Nguyễn Đông Yên


GS. TSKH. NCVCC

Phòng Giải tích số và tính toán khoa học
Hướng nghiên cứu: Tối ưu, giải tích không trơn, giải tích đa trị, bất đẳng thức biến phân, giải tích số và tính toán khoa học


Liên hệ
Phòng làm việc: 213, Nhà A5
Điện thoại: +84 (0)4 37563474 /213
Email: ndyen AT math.ac.vn

Lý lịch khoa học

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

Các lĩnh vực quan tâm

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


DANH SÁCH CÔNG TRÌNH

Danh sách trong Mathscinet


Danh sách gần đây
1Vũ Thị Hướng, Jen-Chih Yao, Nguyễn Đông Yên, On the Stability and Solution Sensitivity of a Consumer Problem, Journal of Optimization Theory and Applications, 175 (2017), 567--589.
2N. T. T. Huong, J.C. Yao, Nguyễn Đông Yên, Connectedness structure of the solution sets of vector variational inequalities, Optimization, 66 (2017), 889-901.
3P. D. Khanh, J.-C. Yao, Nguyễn Đông Yên, The Mordukhovich subdifferentials and directions of descent, Journal of Optimization Theory and Applications, 172 (2017),518--534.
4Bui Ngoc Muoi, Nguyễn Đông Yên, Local stability and local convergence of the basic trust-region method, Journal of Optimization Theory and Applications, 72 (2017), 578-593
5Nguyễn Thị Vân Hằng, Nguyễn Đông Yên, On the Problem of Minimizing a Difference of Polyhedral Convex Functions Under Linear Constraints, Journal of Optimization Theory and Applications, 171 (2016), 617–642.
6Nguyễn Đông Yên, An Introduction to Vector Variational Inequalities and Some New Results, Acta Mathematica Vietnamica, 41 (2016), 505–529.
7Nguyen Thi Thu Huong, Yao J.-C., Nguyễn Đông Yên, Polynomial vector variational inequalities under polynomial constraints and applications. SIAM Journal on Optimization 26 (2016), 1060–1071.
8Nguyen Thi Vinh, Nguyễn Đông Yên, D.S. Kim, N.N. Tam, Duality gap function in infinite dimensional linear programming. Journal of Mathematical Analysis and Applications, 437 (2016), 1–15.
9Nguyen Thai An, Nguyen Mau Nam , Nguyễn Đông Yên, A D.C. Algorithm via Convex Analysis Approach for Solving a Location Problem Involving Sets, Journal of Convex Analysis 23 (2016), 77-101.
10Duong Thi Kim Huyen, Nguyễn Đông Yên, Coderivatives and the solution map of a linear constraint system, SIAM Journal on Optimization 26(2016), 986–1007.
11Nguyen Thi Thu Huong, Nguyễn Đông Yên, The Adaptive Parameter Control Method and Linear Vector Optimization, Vietnam Journal of Mathematics, 43(2015), 471 -486.
12Duong Thi Viet An, Nguyễn Đông Yên, Differential stability of convex optimization problems under inclusion constraints. Applicable Analysis 94 (2015), 108 - 128.
13Nguyễn Thị Vân Hằng, Nguyễn Đông Yên, Optimality conditions and stability analysis via the Mordukhovich subdifferential, Numerical Functional Analysis and Optimization, 36 (2015), 364 - 386.
14Nguyen Thi Thu Huong, Nguyễn Đông Yên, The Pascoletti-Serafini scalarization scheme and linear vector optimization. J. Optim. Theory Appl. 162 (2014), 559–576.
15Nguyen Thanh Qui, Nguyễn Đông Yên, A class of linear generalized equations. SIAM J. Optim. 24 (2014), 210–231.
16G.M. Lee, Nguyễn Đông Yên, Coderivatives of a Karush-Kuhn-Tucker point set map and applications, Nonlinear Analysis: Theory, Methods & Applications 95 (2014), 191–201.
17N. T. T. Huong, P. D. Khanh, Nguyễn Đông Yên, Multivalued Tikhonov trajectories  of general affine variational inequalities, Journal of Optimization Theory and Applications, 158 (2013), 85 - 96.
18Hoang Ngoc Tuan, Nguyễn Đông Yên, Convergence of Pham Dinh-Le Thi's algorithm for the trust-region subproblem,  Journal of Global Optimization, 55 (2013), 337 – 347.
19T. Pham Dinh, Shashi Kant Mishra, Nguyễn Đông Yên, Preface [Special Issue: International Conference on Optimization and Its Applications (ICOIA-BHU-2010)]. Held at Banaras Hindu University, Varanasi, February 16–18, 2010. Optim. Lett. 6 (2012), 219–220.
20D. S. Kim, N. N. Tam, Nguyễn Đông Yên, Solution existence and stability of quadratically constrained convex quadratic programs. Optim. Lett. 6 (2012), no. 2, 363–373.
21Nguyễn Đông Yên, Linear fractional and Convex quadratic vector optimization problems, Springer, INBN: 978-3-642-21113-3, 297 -- 328.
22Nguyễn Đông Yên, N. V. Tuyen, On the concept of generalized order optimality,  Nonlinear Analysis, 75 (2012), 1592 -- 1601.
23Le Thi Hoai An, Pham Dinh Tao, Nguyễn Đông Yên, Behavior of DCA sequences for solving the trust-region subproblem,  Journal of Global Optimization, 53 (2012), 317 -- 329.
24G. M. Lee, N. N. Tam, Nguyễn Đông Yên, Stability of linear-quadratic minimization over Euclidean balls,  SIAM Journal of Optimization, 22 (2012), 936 -- 952.
25N. T. T. Huong, T. N. Hoa, Tạ Duy Phượng, Nguyễn Đông Yên, A property of bicriteria affine vector variational inequalities, Applicable Analysis, 91 (2012), 867 – 1879.
26Nguyễn Đông Yên, J.-C. Yao, Monotone affine vector variational inequalities, Optimization  60 (2011), 53 - 68.
27G. M. Lee, Nguyễn Đông Yên, Fr\'echet and normal coderivatives of implicit multifunctions,  Applicable Analysis 90 (2011), 1011 - 1027.
28N. Q. Huy, Nguyễn Đông Yên, Minimax variational inequalitiesActa Math. Vietnamica  36 (2011), 265 -- 281.
29N. H. Chieu, T. D. Chuong, J.-C. Yao, Nguyễn Đông Yên, Characterizing convexity of a function by its Fr\ echet and limiting second-order subdifferentials,  Set-Valued and Variational Analysis  19 (2011), 75 - 96.
30L. T. H. An, P. D. Tao, Nguyễn Đông Yên, Properties of two DC algorithms in quadratic programming, Journal of Global Optimization  49 (2011), 481 - 495.
31N. T. Qui, Nguyễn Đông Yên, Some properties of polyhedral multifunctions,  Journal of Nonlinear and Convex Analysis, 12 (2011), 483 -- 499.
32J.-C. Yao, Nguyễn Đông Yên, 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.
33Thai Doan Chuong, J.-C. Yao, Nguyễn Đông Yên, Further results on the lower semicontinuity of efficient point multifunctions,Pacific Journal of Optimization, 6 (2010), 405 -- 422.
34N. H. Chieu, J.-C. Yao, Nguyễn Đông Yên, Relationships between Robinson robust stability and Lipschitz-like behavior of implicit multifunctions, Nonlinear Anal.: Theory, Methods & Appl., 72 (2010), 3594 -- 3601.
35X. Q. Yang, Nguyễn Đông Yên, Structure and weak sharp minimum of the Pareto solution set for piecewise linear multiobjective optimization, J. Optim. Theory Appl., 147 (2010), 113 -- 124.
36 G. M. Lee, N. N. Tam, Nguyễn Đông Yên, Stability of a class of quadratic programs with a conic constraint, Taiwanese J. Math., 13 (2009), 1823 -- 1836.
37Nguyễn Đông Yên, J.-C. Yao, Point-based sufficient conditions for metric regularity of implicit multifunctions, Nonlinear Analysis: Theory, Methods & Applications, 70 (2009), 2806-2815.
38J.-C. Yao, Nguyễn Đông Yên, Coderivative calculation related to a parametric affine variational inequality, Part 2: Applications, Pacific Journal of Optimization,  5 (2009), 493-506.
39J.-C. Yao, Nguyễn Đông Yên, Coderivative calculation related to a parametric affine variational inequality, Part 1: Basic calculations,  Acta Math. Vietnamica,  34 (2009), 157-172.
40B. S. Mordukhovich, N. M. Nam, Nguyễn Đông Yên, Subgradients of marginal functions in parametric mathematical programming,  Math. Program., 116 (2009), 369-396.
41Nguyễn Đông Yên, Parametric optimization problems and parametric variational inequalities, Vietnam Journal of Mathematics, 37 (2009), 191-223.
42Bùi Trọng Kiên, J.-C. Yao, Nguyễn Đông Yên, On the solution existence of pseudomonotone variational inequalities, J. Glob Optim., 41 (2008), 135-145.
43N. N. Tam, J.-C. Yao, Nguyễn Đông Yên, Solution methods for pseudomonotone variational inequalities, J. Optim Theory Appl.,  138 (2008), 253-273.
44G. M. Lee, N. N. Tam, Nguyễn Đông Yên, Normal coderivative for multifunctions and implicit function theorems, J. Math. Anal. Appl., 338 (2008), 11-22.
45Nguyễn Đông Yên, J.-C. Yao, Bùi Trọng Kiên, Covering properties at positive-order rates of multifunctions and some related topics, J. Math. Anal. Appl., 338 (2008), 467-478.
46Nguyễn Đông Yên, J. -C. Yao, Vertical tangent vectors to the graph of a multifunction, Taiwanese Journal of Mathematics, 12 (2008), 1293-1302.
47N. M. Nam, Nguyễn Đông Yên, Relationships between approximate Jacobians and coderivatives, J. Nonlinear Convex Anal. 8 (2007), 121-133.
48Gue Myung Lee, Nguyen Nang Tam, Nguyễn Đông Yên, Continuity of the solution map in parametric affine variational inequalities, Set-Valued Anal. 15 (2007), 105 - 123.
49Tran Ninh Hoa, Nguyen Quang Huy, Tạ Duy Phượng, Nguyễn Đông Yên, Unbounded components in the solution sets of strictly quasiconcave vector maximization problems, J. Global Optim. 37 (2007), 1 - 10.
50B. S. Mordukhovich, N. M. Nam, Nguyễn Đông Yên, Frechet subdifferential calculus and optimality conditions in nondifferentiable programming, Optimization 55 (2006), 685 - 708.
51G. M. Lee, N. N. Tam, Nguyễn Đông Yên, Continuity of the solution map in quadratic programs under linear perturbations, J. Optim. Theory Appl. 129 (2006), 415 - 423.
52G. M. Lee, N. N. Tam, Nguyễn Đông Yên, Lower semicontinuity of the KKT point set in quadratic programs under linear perturbations, Vietnam J. Math. 34 (2006), 411 - 422.
53G. M. Lee, N. N. Tam, Nguyễn Đông Yên, On the optimal value function of a linearly perturbed quadratic program, J. Global Optim. 32 (2005), N0 1, 119 - 134.
54Tran Ninh Hoa, Tạ Duy Phượng, Nguyễn Đông Yên, Linear fractional vector optimization problems with many components in the solution sets. J. Ind. Manag. Optim. 1 (2005), 477 - 486.
55T. N. Hoa, Tạ Duy Phượng, Nguyễn Đông Yên, Bicriteria strictly quasiconcave maximization on noncompact sets. Nonlinear Anal. Forum 10 (2005),  137 - 144.
56T. N. Hoa, Tạ Duy Phượng, Nguyễn Đông Yên, On the parametric affine variational inequality approach to linear fractional vector optimization problems,  Vietnam J. Math. 33 (2005), 477 - 489.
57Gue Myung Lee, Nguyen Nang Tam, Nguyễn Đông Yên, Quadratic programming and affine variational inequalities: a qualitative study, Series ``Nonconvex Optimization and its Applications", Vol. 78, XIV + 345 p., Springer Verlag, 2005.
58Nguyen Quang Huy, Nguyễn Đông Yên, Contractibility of the solution sets in strictly quasiconcave vector maximization on noncompact domains, J. Optim. Theory Appl. 124 (2005), 615 - 635.
59Nguyen Quang Huy, Nguyễn Đông Yên, Remarks on a conjecture of J. Benoist. Nonlinear Anal. Forum 9 (2004), 109 - 117.
60V. Jeyakumar, Nguyễn Đông Yên, Solution stability of nonsmooth continuous systems with applications to cone-constrained optimization. SIAM J. Optim. 14 (2004), 1106 - 1127.
61G. M. Lee, N. N. Tam, Nguyễn Đông Yên, 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.
62Nguyễn Đông Yên, 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.
63N. Q. Huy, Tạ Duy Phượng, Nguyễn Đông Yên, 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.
64Nguyễn Đông Yên, 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.
65Nguyễn Đông Yên, Bui Trong Kim, Linear operators satisfying the assumptions of some generalized Lax-Milgram theorems, Acta Math. Vietnam. 26 (2001), N0 3, 407 - 417.
66G. M. Lee, Nguyễn Đông Yên, A result on vector variational inequalities with polyhedral constraint sets. J. Optim. Theory Appl. 109 (2001), 193 - 197.
67Hoàng Xuân Phú, Nguyễn Đông Yên, On the stability of solutions to quadratic programming problems. Math. Program. 89 (2001),  Ser.A, 385 - 394.
68Nguyễn Đông Yên, 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.
69Nguyễn Đông Yên, 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.
70N. N. Tam, Nguyễn Đông Yên, Stability of the Karush-Kuhn-Tucker point set in a general quadratic programming problem. Vietnam J. Math. 28 (2000), No 1, 67 - 79.
71Nguyễn Đông Yên, Tạ Duy Phượng, 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.
72Nguyen Nang Tam, Nguyễn Đông Yên, Continuity properties of the Karush-Kuhn-Tucker point set in quadratic programming problems. Math. Programming 85 (1999), 193 - 206.
73Lee Gue Myung, Kim Do Sang, Byung Soo, Nguyễn Đông Yên, Lee, On a strongly monotone vector variational inequality. Nonlinear Anal. Forum 3 (1998), 151–176.
74Gue Myung Lee, Do Sang Kim, Byung Soo Lee, Nguyễn Đông Yên, Vector variational inequality as a tool for studying vector optimization problems. Nonlinear Analysis: Theory, Methods & Applications 34 (1998), 745 - 765.
75Paolo Cubiotti, Nguyễn Đông Yên, A result related to Ricceri's conjecture on generalized quasi-variational inequalities, Arch. Math. 69 (1997), 507 - 514.
76Nguyễn Đông Yên, Gue Myung Lee, Solution sensitivity of a class of variational inequalities. J. Math. Anal. Appl. 215 (1997), 48 - 55.
77Nguyễn Đông Yên, Stability of the solution set of perturbed nonsmooth inequality systems and application. J. Optim. Theory Appl. 93 (1997), 199 - 225.
78Phạm Hữu Sách, Nguyễn Đông Yên, Convexity criteria for set-valued maps. Set-Valued Analysis 5 (1997), 37 - 45.
79W. Oettli, Nguyễn Đông Yên, An example of a bad quasicomplementarity problem. J. Optim. Theory Appl. 90 (1996), 213 - 215.
80W. Oettli, Nguyễn Đông Yên, Quasicomplementarity problems of R0 type. J. Optim. Theory Appl. 89 (1996), 467 - 474.
81Nguyễn Đông Yên, Lipschitz continuity of solutions of variational inequalities with a parametric polyhedral constraint. Math. Oper. Research 20 (1995), 695 - 708.
82Oettli Werner, Nguyễn Đông Yên, 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.
83Nguyễn Đông Yên, A mean value theorem for semidifferentiable functions. Vietnam J. Math. 23 (1995), 221 - 228.
84Nguyễn Đông Yên, On G-semidifferentiable functions in Euclidean spaces. J. Optim. Theory Appl. 85 (1995), 377 - 392.
85Nguyễn Đông Yên, Holder continuity of solutions to a parametric variational inequality. Appl. Math. Optim. 31 (1995), 245 - 255.
86Nguyễn Đông Yên, On an existence theorem for generalized quasi-variational inequalities. Set-Valued Anal. 3 (1995), 1 - 10.
87Tạ Duy Phượng, Phạm Hữu Sách, Nguyễn Đông Yên, Strict lower semicontinuity of the level sets and invexity of a locally Lipschitz function. J. Optim. Theory Appl. 87 (1995), 579 - 594.
88Nguyễn Đông Yên, On a class of discontinuous vector-valued functions and the associated quasi-varia-tional inequalities. Optimization 30 (1994), 197 - 203.
89G. Mastroeni, M. Pappalardo, Nguyễn Đông Yên, Image of a parametric optimization problem and continuity of the perturbation function. J. Optim. Theory Appl. 81 (1994), 193 - 202.
90Phạm Hữu Sách, Nguyễn Đông Yên, B.D. Craven, Generalized invexity and duality theories with multifunctions. Numer. Funct. Anal. Optim. 15 (1994), 131 - 153.
91Nguyễn Đông Yên, Phạm Hữu Sách, On locally Lipschitz vector-valued invex functions. Bull. Austral. Math. Soc. 47 (1993), 259 - 271.
92Pham Huy Dien, Nguyễn Đông Yên, 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
93B. D. Craven, Phạm Hữu Sách, Nguyễn Đông Yên, Tạ Duy Phượng, A new class of invex multi-functions. In: Nonsmooth Optimization: Methods and Applications (F. Gianessi, ed.), Gordon and Breach Science Publishers, 1992, 52 - 69
94Pham Hong Quang, Nguyễn Đông Yên, New proof for a theorem of F. Giannessi. J. Optim. Theory Appl. 68 (1991), 385 - 387.
95Pham Huy Dien, Nguyễn Đông Yên, On implicit function theorems for set-valued maps and their application to mathematical programming under inclusion constraints. Appl. Math. Optim. 24 (1991), 35 - 54.
96Nguyễn Đông Yên, 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.
97Nguyễn Đông Yên, Trinh Cong Dieu, On local controllability of nondifferentiable discrete-time systems with nonconvex constraints on controls. Optimization 20 (1989), 189 - 199.
98Nguyễn Đông Yên, Implicit function theorems for set-valued maps. Acta Math. Vietnam. 12 (1987), 17 - 28.
99Nguyễn Đông Yên, Local controllability for Lipschitzian discrete-time systems. Acta Math. Vietnam. 11 (1986), 172 - 179.
100Pham Huy Dien, Nguyễn Đông Yên, A remark on the Clarke tangent cone. Acta Math. Vietnam. 10 (1985), 144 - 147.
Tiền ấn phẩm
1IMH2012/12/01, Bùi Trọng Kiên, Nguyễn Đông Yên, J. - C. Yao, Corrigendum on "Covering properties at positive-order rates of multifunctions and some related topics"