Nguyen Dong Yen
Full Professor, Doctor of Science
Department of Numerical Analysis and Scientific Computing

Address
Office: Building A5, Room 213
Tel: +84 (0)4 37563474 /213
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
 SetValued Analysis
 Variational Inequalities
 Numerical Analysis and Scientific Computing
PUBLICATIONS
List of publications in MathSciNet
1  Nguyen Dong Yen, Xiaoqi Yang, Affine variational inequalities on normed spaces, Journal of Optimization Theory and Applications, 178 (2018), 3655. 
2  Duong Thi Viet An, Nguyen Dong Yen, Subdifferential stability analysis for convex optimization problems via multiplier sets, Vietnam Journal of Mathematics, 46 (2018), 365379. 
3  Nguyen Ngoc Luan, JenChih Yao, Nguyen Dong Yen, On Some Generalized Polyhedral Convex Constructions; Numerical Functional Analysis and Optimization 39 (2018), 537570. 
4  Vu Thi Huong, JenChih Yao, Nguyen Dong Yen, On the Stability and Solution Sensitivity of a Consumer Problem, Journal of Optimization Theory and Applications, 175 (2017), 567589. 
5  N. T. T. Huong, J.C. Yao, Nguyen Dong Yen, Connectedness structure of the solution sets of vector variational inequalities, Optimization, 66 (2017), 889901. 
6  P. D. Khanh, J.C. Yao, Nguyen Dong Yen, The Mordukhovich subdifferentials and directions of descent, Journal of Optimization Theory and Applications, 172 (2017),518534. 
7  Bui Ngoc Muoi, Nguyen Dong Yen, Local stability and local convergence of the basic trustregion method, Journal of Optimization Theory and Applications, 72 (2017), 578593 
8  Nguyen 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. 
9  Nguyen Dong Yen, An Introduction to Vector Variational Inequalities and Some New Results, Acta Mathematica Vietnamica, 41 (2016), 505–529. 
10  Nguyen 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. 
11  Nguyen 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. 
12  Nguyen 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), 77101. 
13  Duong Thi Kim Huyen, Nguyen Dong Yen, Coderivatives and the solution map of a linear constraint system, SIAM Journal on Optimization 26(2016), 986–1007. 
14  Nguyen Thi Thu Huong, Nguyen Dong Yen, The Adaptive Parameter Control Method and Linear Vector Optimization, Vietnam Journal of Mathematics, 43(2015), 471 486. 
15  Duong Thi Viet An, Nguyen Dong Yen, Differential stability of convex optimization problems under inclusion constraints. Applicable Analysis 94 (2015), 108  128. 
16  Nguyen Thi Van Hang, Nguyen Dong Yen, Optimality conditions and stability analysis via the Mordukhovich subdifferential, Numerical Functional Analysis and Optimization, 36 (2015), 364  386. 
17  Nguyen Thi Thu Huong, Nguyen Dong Yen, The PascolettiSerafini scalarization scheme and linear vector optimization. J. Optim. Theory Appl. 162 (2014), 559–576. 
18  Nguyen Thanh Qui, Nguyen Dong Yen, A class of linear generalized equations. SIAM J. Optim. 24 (2014), 210–231. 
19  G.M. Lee, Nguyen Dong Yen, Coderivatives of a KarushKuhnTucker point set map and applications, Nonlinear Analysis: Theory, Methods & Applications 95 (2014), 191–201. 
20  N. 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. 
21  Hoang Ngoc Tuan, Nguyen Dong Yen, Convergence of Pham DinhLe Thi's algorithm for the trustregion subproblem, Journal of Global Optimization, 55 (2013), 337 – 347. 
22  T. Pham Dinh, Shashi Kant Mishra, Nguyen Dong Yen, Preface [Special Issue: International Conference on Optimization and Its Applications (ICOIABHU2010)]. Held at Banaras Hindu University, Varanasi, February 16–18, 2010. Optim. Lett. 6 (2012), 219–220. 
23  D. S. Kim, N. N. Tam, Nguyen Dong Yen, Solution existence and stability of quadratically constrained convex quadratic programs. Optim. Lett. 6 (2012), no. 2, 363–373. 
24  Nguyen Dong Yen, Linear fractional and Convex quadratic vector optimization problems, Springer, INBN: 9783642211133, 297  328. 
25  Nguyen Dong Yen, N. V. Tuyen, On the concept of generalized order optimality, Nonlinear Analysis, 75 (2012), 1592  1601. 
26  Le Thi Hoai An, Pham Dinh Tao, Nguyen Dong Yen, Behavior of DCA sequences for solving the trustregion subproblem, Journal of Global Optimization, 53 (2012), 317  329. 
27  G. M. Lee, N. N. Tam, Nguyen Dong Yen, Stability of linearquadratic minimization over Euclidean balls, SIAM Journal of Optimization, 22 (2012), 936  952. 
28  N. 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. 
29  Nguyen Dong Yen, J.C. Yao, Monotone affine vector variational inequalities, Optimization 60 (2011), 53  68. 
30  G. M. Lee, Nguyen Dong Yen, Fr\'echet and normal coderivatives of implicit multifunctions, Applicable Analysis 90 (2011), 1011  1027. 
31  N. Q. Huy, Nguyen Dong Yen, Minimax variational inequalities, Acta Math. Vietnamica 36 (2011), 265  281. 
32  N. H. Chieu, T. D. Chuong, J.C. Yao, Nguyen Dong Yen, Characterizing convexity of a function by its Fr\ echet and limiting secondorder subdifferentials, SetValued and Variational Analysis 19 (2011), 75  96. 
33  L. 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. 
34  N. T. Qui, Nguyen Dong Yen, Some properties of polyhedral multifunctions, Journal of Nonlinear and Convex Analysis, 12 (2011), 483  499. 
35  J.C. Yao, Nguyen Dong Yen, Parametric variational system with a smoothboundary constraint set, In: Variational Analysis and Generalized Differentiation in Optimization and Control Eds.), Springer Verlag 47 (2010), 205  221. 
36  Thai 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. 
37  N. H. Chieu, J.C. Yao, Nguyen Dong Yen, Relationships between Robinson robust stability and Lipschitzlike behavior of implicit multifunctions, Nonlinear Anal.: Theory, Methods & Appl., 72 (2010), 3594  3601. 
38  X. Q. Yang, Nguyen Dong Yen, Structure and weak sharp minimum of the Pareto solution set for piecewise linear multiobjective optimization, J. Optim. Theory Appl., 147 (2010), 113  124. 
39  G. M. Lee, N. N. Tam, Nguyen Dong Yen, Stability of a class of quadratic programs with a conic constraint, Taiwanese J. Math., 13 (2009), 1823  1836. 
40  Nguyen Dong Yen, J.C. Yao, Pointbased sufficient conditions for metric regularity of implicit multifunctions, Nonlinear Analysis: Theory, Methods & Applications, 70 (2009), 28062815. 
41  J.C. Yao, Nguyen Dong Yen, Coderivative calculation related to a parametric affine variational inequality, Part 2: Applications, Pacific Journal of Optimization, 5 (2009), 493506. 
42  J.C. Yao, Nguyen Dong Yen, Coderivative calculation related to a parametric affine variational inequality, Part 1: Basic calculations, Acta Math. Vietnamica, 34 (2009), 157172. 
43  B. S. Mordukhovich, N. M. Nam, Nguyen Dong Yen, Subgradients of marginal functions in parametric mathematical programming, Math. Program., 116 (2009), 369396. 
44  Nguyen Dong Yen, Parametric optimization problems and parametric variational inequalities, Vietnam Journal of Mathematics, 37 (2009), 191223. 
45  Bui Trong Kien, J.C. Yao, Nguyen Dong Yen, On the solution existence of pseudomonotone variational inequalities, J. Glob Optim., 41 (2008), 135145. 
46  N. N. Tam, J.C. Yao, Nguyen Dong Yen, Solution methods for pseudomonotone variational inequalities, J. Optim Theory Appl., 138 (2008), 253273. 
47  G. M. Lee, N. N. Tam, Nguyen Dong Yen, Normal coderivative for multifunctions and implicit function theorems, J. Math. Anal. Appl., 338 (2008), 1122. 
48  Nguyen Dong Yen, J.C. Yao, Bui Trong Kien, Covering properties at positiveorder rates of multifunctions and some related topics, J. Math. Anal. Appl., 338 (2008), 467478. 
49  Nguyen Dong Yen, J. C. Yao, Vertical tangent vectors to the graph of a multifunction, Taiwanese Journal of Mathematics, 12 (2008), 12931302. 
50  N. M. Nam, Nguyen Dong Yen, Relationships between approximate Jacobians and coderivatives, J. Nonlinear Convex Anal. 8 (2007), 121133. 
51  Gue Myung Lee, Nguyen Nang Tam, Nguyen Dong Yen, Continuity of the solution map in parametric affine variational inequalities, SetValued Anal. 15 (2007), 105  123. 
52  Tran 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. 
53  B. S. Mordukhovich, N. M. Nam, Nguyen Dong Yen, Frechet subdifferential calculus and optimality conditions in nondifferentiable programming, Optimization 55 (2006), 685  708. 
54  G. 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. 
55  G. 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. 
56  G. 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. 
57  Tran 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. 
58  T. N. Hoa, Ta Duy Phuong, Nguyen Dong Yen, Bicriteria strictly quasiconcave maximization on noncompact sets. Nonlinear Anal. Forum 10 (2005), 137  144. 
59  T. 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. 
60  Gue 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. 
61  Nguyen 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. 
62  Nguyen Quang Huy, Nguyen Dong Yen, Remarks on a conjecture of J. Benoist. Nonlinear Anal. Forum 9 (2004), 109  117. 
63  V. Jeyakumar, Nguyen Dong Yen, Solution stability of nonsmooth continuous systems with applications to coneconstrained optimization. SIAM J. Optim. 14 (2004), 1106  1127. 
64  G. 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. 
65  Nguyen 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. 
66  N. 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. 
67  Nguyen 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. 
68  Nguyen Dong Yen, Bui Trong Kim, Linear operators satisfying the assumptions of some generalized LaxMilgram theorems, Acta Math. Vietnam. 26 (2001), N0 3, 407  417. 
69  G. M. Lee, Nguyen Dong Yen, A result on vector variational inequalities with polyhedral constraint sets. J. Optim. Theory Appl. 109 (2001), 193  197. 
70  Hoang Xuan Phu, Nguyen Dong Yen, On the stability of solutions to quadratic programming problems. Math. Program. 89 (2001), Ser.A, 385  394. 
71  Nguyen 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. 
72  Nguyen 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. 
73  N. N. Tam, Nguyen Dong Yen, Stability of the KarushKuhnTucker point set in a general quadratic programming problem. Vietnam J. Math. 28 (2000), No 1, 67  79. 
74  Nguyen 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. 
75  Nguyen Nang Tam, Nguyen Dong Yen, Continuity properties of the KarushKuhnTucker point set in quadratic programming problems. Math. Programming 85 (1999), 193  206. 
76  Lee 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. 
77  Gue 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. 
78  Paolo Cubiotti, Nguyen Dong Yen, A result related to Ricceri's conjecture on generalized quasivariational inequalities, Arch. Math. 69 (1997), 507  514. 
79  Nguyen Dong Yen, Gue Myung Lee, Solution sensitivity of a class of variational inequalities. J. Math. Anal. Appl. 215 (1997), 48  55. 
80  Nguyen Dong Yen, Stability of the solution set of perturbed nonsmooth inequality systems and application. J. Optim. Theory Appl. 93 (1997), 199  225. 
81  Pham Huu Sach, Nguyen Dong Yen, Convexity criteria for setvalued maps. SetValued Analysis 5 (1997), 37  45. 
82  W. Oettli, Nguyen Dong Yen, An example of a bad quasicomplementarity problem. J. Optim. Theory Appl. 90 (1996), 213  215. 
83  W. Oettli, Nguyen Dong Yen, Quasicomplementarity problems of R0 type. J. Optim. Theory Appl. 89 (1996), 467  474. 
84  Nguyen Dong Yen, Lipschitz continuity of solutions of variational inequalities with a parametric polyhedral constraint. Math. Oper. Research 20 (1995), 695  708. 
85  Oettli 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. 
86  Nguyen Dong Yen, A mean value theorem for semidifferentiable functions. Vietnam J. Math. 23 (1995), 221  228. 
87  Nguyen Dong Yen, On Gsemidifferentiable functions in Euclidean spaces. J. Optim. Theory Appl. 85 (1995), 377  392. 
88  Nguyen Dong Yen, Holder continuity of solutions to a parametric variational inequality. Appl. Math. Optim. 31 (1995), 245  255. 
89  Nguyen Dong Yen, On an existence theorem for generalized quasivariational inequalities. SetValued Anal. 3 (1995), 1  10. 
90  Ta Duy Phuong, Pham Huu Sach, 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. 
91  Nguyen Dong Yen, On a class of discontinuous vectorvalued functions and the associated quasivariational inequalities. Optimization 30 (1994), 197  203. 
92  G. 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. 
93  Pham Huu Sach, Nguyen Dong Yen, B.D. Craven, Generalized invexity and duality theories with multifunctions. Numer. Funct. Anal. Optim. 15 (1994), 131  153. 
94  Nguyen Dong Yen, Pham Huu Sach, On locally Lipschitz vectorvalued invex functions. Bull. Austral. Math. Soc. 47 (1993), 259  271. 
95  Pham Huy Dien, Nguyen Dong Yen, Correction: "On implicit function theorems for setvalued maps and their application to mathematical programming under inclusion constraints'' [Appl. Math. Optim. 24 (1991), 35–54]. Appl. Math. Optim. 26 (1992), 111 
96  B. D. Craven, Pham Huu Sach, Nguyen Dong Yen, Ta Duy Phuong, A new class of invex multifunctions. In: Nonsmooth Optimization: Methods and Applications (F. Gianessi, ed.), Gordon and Breach Science Publishers, 1992, 52  69 
97  Pham Hong Quang, Nguyen Dong Yen, New proof for a theorem of F. Giannessi. J. Optim. Theory Appl. 68 (1991), 385  387. 
98  Pham Huy Dien, Nguyen Dong Yen, On implicit function theorems for setvalued maps and their application to mathematical programming under inclusion constraints. Appl. Math. Optim. 24 (1991), 35  54. 
99  Nguyen 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. 
100  Nguyen Dong Yen, Trinh Cong Dieu, On local controllability of nondifferentiable discretetime systems with nonconvex constraints on controls. Optimization 20 (1989), 189  199. 
101  Nguyen Dong Yen, Implicit function theorems for setvalued maps. Acta Math. Vietnam. 12 (1987), 17  28. 
102  Nguyen Dong Yen, Local controllability for Lipschitzian discretetime systems. Acta Math. Vietnam. 11 (1986), 172  179. 
103  Pham Huy Dien, Nguyen Dong Yen, A remark on the Clarke tangent cone. Acta Math. Vietnam. 10 (1985), 144  147. 
1  IMH2012/12/01, Bui Trong Kien, Nguyen Dong Yen, J.  C. Yao, Corrigendum on "Covering properties at positiveorder rates of multifunctions and some related topics" 
Highlights
26/07/18, Conference: Một số phương pháp phân tích thống kê hiện đại và Ứng dụng 
14/08/18, Conference: Đại hội Toán học Việt Nam lần thứ 9 
10/09/18, Conference: The 10th JapanVietnam Joint Seminar on Commutative Algebra 
15/09/18, Conference: The 6th FrancoJapaneseVietnamese Symposium on Singularities 
22/10/18, Conference: The Third MongoliaRussiaVietnam Workshop on Numerical Solution of Integral and Differential Equations (NSIDE 2018) 
23/10/18, Conference: ALGEBRAIC GEOMETRY IN EAST ASIA 
03/12/18, Conference: Arithmetic Geometry and de Rham Theory 