Nguyen Dong Yen
Full Professor, Doctor of Science

Department of Numerical Analysis and Scientific Computing
Research interests: Optimization Theory, Nonsmooth Analysis, Set-Valued Analysis, Variational Inequalities, Numerical Analysis and Scientific Computing


Address
Office: Building A5, Room 213
Tel: +84 (024 38361121 /512
Email: ndyen AT math.ac.vn

Education and academic degrees:

  • 1999: Dr. Sci., University of Lodz (Lodz, Poland)
  • 1988: Ph.D., Hanoi Institute of Mathematics (Hanoi, Vietnam)
  • 1981: B. s. , The Belorussian State University (Minsk, Belorus).


Research areas:

  • Optimization
  • Nonsmooth Analysis
  • Set-Valued Analysis
  • Variational Inequalities
  • Numerical Analysis and Scientific Computing


PUBLICATIONS

 

List of publications in MathSciNet


List of recent publications
1Nguyen Mau Nam, Gary Sandine, Nguyen Nang Thieu, Nguyen Dong Yen, A Notion of Fenchel Conjugate for Set-Valued Mappings, Journal of Optimization Theory and Applications, Volume 203, pages 1263–1292, (2024), (SCI-E, Scopus).
2Duong Thi Kim Huyen, Nguyen Dong Yen, Some Qualitative Properties of Matrix Two-Person Games, Minimax Theory and its Applications 09 (2024), No. 2, 287--304.
3Nguyen Nang Tam, Nguyen Dong Yen, Ravines of quadratic functions Journal of Applied and Numerical Optimization, Volume 6, Issue 2, 1 August 2024, Pages 203-209.
4D. T. K. Huyen, J.-C. Yao, Nguyen Dong Yen, Characteristic sets and characteristic numbers of matrix two-person games, Journal of Global Optimization, Volume 90, pages 217–241, (2024), (SCI-E, Scopus).
5Yongdo Lim, Hoang Ngoc Tuan, Nguyen Dong Yen, Local Error Bounds for Affine Variational Inequalities on Hilbert Spaces, Numerical Functional Analysis and Optimization Volume 45, 2024, Pages 1-15, (SCI-E, Scopus).
6Tran Hung Cuong, Yongdo Lim, Nguyen Dong Yen, On a solution method in indefinite quadratic programming under linear constraints, Optimization, Volume 73, 2024 - Issue 4, Pages 1087-1112, (SCI-E, Scopus).
7Vu Thi Huong, C. Yalcin Kaya, Nguyen Dong Yen, Solution to an open question about optimal economic growth models. Applicable Analysis, 103 (2024), 1215–1223. (SCI-E, Scopus).
8Dương Thị Kim Huyền, Do Sang Kim, Nguyen Dong Yen, Optimality conditions for nondifferentiable minimax programs and vector optimization problems, Journal of Optimization Theory and Applications 200 (2024), No. 2, 703-723. (SCI-E, Scopus).
9Nguyễn Ngọc Luân, Nguyễn Mậu Nam, Nguyen Nang Thieu, Nguyen Dong Yen, Relationships between polyhedral convex sets and generalized polyhedral convex sets, Journal of Optimization Theory and Applications, 199 (2023), 766-786, (SCI-E, Scopus).
10 Samir Adly, Nguyen Nang Thieu, Nguyen Dong Yen, Convex and Nonconvex Sweeping Processes with Velocity Constraints: Well-Posedness and Insights, Applied Mathematics & Optimization volume 88, Article number: 45 (2023), (SCI-E, Scopus).
11Dương Thị Việt An, Hong-Kun Xu, Nguyen Dong Yen, Fréchet second-order subdifferentials of the Lagrangian function and optimality conditions, SIAM Journal on Optimization 33 (2023), No. 2, 766-784. (SCI-E, Scopus)
12Trần Hùng Cường, Nguyễn Văn Thiện, Jen-Chih Yao, Nguyen Dong Yen, Global solutions of the multi-source Weber problem, Journal of Nonlinear and Convex Analysis 24 (2023), No.4, 669-680. (SCI-E, Scopus)
13N. T. Huong, C.-F. Wen , J.-C. Yao, Nguyen Dong Yen, Proper efficiency in linear fractional vector optimization via Benson's characterization, Optimization: A Journal of Mathematical Programming and Operations Research, 72 (2023), Pages 263-276, (SCI-E, Scopus).
14Nguyễn Ngọc Luân, Do Sang Kim, Nguyen Dong Yen, Two optimal value functions in parametric conic linear programming, Journal of Optimization Theory and Applications 193 (2022), 574-597, (SCI-E, Scopus).
15Dương Thị Kim Huyền, Jen-Chih Yao, Nguyen Dong Yen, The stationary point set map in general parametric optimization problems, Set-Valued and Variational Analysis 30 (2022), no. 1, 305-327, (SCI-E, Scopus).
16Nguyễn Thị Thu Hương, Nguyen Dong Yen, A new class of vector optimization problems with linear fractional objective criteria, Journal of Applied and Numerical Optimization 4 (2022), no. 1, 53-65, (Scopus).
17Nguyễn Thị Thu Hương, Nguyen Dong Yen, Improperly efficient solutions in a class of vector optimization problems, Journal of Global Optimization 82 (2022), no. 2, 375-387, (SCI-E, Scopus).
18Nguyen Khoa Son, Nguyen Nang Thieu, Nguyen Dong Yen, On the solution existence for prox-regular perturbed sweeping processes, Journal of Nonlinear and Variational Analysis 5 (2021), no. 6, 851-863. (SCI-E, Scopus, Preprint: download here).
19Vu Thi Huong, Jen-Chih Yao, Nguyen Dong Yen, Analyzing a maximum principle for finite horizon state constrained problems via parametric examples. Part 2: Problems with bilateral state constraints, Numerical Functional Analysis and Optimization, 42 (2021) 1334-1366. (SCI-E, Scopus, Preprint: download here).
20Nguyễn Thị Thu Hương, Jen-Chih Yao, Nguyen Dong Yen, New results on proper efficiency for a class of vector optimization problems, Applicable Analysis 100 (2021), No. 15, 3199-3211, (SCI-E, Scopus, Preprint: download here.
21Dương Thị Việt An, Nguyen Dong Yen, Optimality conditions based on the Fréchet second-order subdifferential, Journal of Global Optimization 81 (2021), 351-365, (SCI-E, Scopus, Preprint: download here).
22Nguyễn Năng Tâm, C.-F. Wen, J.-C. Yao, Nguyen Dong Yen, Structural convexity and ravines of quadratic functions, Journal of Applied and Numerical Optimization, 3 (2021), No. 2, pp. 425-434, Scopus.
23Vu Thi Huong, Jen-Chih Yao, Nguyen Dong Yen, Optimal Economic Growth Models with Nonlinear Utility Functions, Journal of Optimization Theory and Applications, 188 (2021), 571–596. (SCI-E, Scopus, Preprint: download here).
24Nguyen Dong Yen, Nguyen Thi Thu Huong, Nguyen Ngoc Luan, Xiaopeng Zhao, The Borwein proper efficiency in linear fractional vector optimization, Journal of Nonlinear and Convex Analysis 20 No. 12 (2020), 2579-2595. (SCI-E, Scopus).
25Trần Hùng Cường, Jen-Chih Yao, Nguyen Dong Yen, Qualitative properties of the minimum sum-of-squares clustering problem. Optimization 69 (2020), no. 9, 2131-2154. [SCI-E, Scopus]
26Nguyễn Thị Thu Hương, Jen-Chih Yao, Nguyen Dong Yen, Geoffrion’s proper efficiency in linear fractional vector optimization with unbounded constraint sets, Journal of Global Optimization 78 (2020), No. 3, 545-562. [SCI-(E), Scopus]
27Vu Thi Huong, Jen-Chih Yao, Nguyen Dong Yen, Optimal Processes in a Parametric Optimal Economic Growth Model, Taiwanese Journal of Mathematics, 24 (2020), 1283-1306. SCI(-E); Scopus.
28Trần Hùng Cường, Jen-Chih Yao, Nguyen Dong Yen, On some incremental algorithms for the minimum sum-of-squares clustering problem. Part 2: Incremental DC algorithms, Journal of Nonlinear and Convex Analysis 21 (2020), 1109-1135. [SCI-E, SCOPUS]
29Nguyen Ngoc Luan, Nguyen Dong Yen, A representation of generalized convex polyhedra and applications, Optimization 69 (2020), No. 3, pp. 471-492. [SCI-E, Scopus].
30D. T.V . An, J.-C. Yao, Nguyen Dong Yen, Differential Stability of a Class of Convex Optimal Control Problems, Applied Mathematics & Optimization 81 (No. 1) (2020), pp. 1-22, (SCI(-E), Scopus).
31Vu Thi Huong, Jen-Chih Yao, Nguyen Dong Yen, Analyzing a maximum principle for finite horizon state constrained problems via parametric examples. Part 1: Problems with unilateral state constraints, Journal of Nonlinear and Convex Analysis 21 (2020), 157-182, SCI(-E), Scopus.
32 N. H. Chieu, J.-C. Yao, Nguyen Dong Yen, Convexity of sets and functions via second-order subdifferentials, Linear and Nonlinear Analysis, 5 (2019), pp. 183-199. ISSN 2188-8159
33T. H. Cuong, J.-C. Yao, Nguyen Dong Yen, On some incremental algorithms for the minimum sum-of-squares clustering problem. Part 1: Ordin and Bagirov's incremental algorithm, Journal of Nonlinear and Convex Analysis, 20 (2019), pp. 1591-1608. (SCI-E).
34Nguyen Dong Yen, Tran Hung Cuong, Jen-Chih Yao, On some incremental algorithms for the minimum sum-of-squares clustering problem. Part 1: Ordin and Bagirov's incremental algorithm, Journal of Nonlinear and Convex Analysis, 20 (2019), 1591-1608, SCI(-E), Scopus.
35Dương Thị Kim Huyền, Jen-Chih Yao, Nguyen Dong Yen, Sensitivity analysis of an optimization problem under total perturbations. Part 2: Robinson stability, Journal of Optimization Theory and Applications 180 (2019), 117-139, SCI; Scopus.
36Dương Thị Kim Huyền, Jen-Chih Yao, Nguyen Dong Yen, Sensitivity analysis of an optimization problem under total perturbations. Part 1: Lipschitzian stability, Journal of Optimization Theory and Applications 180 (2019), 91-116, SCI; Scopus.
37Vu Thi Huong, Jen-Chih Yao, Nguyen Dong Yen, Differentiability properties of a parametric consumer problem, J. Nonlinear Convex Anal, 19 (2018), 1217-1245, SCI(-E); Scopus.
38Nguyen Dong Yen, Xiaoqi Yang, Affine variational inequalities on normed spaces, Journal of Optimization Theory and Applications, 178 (2018), 36-55, SCI; Scopus.
39Duong Thi Viet An, Nguyen Dong Yen, Subdifferential stability analysis for convex optimization problems via multiplier sets, Vietnam Journal of Mathematics, 46 (2018), 365-379, Scopus.
40Nguyen Ngoc Luan, Jen-Chih Yao, Nguyen Dong Yen, On Some Generalized Polyhedral Convex Constructions; Numerical Functional Analysis and Optimization 39 (2018), 537-570, SCI(-E); Scopus.
41Vu Thi Huong, Jen-Chih Yao, Nguyen Dong Yen, On the Stability and Solution Sensitivity of a Consumer Problem, Journal of Optimization Theory and Applications, 175 (2017), 567--589,SCI; Scopus.
42N. T. T. Huong, J.C. Yao, Nguyen Dong Yen, Connectedness structure of the solution sets of vector variational inequalities, Optimization, 66 (2017), 889-901, SCI(-E); Scopus.
43P. D. Khanh, J.-C. Yao, Nguyen Dong Yen, The Mordukhovich subdifferentials and directions of descent, Journal of Optimization Theory and Applications, 172 (2017),518--534, SCI; Scopus.
44Bui Ngoc Muoi, Nguyen Dong Yen, Local stability and local convergence of the basic trust-region method, Journal of Optimization Theory and Applications, 72 (2017), 578-593, SCI; Scopus.
45Nguyen Thi Van Hang, Nguyen Dong Yen, On the Problem of Minimizing a Difference of Polyhedral Convex Functions Under Linear Constraints, Journal of Optimization Theory and Applications, 171 (2016), 617–642, SCI; Scopus.
46Nguyen Dong Yen, An Introduction to Vector Variational Inequalities and Some New Results, Acta Mathematica Vietnamica, 41 (2016), 505–529, Scopus.
47Nguyen Thi Thu Huong, Yao J.-C., Nguyen Dong Yen, Polynomial vector variational inequalities under polynomial constraints and applications. SIAM Journal on Optimization 26 (2016), 1060–1071, SCI; Scopus.
48Nguyen Thi Vinh, Nguyen Dong Yen, D.S. Kim, N.N. Tam, Duality gap function in infinite dimensional linear programming. Journal of Mathematical Analysis and Applications, 437 (2016), 1–15,SCI; Scopus.
49Nguyen Thai An, Nguyen Mau Nam , Nguyen Dong Yen, A D.C. Algorithm via Convex Analysis Approach for Solving a Location Problem Involving Sets, Journal of Convex Analysis 23 (2016), 77-101, SCI; Scopus.
50Duong Thi Kim Huyen, Nguyen Dong Yen, Coderivatives and the solution map of a linear constraint system, SIAM Journal on Optimization 26(2016), 986–1007,SCI; Scopus.
51Nguyen Thi Thu Huong, Nguyen Dong Yen, The Adaptive Parameter Control Method and Linear Vector Optimization, Vietnam Journal of Mathematics, 43(2015), 471 -486, Scopus.
52Duong Thi Viet An, Nguyen Dong Yen, Differential stability of convex optimization problems under inclusion constraints. Applicable Analysis 94 (2015), 108 - 128, SCI (-E), Scopus.
53Nguyen Thi Van Hang, Nguyen Dong Yen, Optimality conditions and stability analysis via the Mordukhovich subdifferential, Numerical Functional Analysis and Optimization, 36 (2015), 364 - 386, SCI(-E), Scopus.
54Nguyen Thi Thu Huong, Nguyen Dong Yen, The Pascoletti-Serafini scalarization scheme and linear vector optimization. Journal of Optimization Theory and Applications 162 (2014), 559–576, SCI, Scopus.
55Nguyen Thanh Qui, Nguyen Dong Yen, A class of linear generalized equations. SIAM Journal on Optimization 24 (2014), 210–231, SCI, Scopus.
56G.M. Lee, Nguyen Dong Yen, Coderivatives of a Karush-Kuhn-Tucker point set map and applications, Nonlinear Analysis: Theory, Methods & Applications 95 (2014), 191–201, SCI; Scopus.
57N. T. T. Huong, P. D. Khanh, Nguyen Dong Yen, Multivalued Tikhonov trajectories  of general affine variational inequalities, Journal of Optimization Theory and Applications, 158 (2013), 85 - 96, SCI; Scopus.
58Hoang Ngoc Tuan, Nguyen Dong Yen, Convergence of Pham Dinh-Le Thi's algorithm for the trust-region subproblem,  Journal of Global Optimization, 55 (2013), 337 – 347, SCI; Scopus.
59T. Pham Dinh, Shashi Kant Mishra, Nguyen Dong Yen, Preface [Special Issue: International Conference on Optimization and Its Applications (ICOIA-BHU-2010)]. Held at Banaras Hindu University, Varanasi, February 16–18, 2010. Optimization Letters 6 (2012), 219–220, SCI(-E); Scopus.
60D. S. Kim, N. N. Tam, Nguyen Dong Yen, Solution existence and stability of quadratically constrained convex quadratic programs. Optimization Letters 6 (2012), no. 2, 363–373, SCI(-E); Scopus.
61Nguyen Dong Yen, Linear fractional and Convex quadratic vector optimization problems, Springer, INBN: 978-3-642-21113-3, 297 -- 328.
62Nguyen Dong Yen, N. V. Tuyen, On the concept of generalized order optimality,  Nonlinear Analysis, 75 (2012), 1592 -- 1601, SCI; Scopus.
63Le Thi Hoai An, Pham Dinh Tao, Nguyen Dong Yen, Behavior of DCA sequences for solving the trust-region subproblem,  Journal of Global Optimization, 53 (2012), 317 -- 329, SCI; Scopus.
64G. M. Lee, N. N. Tam, Nguyen Dong Yen, Stability of linear-quadratic minimization over Euclidean balls,  SIAM Journal of Optimization, 22 (2012), 936 -- 952, SCI; Scopus.
65N. T. T. Huong, T. N. Hoa, Ta Duy Phuong, Nguyen Dong Yen, A property of bicriteria affine vector variational inequalities, Applicable Analysis, 91 (2012), 867 – 1879, SCI(-E); Scopus.
66Nguyen Dong Yen, J.-C. Yao, Monotone affine vector variational inequalities, Optimization  60 (2011), 53 - 68, SCI(-E); Scopus.
67G. M. Lee, Nguyen Dong Yen, Fr\'echet and normal coderivatives of implicit multifunctions,  Applicable Analysis 90 (2011), 1011 - 1027, SCI(-E); Scopus.
68N. Q. Huy, Nguyen Dong Yen, Minimax variational inequalities, Acta Mathematica Vietnamica 36 (2011), 265 -- 281 , Scopus.
69N. H. Chieu, T. D. Chuong, J.-C. Yao, Nguyen Dong Yen, Characterizing convexity of a function by its Fr\ echet and limiting second-order subdifferentials,  Set-Valued and Variational Analysis  19 (2011), 75 - 96, SCI(-E); Scopus.
70L. T. H. An, P. D. Tao, Nguyen Dong Yen, Properties of two DC algorithms in quadratic programming, Journal of Global Optimization  49 (2011), 481 - 495, SCI; Scopus.
71N. T. Qui, Nguyen Dong Yen, Some properties of polyhedral multifunctions, Journal of Nonlinear and Convex Analysis, 12 (2011), 483 -- 499, SCI(-E); Scopus.
72J.-C. Yao, Nguyen Dong Yen, Parametric variational system with a smooth-boundary constraint set, In:  Variational Analysis and Generalized Differentiation in Optimization and Control  Eds.), Springer Verlag  47  (2010), 205 - 221.
73Thai Doan Chuong, J.-C. Yao, Nguyen Dong Yen, Further results on the lower semicontinuity of efficient point multifunctions, Pacific Journal of Optimization, 6 (2010), 405 -- 422, SCI(-E); Scopus.
74N. H. Chieu, J.-C. Yao, Nguyen Dong Yen, Relationships between Robinson metric regularity and Lipschitz-like behavior of implicit multifunctions, Nonlinear Analysis: Theory, Methods & Applications 72 (2010), 3594 -- 3601, SCI; Scopus.
75X. Q. Yang, Nguyen Dong Yen, Structure and weak sharp minimum of the Pareto solution set for piecewise linear multiobjective optimization, Journal of Optimization Theory and Applications, 147 (2010), 113 -- 124, SCI; Scopus.
76Nguyen Dong Yen, J.-C. Yao, Point-based sufficient conditions for metric regularity of implicit multifunctions, Nonlinear Analysis: Theory, Methods & Applications, 70 (2009), 2806-2815, SCI, Scopus.
77J.-C. Yao, Nguyen Dong Yen, Coderivative calculation related to a parametric affine variational inequality, Part 2: Applications, Pacific Journal of Optimization,  5 (2009), 493-506, SCI(-E); Scopus.
78J.-C. Yao, Nguyen Dong Yen, Coderivative calculation related to a parametric affine variational inequality, Part 1: Basic calculations,  Acta Math. Vietnamica,  34 (2009), 157-172, Scopus.
79B. S. Mordukhovich, N. M. Nam, Nguyen Dong Yen, Subgradients of marginal functions in parametric mathematical programming,  Math. Program., 116 (2009), 369-396, SCI; Scopus.
80Nguyen Dong Yen, Parametric optimization problems and parametric variational inequalities, Vietnam Journal of Mathematics, 37 (2009), 191-223, Scopus.
81 G. M. Lee, N. N. Tam, Nguyen Dong Yen, Stability of a class of quadratic programs with a conic constraint, Taiwanese Journal of Mathematics, 13 (2009), 1823 -- 1836, SCI; Scopus.
82Bui Trong Kien, J.-C. Yao, Nguyen Dong Yen, On the solution existence of pseudomonotone variational inequalities, J. Glob Optim., 41 (2008), 135-145.
83N. N. Tam, J.-C. Yao, Nguyen Dong Yen, Solution methods for pseudomonotone variational inequalities, J. Optim Theory Appl.,  138 (2008), 253-273.
84G. M. Lee, N. N. Tam, Nguyen Dong Yen, Normal coderivative for multifunctions and implicit function theorems, J. Math. Anal. Appl., 338 (2008), 11-22.
85Nguyen Dong Yen, J.-C. Yao, Bui Trong Kien, Covering properties at positive-order rates of multifunctions and some related topics, J. Math. Anal. Appl., 338 (2008), 467-478.
86Nguyen Dong Yen, J. -C. Yao, Vertical tangent vectors to the graph of a multifunction, Taiwanese Journal of Mathematics, 12 (2008), 1293-1302.
87N. M. Nam, Nguyen Dong Yen, Relationships between approximate Jacobians and coderivatives, J. Nonlinear Convex Anal. 8 (2007), 121-133.
88Gue Myung Lee, Nguyen Nang Tam, Nguyen Dong Yen, Continuity of the solution map in parametric affine variational inequalities, Set-Valued Anal. 15 (2007), 105 - 123.
89Tran Ninh Hoa, Nguyen Quang Huy, Ta Duy Phuong, Nguyen Dong Yen, Unbounded components in the solution sets of strictly quasiconcave vector maximization problems, J. Global Optim. 37 (2007), 1 - 10.
90B. S. Mordukhovich, N. M. Nam, Nguyen Dong Yen, Frechet subdifferential calculus and optimality conditions in nondifferentiable programming, Optimization 55 (2006), 685 - 708.
91G. M. Lee, N. N. Tam, Nguyen Dong Yen, Continuity of the solution map in quadratic programs under linear perturbations, J. Optim. Theory Appl. 129 (2006), 415 - 423.
92G. M. Lee, N. N. Tam, Nguyen Dong Yen, Lower semicontinuity of the KKT point set in quadratic programs under linear perturbations, Vietnam J. Math. 34 (2006), 411 - 422.
93G. M. Lee, N. N. Tam, Nguyen Dong Yen, On the optimal value function of a linearly perturbed quadratic program, J. Global Optim. 32 (2005), N0 1, 119 - 134.
94Tran Ninh Hoa, Ta Duy Phuong, Nguyen Dong Yen, Linear fractional vector optimization problems with many components in the solution sets. J. Ind. Manag. Optim. 1 (2005), 477 - 486.
95T. N. Hoa, Ta Duy Phuong, Nguyen Dong Yen, Bicriteria strictly quasiconcave maximization on noncompact sets. Nonlinear Anal. Forum 10 (2005),  137 - 144.
96T. N. Hoa, Ta Duy Phuong, Nguyen Dong Yen, On the parametric affine variational inequality approach to linear fractional vector optimization problems,  Vietnam J. Math. 33 (2005), 477 - 489.
97Gue Myung Lee, Nguyen Nang Tam, Nguyen Dong Yen, Quadratic programming and affine variational inequalities: a qualitative study, Series ``Nonconvex Optimization and its Applications", Vol. 78, XIV + 345 p., Springer Verlag, 2005.
98Nguyen Quang Huy, Nguyen Dong Yen, Contractibility of the solution sets in strictly quasiconcave vector maximization on noncompact domains, J. Optim. Theory Appl. 124 (2005), 615 - 635.
99Nguyen Quang Huy, Nguyen Dong Yen, Remarks on a conjecture of J. Benoist. Nonlinear Anal. Forum 9 (2004), 109 - 117.
100V. Jeyakumar, Nguyen Dong Yen, Solution stability of nonsmooth continuous systems with applications to cone-constrained optimization. SIAM J. Optim. 14 (2004), 1106 - 1127.
101G. M. Lee, N. N. Tam, Nguyen Dong Yen, Some recent results on quadratic programs and affine variational inequality problems under linear perturbations, In: Fixed point theory and applications, Vol. 5, (Y. J. Cho, J. K. Kim and S. M. Kang, Eds.), Nova Sci. Publ., NY, 2004, 59 - 77.
102Nguyen Dong Yen, On a problem of B. Ricceri on variational inequalities, In: Fixed point theory and applications, Vol. 5 (Y. J. Cho, J. K. Kim and S. M. Kang, Eds.), Nova Sci. Publ., NY, 2004, 163 - 173.
103N. Q. Huy, Ta Duy Phuong, Nguyen Dong Yen, On the contractibility of the efficient and weakly efficient sets in R2. In: Equilibrium problems and variational models (Erice, 2000), 265 - 279, Nonconvex Optim. Appl. 68, Kluwer Acad. Publ., Norwell, MA, 2003.
104Nguyen Dong Yen, Hung, Nguyen Xuan, A criterion for the compactness of the solution set of a linear complementarity problem. In: Fixed point theory and applications, Vol. 2 (Y. J. Cho, J. K. Kim and S. M. Kang, Eds.), Nova Sci. Publ., NY, 2001, 135 - 141.
105Nguyen Dong Yen, Bui Trong Kim, Linear operators satisfying the assumptions of some generalized Lax-Milgram theorems, Acta Math. Vietnam. 26 (2001), N0 3, 407 - 417.
106G. M. Lee, Nguyen Dong Yen, A result on vector variational inequalities with polyhedral constraint sets. J. Optim. Theory Appl. 109 (2001), 193 - 197.
107Hoang Xuan Phu, Nguyen Dong Yen, On the stability of solutions to quadratic programming problems. Math. Program. 89 (2001),  Ser.A, 385 - 394.
108Nguyen Dong Yen, G. M. Lee, Some remarks on the elliptic regulization method, In: Fixed Point Theory and Applications (Y. J. Cho, Ed.), Nova Science Publishers, New York, 2000, 127 - 134.
109Nguyen Dong Yen, Gue Myung Lee, On monotone and strongly monotone vector variational inequalities. In: Vector Variational Inequalities and Vector Equilibria. Mathematical Theories (F. Giannessi, Ed.), Kluwer Academic Publishers, Dordrecht, 2000, 467 - 478.
110N. N. Tam, Nguyen Dong Yen, Stability of the Karush-Kuhn-Tucker point set in a general quadratic programming problem. Vietnam J. Math. 28 (2000), No 1, 67 - 79.
111Nguyen Dong Yen, Ta Duy Phuong, Connectedness and stability of the solution set in linear fractional vector optimization problems. In: "Vector Variational Inequalities and Vector Equilibria. Mathematical Theories", F. Giannessi, Ed., Nonconvex Optim. Appl. 38, Kluwer Academic Publishers, Dordrecht, 2000, 479 - 489.
112Nguyen Nang Tam, Nguyen Dong Yen, Continuity properties of the Karush-Kuhn-Tucker point set in quadratic programming problems. Math. Programming 85 (1999), 193 - 206.
113Lee Gue Myung, Kim Do Sang, Byung Soo, Nguyen Dong Yen, Lee, On a strongly monotone vector variational inequality. Nonlinear Anal. Forum 3 (1998), 151–176.
114Gue Myung Lee, Do Sang Kim, Byung Soo Lee, Nguyen Dong Yen, Vector variational inequality as a tool for studying vector optimization problems. Nonlinear Analysis: Theory, Methods & Applications 34 (1998), 745 - 765.
115Paolo Cubiotti, Nguyen Dong Yen, A result related to Ricceri's conjecture on generalized quasi-variational inequalities, Arch. Math. 69 (1997), 507 - 514.
116Nguyen Dong Yen, Gue Myung Lee, Solution sensitivity of a class of variational inequalities. J. Math. Anal. Appl. 215 (1997), 48 - 55.
117Nguyen Dong Yen, Stability of the solution set of perturbed nonsmooth inequality systems and application. J. Optim. Theory Appl. 93 (1997), 199 - 225.
118Phạm Hữu Sách, Nguyen Dong Yen, Convexity criteria for set-valued maps. Set-Valued Analysis 5 (1997), 37 - 45.
119W. Oettli, Nguyen Dong Yen, An example of a bad quasicomplementarity problem. J. Optim. Theory Appl. 90 (1996), 213 - 215.
120W. Oettli, Nguyen Dong Yen, Quasicomplementarity problems of R0 type. J. Optim. Theory Appl. 89 (1996), 467 - 474.
121Nguyen Dong Yen, Lipschitz continuity of solutions of variational inequalities with a parametric polyhedral constraint. Math. Oper. Research 20 (1995), 695 - 708.
122Oettli Werner, Nguyen Dong Yen, Continuity of the solution set of homogeneous equilibrium problems and linear complementarity problems, In: Variational Inequalities and Network Equilibrium Problems (F. Giannessi and A. Maugeri, Eds.), Plenum Press, New York, 1995, 225 - 234.
123Nguyen Dong Yen, A mean value theorem for semidifferentiable functions. Vietnam J. Math. 23 (1995), 221 - 228.
124Nguyen Dong Yen, On G-semidifferentiable functions in Euclidean spaces. J. Optim. Theory Appl. 85 (1995), 377 - 392.
125Nguyen Dong Yen, Holder continuity of solutions to a parametric variational inequality. Appl. Math. Optim. 31 (1995), 245 - 255.
126Nguyen Dong Yen, On an existence theorem for generalized quasi-variational inequalities. Set-Valued Anal. 3 (1995), 1 - 10.
127Ta Duy Phuong, Phạm Hữu Sách, Nguyen Dong Yen, Strict lower semicontinuity of the level sets and invexity of a locally Lipschitz function. J. Optim. Theory Appl. 87 (1995), 579 - 594.
128Nguyen Dong Yen, On a class of discontinuous vector-valued functions and the associated quasi-varia-tional inequalities. Optimization 30 (1994), 197 - 203.
129G. Mastroeni, M. Pappalardo, Nguyen Dong Yen, Image of a parametric optimization problem and continuity of the perturbation function. J. Optim. Theory Appl. 81 (1994), 193 - 202.
130Phạm Hữu Sách, Nguyen Dong Yen, B.D. Craven, Generalized invexity and duality theories with multifunctions. Numer. Funct. Anal. Optim. 15 (1994), 131 - 153.
131Nguyen Dong Yen, Phạm Hữu Sách, On locally Lipschitz vector-valued invex functions. Bull. Austral. Math. Soc. 47 (1993), 259 - 271.
132Pham Huy Dien, Nguyen Dong Yen, Correction: "On implicit function theorems for set-valued maps and their application to mathematical programming under inclusion constraints'' [Appl. Math. Optim. 24 (1991), 35–54]. Appl. Math. Optim. 26 (1992), 111
133B. D. Craven, Phạm Hữu Sách, Nguyen Dong Yen, Ta Duy Phuong, A new class of invex multi-functions. In: Nonsmooth Optimization: Methods and Applications (F. Gianessi, ed.), Gordon and Breach Science Publishers, 1992, 52 - 69
134Pham Hong Quang, Nguyen Dong Yen, New proof for a theorem of F. Giannessi. J. Optim. Theory Appl. 68 (1991), 385 - 387.
135Pham Huy Dien, Nguyen Dong Yen, On implicit function theorems for set-valued maps and their application to mathematical programming under inclusion constraints. Appl. Math. Optim. 24 (1991), 35 - 54.
136Nguyen Dong Yen, Pham Huy Dien, On differential estimations for marginal functions in mathematical programming problems with inclusion constraints. In: Lecture Notes in Control and Information Sciences, Springer Verlag, Berlin, 143 (1990), 244 - 251.
137Nguyen Dong Yen, Trinh Cong Dieu, On local controllability of nondifferentiable discrete-time systems with nonconvex constraints on controls. Optimization 20 (1989), 189 - 199.
138Nguyen Dong Yen, Implicit function theorems for set-valued maps. Acta Math. Vietnam. 12 (1987), 17 - 28.
139Nguyen Dong Yen, Local controllability for Lipschitzian discrete-time systems. Acta Math. Vietnam. 11 (1986), 172 - 179.
140Pham Huy Dien, Nguyen Dong Yen, A remark on the Clarke tangent cone. Acta Math. Vietnam. 10 (1985), 144 - 147.