Do Van Luu
Associate member
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Email: dvluu AT math.ac.vn
Born in Hung Yen, Vietnam in 1944
Education and academic degrees:
 1968: Graduate
 1980: PhD
 1991: Associate Professor
 2000: Senior Researcher
Positions:
 Associate Professor PhD
 Senior Researcher
Research areas:
 Multiobjective Optimization
 Vector Equilibrium Problems
 Vector Variational Inequalities
 Nonsmooth Analysis
PUBLICATIONS
List of publications in MathSciNet
List of recent publications1  Do Van Luu, Optimality condition for local efficient solutions of vector equilibrium problems via convexificators and applications, Journal of Optimization Theory and Applications, 171 (2016), 643665. 
2  Do Van Luu, Dinh Dieu Hang, On Efficiency Conditions for Nonsmooth Vector Equilibrium Problems with Equilibrium Constraints, Numerical Functional Analysis and Optimization, 2015 (36), 16221642. 
3  Do Van Luu, Dinh Dieu Hang, Efficient solutions and optimality conditions for vector equilibrium problems. Mathematical Methods of Operations Research, 79 (2014), 163  177. 
4  Do Van Luu, Dinh Dieu Hang, On optimality conditions for vector variational inequalities. Journal of Mathematical Analysis and Applications, 412 (2014), 792  804. 
5  Do Van Luu, Necessary and sufficient conditions for efficiency via convexificators. Journal of Optimization Theory and Applications, 160 (2014), 510  526. 
6  Do Van Luu, Convexificators and necessary conditions for efficiency. Optimization, 63 (2014), 321  335. 
7  Do Van Luu, Higherorder efficiency conditions via higherorder tangent cones. Numercial Functional Analysis and Optimization, 35 (2014), 685  707. 
8  Do Van Luu, Necessary conditions for efficiency in terms of the MichelPenot subdifferentials. Optimization, 61 (2012), 1099  1117. 
9  Do Van Luu, Higherorder optimality conditions in nonsmooth coneconstrained multiobjective programming, Nonlinear Functional Analysis and Applications, 15 (2010), 381  393. 
10  Do Van Luu, On constraint qualifications and optimality conditions in locally Lipschitz multiobjective programming problems. Nonlinear Functional Analysis and Applications, 14 (2009), 81  97. 
11  Do Van Luu, Nguyen Manh Hung, On alternative theorems and necessary conditions for efficiency, Optimization, 58 (2009), 4962. 
12  Do Van Luu, Higherorder necessary and sufficient conditions for strict local Pareto minima in terms of Studniarski's derivatives, Optimization 57 (2008), 593 – 605. 
13  Do Van Luu, Pham Trung Kien, On higherorder conditions for strict efficiency, Soochow Journal of Mathematics, 33 (2007), N0 1, 17  31. 
14  Nguyen Manh Hung, Do Van Luu, On necessary conditions for efficiency in directionally differentiable optimization problems, Nonlinear Functional Analysis and Applications, 12 (2007), 439  453. 
15  Do Van Luu, P. X. Trung, Theorems of the alternative for inequalityequality systems and optimality conditions, Nonlinear Functional Analysis and Applications, 11 (2006), 21  35. 
16  Dang Hoa, Do Van Luu, On the stability of local minima in mathematical programming involving coneconstraints, Soochow Journal of Mathematics, 31 (2005), 1  14. 
17  Do Van Luu, Nguyen Manh Hung, Invexity of constraint maps in mathematical programs. Nonlinear Functional Analysis and Applications, 9 (2004), 289  304. 
18  Do Van Luu, L. M. Tung, Bpreinvexity criteria and applications,Indian Journal of Mathematics, 45 (2003), 279  300. 
19  Do Van Luu, Nguyen Xuan Ha, Sufficient conditions for invexity, Bulletin of the Australian Mathematical Society, 68 (2003), 113  125. 
20  Do Van Luu, P. T. Kien, Higherorder optimality conditions for isolated local minima. Nonlinear Functional Analysis and Applications, 8 (2003), 35  48. 
21  Do Van Luu, P. T. Kien, Optimality conditions in terms of directional derivatives. East West Journal of Mathematics, 4 (2002), 119  136. 
22  Do Van Luu, D. Hoa, On the stability of local minima in nonsmooth mathematical programs. East West Journal of Mathematics, 4 (2002), 1  12. 
23  Do Van Luu, Le Minh Tung, Nonsmooth Bpreinvex functions, Acta Mathematica Vietnamica, 27 (2002), N0 1, 33  40. 
24  Nguyen Xuan Ha , Do Van Luu, Invexity of supremum and infimum functions, Bulletin of the Australian Mathematical Society, 65 (2002), 289  306. 
25  Do Van Luu, D. N. Quynh, On the Lagrangian conditions for a nonsmooth minimax, Nonlinear Functional Analysis and Applications, 6 (2001). 157  169. 
26  Do Van Luu, Nguyen Xuan Ha, An invariant property of invex functions and applications, Acta Mathematica Vietnamica, 25 (2000), 181  193. 
27  Do Van Luu, Pham Trung Kien, Sufficient optimality conditions under invexity hypotheses, Vietnam Journal of Mathematics, 28 (2000), 227  236. 
28  B.D Craven, Do Van Luu, Perturbing convex multiobjective programs, Optimization 48 (2000), 391  407. 
29  Do Van Luu, Phan Huy Khai, Convex analysis (in Vietnamese) – Giải tích lồi. NXB Khoa học Kỹ thuật, Hanoi, 2000, 236 trang. 
30  Do Van Luu, The theory of optimality conditions (in Vietnamese) – Lý thuyết các điều kiện tối ưu. NXB Khoa học Kỹ thuật, Hanoi, 1999, 186 trang. 
31  Do Van Luu, Lipschitz analysis (in Vietnamese) – Giải tích Lipschitz. NXB Khoa học Kỹ thuật, Hanoi, 1999, 162 trang. 
32  Do Van Luu, Functional analysis (in Vietnamese)  Giải tích hàm. NXB Khoa học Kỹ thuật, Hanoi, 1999, 278 trang. 
33  Do Van Luu, General topology (in Vietnamese) – Tô pô đại cương. NXB Khoa học Kỹ thuật, Hanoi, 1998, 160 trang. 
34  B. D. Craven, Do Van Luu, Lagrangian conditions for a nonsmooth vectorvalued minimax. Journal of the Australian Mathematical Society (Series A), 65 (1998), 163  175. 
35  B. D. Craven, Do Van Luu, A method for establishing optimality conditions for a nonsmooth vectorvalued problem. Journal of Optimization Theory and Applications, 95 (1997), 295  304. 
36  B. D. Craven, Do Van Luu, Optimization with setfunctions described by functions. Optimization 42 (1997), 39  50. 
37  Bruce Desmond Craven, Do Van Luu, Bevil Milton Glover, Strengthened invex and perturbation. Mathematical Methods of Operations Research, 43 (1996), 319  336. 
38  Do Van Luu, W. Oettli, Higherorder optimality conditions for a minimax. Bulletin of the Australian Mathematical Society, 54 (1996), 509  516. 
39  B. D. Craven, Do Van Luu, Constrained minimax for a vectorvalued function. Optimization 31 (1994), 199  208. 
40  Do Van Luu, On the Rockafellar derivative of marginal functions and applications. Acta Math. Vietnam. 18 (1993), 225  237. 
41  Do Van Luu, W. Oettli, Necessary optimality conditions for nonsmooth minimax problems. Z. Anal. Anwendungen 12 (1993), 709  721. 
42  Do Van Luu, Necessary optimality conditions for optimal control problems governed by hemivariational inequalities. Acta Math. Vietnam. 17 (1992), 135  148. 
43  Do Van Luu, On necessary optimality conditions for discrete minimax problems. Acta Math. Vietnam. 16 (1991), 201  210. 
44  Do Van Luu, Sufficient optimality conditions for discrete minimax problems in the presence of constraints in Banach spaces. Acta Math. Vietnam. 15 (1990), 11  23. 
45  Do Van Luu, Regularity and sufficient optimality conditions for some classes of mathematical programming problems. Acta Math. Vietnam. 13 (1988), 87  95. 
46  Do Van Luu, Optimality conditions for discrete minimax problems in infinite  dimensional spaces. Tạp chí Toán học 16 (1988), 15  22 (in Vietnamese). 
47  Do Van Luu, An approach to sufficient optimality conditions in mathematical programming. In: Essays on Nonlinear Analysis and Optimization Problems, Hanoi, 1987, 60  72. 
48  Do Van Luu, On sufficient optimality conditions under constraints. Tạp chí Toán học 15 (1987), No 1, 3  8 (in Vietnamese). 
49  Do Van Luu, On the firstorder sufficient optimality conditions. Tạp chí Toán học 13 (1985), 13  18, (in Vietnamese). 
50  Do Van Luu, Some applications of the locally Msurjective mapping theorem. Tạp chí Toán học 12 (1984), 27  33 (in Vietnamese). 
51  Do Van Luu, Sufficient and necessary conditions for some general optimization problems. Acta Math. Vietnam. 7 (1982), 37  57. 
52  Do Van Luu, Sufficient and necessary conditions for optimization problems with inequalitytype constraints. Tạp chí Toán học 10 (1982), 8  15 (in Vietnamese). 
53  Do Van Luu, Necessary and sufficient conditions for optimization problems. Ph.D. Thesis, Institute of Mathematics, Hanoi, 1980, 94 p. (in Vietnamese). 
54  Do Van Luu, Sufficient conditions for optimality in Banach spaces. Tạp chí Toán học 8 (1980), 18  24 (in Vietnamese). 
55  Do Van Luu, Sufficient conditions for optimization problems under Lipschitz conditions. Tạp chí Toán học 8 (1980), 27  33 (in Vietnamese). 
56  Do Van Luu, Sufficient conditions for multiple constraint optimization problems and applications. Tạp chí Toán học 6 (1978), 7  18 (in Vietnamese). 
57  Do Van Luu, On the uniqueness of solution of the Cauchy problem for a infinite system of secondorder parabolic equation with increasing coefficients. Tạp chí Toán học 1 (1973), 42  48 (in Vietnamese). 
Highlights
26/02/18, Conference: International conference "Nevanlinna theory and Complex Geometry in Honor of Lê Văn Thiêm's Centenary" 
05/03/18, Conference: CIMPAIMHVAST research school on "Recent developments in stochastic dynamics and stochastic analysis" 
05/03/18, Conference: IMHSEAMS school 2018 "Hyperplane Arrangements" 
19/03/18, Conference: 7th International Conference on HIGH PERFORMANCE SCIENTIFIC COMPUTING Modeling, Simulation and Optimization of Complex Processes 
15/04/18, Conference: Hội nghị Quốc tế về Tổ hợp, Lý thuyết đồ thị và Ứng dụng lần thứ I 
19/04/18, Conference: 16th Workshop on Optimization and Scientific Computing 