Vallet, Guy; Nghia, T. T. A.
40
2008
A closedness condition and its applications to DC programs with convex constraints. Zbl 1218.90155
Dinh, N.; Nghia, T. T. A.; Vallet, G.
40
2010
Qualification and optimality conditions for dc programs with infinite constraints. Zbl 1190.90264
Dinh, N.; Mordukhovich, B. S.; Nghia, T. T. A.
33
2009
Second-order variational analysis and characterizations of tilt-stable optimal solutions in infinite-dimensional spaces. Zbl 1285.49010
Mordukhovich, B. S.; Nghia, T. T. A.
32
2013
Full stability in finite-dimensional optimization. Zbl 1308.90126
Mordukhovich, B. S.; Nghia, T. T. A.; Rockafellar, R. T.
32
2015
Second-order characterizations of tilt stability with applications to nonlinear programming. Zbl 1312.49016
Mordukhovich, B. S.; Nghia, T. T. A.
30
2015
Nonsmooth cone-constrained optimization with applications to semi-infinite programming. Zbl 1291.49014
Mordukhovich, Boris S.; Nghia, T. T. A.
28
2014
Constraint qualifications and optimality conditions for nonconvex semi-infinite and infinite programs. Zbl 1292.90283
Mordukhovich, B.; Nghia, T. T. A.
28
2013
Optimal rates of linear convergence of relaxed alternating projections and generalized Douglas-Rachford methods for two subspaces. Zbl 1351.65022
Bauschke, Heinz H.; Bello Cruz, Yunier Y.; Nghia, Tran T. A.; Pha, Hung M.; Wang, Xianfu
24
2016
Local monotonicity and full stability for parametric variational systems. Zbl 1337.49030
Mordukhovich, B. S.; Nghia, T. T. A.
23
2016
Error bounds for parametric polynomial systems with applications to higher-order stability analysis and convergence rates. Zbl 1400.90251
Li, G.; Mordukhovich, B. S.; Nghia, T. T. A.; Phạm, T. S.
17
2018
Coderivative characterizations of maximal monotonicity for set-valued mappings. Zbl 1347.49026
Chieu, N. H.; Lee, G. M.; Mordukhovich, B. S.; Nghia, T. T. A.
9
2016
Characterization of tilt stability via subgradient graphical derivative with applications to nonlinear programming. Zbl 1397.49037
Chieu, Nguyen Huy; Hien, Le Van; Nghia, Tran T. A.
7
2018
Full stability of general parametric variational systems. Zbl 1406.49011
Mordukhovich, B. S.; Nghia, T. T. A.; Pham, D. T.
7
2018
A note on implicit multifunction theorems. Zbl 1290.49030
Nghia, T. T. A.
6
2014
DC optimization approach to metric regularity of convex multifunctions with applications to infinite systems. Zbl 1277.90146
Mordukhovich, B. S.; Nghia, T. T. A.
3
2012
On the linear convergence of forward-backward splitting method. I: Convergence analysis. Zbl 1471.65047
Bello-Cruz, Yunier; Li, Guoyin; Nghia, Tran T. A.
3
2021
A nondegenerate fuzzy optimality condition for constrained optimization problems without qualification conditions. Zbl 1269.49020
Nghia, T. T. A.
2
2012
On the positive definiteness of limiting coderivative for set-valued mappings. Zbl 1470.49034
Nghia, T. T. A.; Pham, D. T.; Tran, T. T. T.
2
2021
Quadratic growth conditions and uniqueness of optimal solution to Lasso. Zbl 1494.65037
Bello-Cruz, Yunier; Li, Guoyin; Nghia, Tran Thai An
1
2022
Quadratic growth and strong metric subregularity of the subdifferential via subgradient graphical derivative. Zbl 1459.49009
Chieu, Nguyen Huy; Hien, Le Van; Nghia, Tran T. A.; Tuan, Ha Anh
1
2021
Quadratic growth conditions and uniqueness of optimal solution to Lasso. Zbl 1494.65037
Bello-Cruz, Yunier; Li, Guoyin; Nghia, Tran Thai An
1
2022
On the linear convergence of forward-backward splitting method. I: Convergence analysis. Zbl 1471.65047
Bello-Cruz, Yunier; Li, Guoyin; Nghia, Tran T. A.
3
2021
On the positive definiteness of limiting coderivative for set-valued mappings. Zbl 1470.49034
Nghia, T. T. A.; Pham, D. T.; Tran, T. T. T.
2
2021
Quadratic growth and strong metric subregularity of the subdifferential via subgradient graphical derivative. Zbl 1459.49009
Chieu, Nguyen Huy; Hien, Le Van; Nghia, Tran T. A.; Tuan, Ha Anh
1
2021
Error bounds for parametric polynomial systems with applications to higher-order stability analysis and convergence rates. Zbl 1400.90251
Li, G.; Mordukhovich, B. S.; Nghia, T. T. A.; Phạm, T. S.
17
2018
Characterization of tilt stability via subgradient graphical derivative with applications to nonlinear programming. Zbl 1397.49037
Chieu, Nguyen Huy; Hien, Le Van; Nghia, Tran T. A.
7
2018
Full stability of general parametric variational systems. Zbl 1406.49011
Mordukhovich, B. S.; Nghia, T. T. A.; Pham, D. T.
7
2018
On the convergence of the forward-backward splitting method with linesearches. Zbl 1354.65116
Cruz, José Yunier Bello; Nghia, Tran T. A.
41
2016
Optimal rates of linear convergence of relaxed alternating projections and generalized Douglas-Rachford methods for two subspaces. Zbl 1351.65022
Bauschke, Heinz H.; Bello Cruz, Yunier Y.; Nghia, Tran T. A.; Pha, Hung M.; Wang, Xianfu
24
2016
Local monotonicity and full stability for parametric variational systems. Zbl 1337.49030
Mordukhovich, B. S.; Nghia, T. T. A.
23
2016
Coderivative characterizations of maximal monotonicity for set-valued mappings. Zbl 1347.49026
Chieu, N. H.; Lee, G. M.; Mordukhovich, B. S.; Nghia, T. T. A.
9
2016
Full stability in finite-dimensional optimization. Zbl 1308.90126
Mordukhovich, B. S.; Nghia, T. T. A.; Rockafellar, R. T.
32
2015
Second-order characterizations of tilt stability with applications to nonlinear programming. Zbl 1312.49016
Mordukhovich, B. S.; Nghia, T. T. A.
30
2015
The rate of linear convergence of the Douglas-Rachford algorithm for subspaces is the cosine of the Friedrichs angle. Zbl 1307.49030
Bauschke, Heinz H.; Bello Cruz, J. Y.; Nghia, Tran T. A.; Phan, Hung M.; Wang, Xianfu
56
2014
Second-order growth, tilt stability, and metric regularity of the subdifferential. Zbl 1311.49035
Drusvyatskiy, D.; Mordukhovich, B. S.; Nghia, T. T. A.
47
2014
Full Lipschitzian and Hölderian stability in optimization with applications to mathematical programming and optimal control. Zbl 1304.49047
Mordukhovich, B. S.; Nghia, T. T. A.
42
2014
Nonsmooth cone-constrained optimization with applications to semi-infinite programming. Zbl 1291.49014
Mordukhovich, Boris S.; Nghia, T. T. A.
28
2014
A note on implicit multifunction theorems. Zbl 1290.49030
Nghia, T. T. A.
6
2014
Subdifferentials of nonconvex supremum functions and their applications to semi-infinite and infinite programs with Lipschitzian data. Zbl 1266.49027
Mordukhovich, Boris S.; Nghia, T. T. A.
42
2013
Second-order variational analysis and characterizations of tilt-stable optimal solutions in infinite-dimensional spaces. Zbl 1285.49010
Mordukhovich, B. S.; Nghia, T. T. A.
32
2013
Constraint qualifications and optimality conditions for nonconvex semi-infinite and infinite programs. Zbl 1292.90283
Mordukhovich, B.; Nghia, T. T. A.
28
2013
DC optimization approach to metric regularity of convex multifunctions with applications to infinite systems. Zbl 1277.90146
Mordukhovich, B. S.; Nghia, T. T. A.
3
2012
A nondegenerate fuzzy optimality condition for constrained optimization problems without qualification conditions. Zbl 1269.49020
Nghia, T. T. A.
2
2012
Subdifferentials of value functions and optimality conditions for DC and bilevel infinite and semi-infinite programs. Zbl 1226.90102
Dinh, N.; Mordukhovich, B.; Nghia, T. T. A.
56
2010
A closedness condition and its applications to DC programs with convex constraints. Zbl 1218.90155
Dinh, N.; Nghia, T. T. A.; Vallet, G.
40
2010
Qualification and optimality conditions for dc programs with infinite constraints. Zbl 1190.90264
Dinh, N.; Mordukhovich, B. S.; Nghia, T. T. A.
33
2009
Farkas-type results and duality for DC programs with convex constraints. Zbl 1145.49016
Dinh, Nguyen; Vallet, Guy; Nghia, T. T. A.
40
2008
all cited Publications top 5 cited Publications
all top 5

Cited by 452 Authors

35 Mordukhovich, Boris S.
15 Yao, Jen-Chih
14 Nghia, Tran Thai An
14 Thai Doan Chuong
13 Bauschke, Heinz H.
13 Dinh, Nguyen
12 Bello Cruz, Yunier Y.
11 Cholamjiak, Prasit
11 Kim, Do Sang
9 Behling, Roger
9 Fang, Donghui
9 Santos, Luiz-Rafael
8 Kankam, Kunrada
8 López-Cerdá, Marco Antonio
8 Ng, Kung-Fu
7 Dempe, Stephan
7 Li, Chong
7 Li, Guoyin
7 Pérez-Aros, Pedro
7 Sarabi, M. Ebrahim
7 Zheng, Xiyin
7 Zhu, Jiangxing
6 Gfrerer, Helmut
6 Kanzi, Nader
6 Long, Xianjun
6 Moursi, Walaa M.
6 Phan, Hung M.
6 Sun, Xiangkai
6 Tam, Matthew K.
5 Borwein, Jonathan Michael
5 Correa, Rafael Augusto Couceiro
5 Fadili, Jalal M.
5 Jeyakumar, Vaithilingam
5 Lee, Gue Myung
5 Long, Dang Hai
5 Mohebi, Hossein
5 Peyré, Gabriel
5 Phạm Tiên So’n
5 Reich, Simeon
5 Rockafellar, Ralph Tyrrell
5 Soleimani-damaneh, Majid
5 Suantai, Suthep
5 Wang, Shawn Xianfu
5 Zhang, Binbin
4 Bednarczuk, Ewa M.
4 Bello Cruz, Jose Yunier
4 Chieu, Nguyen Huy
4 Dao, Minh Ngoc
4 Drusvyatskiy, Dmitriy
4 Hantoute, Abderrahim
4 Huang, Nan-Jing
4 Ioffe, Alexander Davidovich
4 Iusem, Alfredo Noel
4 Kruger, Alexander Y.
4 Li, Shengjie
4 Liang, Jingwei
4 Nadi, Mohammad Taghi
4 Ouyang, Wei
4 Phat, Vo Thanh
4 Qui, Nguyen Thanh
4 Rutkowski, Krzysztof E.
4 Son, Ta Quang
4 Yang, Xiaoqi
4 Zafarani, Jafar
4 Zalas, Rafał
3 Aragón Artacho, Francisco Javier
3 Campoy, Rubén
3 Davis, Damek Shea
3 Ding, Chao
3 Dolgopolik, Maxim Vladimirovich
3 Goberna, Miguel Angel
3 Khanh, Pham Duy
3 Kostyukova, Olga Ivanova
3 Le Van Hien
3 Lewis, Adrian S.
3 Li, Gang
3 Lindstrom, Scott B.
3 Outrata, Jiří V.
3 Pham, Thanh Hung
3 Pholasa, Nattawut
3 Qin, Zhenhua
3 Saadati, Maryam
3 Sims, Brailey
3 Tchemisova, Tatiana V.
3 Wachsmuth, Daniel
3 Wangkeeree, Rabian
3 Xu, Yinghong
3 Yuan, Xiaoming
2 Andreani, Roberto
2 Arutyunov, Aram Vladimirovic
2 Baier, Robert
2 Bakhtiari, Hassan
2 Briceño-Arias, Luis M.
2 Cánovas, María Josefa
2 Caristi, Giuseppe
2 Cen, Jinxia
2 Cholamjiak, Watcharaporn
2 Domínguez Corella, Alberto
2 Dontchev, Asen L.
2 Dương Việt Thông
...and 352 more Authors
all top 5

Cited in 72 Serials

46 SIAM Journal on Optimization
38 Optimization
37 Journal of Optimization Theory and Applications
30 Mathematical Programming. Series A. Series B
27 Set-Valued and Variational Analysis
24 Journal of Global Optimization
16 Optimization Letters
14 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
11 Computational Optimization and Applications
9 Positivity
8 Journal of Mathematical Analysis and Applications
7 Numerical Functional Analysis and Optimization
7 Numerical Algorithms
6 Vietnam Journal of Mathematics
6 Journal of Inequalities and Applications
6 Journal of Industrial and Management Optimization
5 Applied Mathematics and Optimization
5 Mathematics of Operations Research
5 Journal of Nonlinear and Variational Analysis
4 Operations Research Letters
4 Computational and Applied Mathematics
4 Thai Journal of Mathematics
3 Applicable Analysis
3 Journal of Approximation Theory
3 Top
3 Journal of Convex Analysis
3 Journal of Fixed Point Theory and Applications
3 Arabian Journal of Mathematics
2 Mathematical Methods in the Applied Sciences
2 Journal of Computational and Applied Mathematics
2 Abstract and Applied Analysis
2 Mathematical Methods of Operations Research
2 Journal of the Australian Mathematical Society
2 Fixed Point Theory and Applications
2 SIAM Journal on Imaging Sciences
2 Journal of the Operations Research Society of China
1 Israel Journal of Mathematics
1 Acta Mathematica Vietnamica
1 Demonstratio Mathematica
1 Journal of Econometrics
1 Numerische Mathematik
1 SIAM Journal on Control and Optimization
1 SIAM Journal on Numerical Analysis
1 Optimal Control Applications & Methods
1 Mathematical and Computer Modelling
1 Journal of Scientific Computing
1 Annals of Operations Research
1 Japan Journal of Industrial and Applied Mathematics
1 Linear Algebra and its Applications
1 Journal of Dynamics and Differential Equations
1 Journal of Mathematical Imaging and Vision
1 SIAM Journal on Scientific Computing
1 Applied and Computational Harmonic Analysis
1 Bulletin of the Belgian Mathematical Society - Simon Stevin
1 Filomat
1 Journal of Applied Analysis
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Optimization Methods & Software
1 Acta Mathematica Sinica. English Series
1 RAIRO. Operations Research
1 Nonlinear Analysis. Real World Applications
1 Journal of Applied Mathematics
1 Acta Mathematica Scientia. Series B. (English Edition)
1 Iranian Journal of Science and Technology. Transaction A: Science
1 Journal of Machine Learning Research (JMLR)
1 Journal of Applied Mathematics and Computing
1 Advances in Difference Equations
1 Numerical Algebra, Control and Optimization
1 Minimax Theory and its Applications
1 International Journal of Systems Science. Principles and Applications of Systems and Integration
1 AIMS Mathematics
1 SIAM Journal on Mathematics of Data Science
all top 5

Cited in 27 Fields

328 Operations research, mathematical programming (90-XX)
201 Calculus of variations and optimal control; optimization (49-XX)
106 Numerical analysis (65-XX)
66 Operator theory (47-XX)
21 Real functions (26-XX)
16 Approximations and expansions (41-XX)
15 Functional analysis (46-XX)
8 Partial differential equations (35-XX)
8 Global analysis, analysis on manifolds (58-XX)
8 Computer science (68-XX)
7 Convex and discrete geometry (52-XX)
6 General topology (54-XX)
6 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
6 Information and communication theory, circuits (94-XX)
5 Algebraic geometry (14-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
4 Systems theory; control (93-XX)
3 Statistics (62-XX)
3 Biology and other natural sciences (92-XX)
2 Dynamical systems and ergodic theory (37-XX)
2 Mechanics of deformable solids (74-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Ordinary differential equations (34-XX)
1 Difference and functional equations (39-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Fluid mechanics (76-XX)
1 Optics, electromagnetic theory (78-XX)

Citations by Year