Do Van Luu


Associate member

Cộng tác viên
Research interests: Điều kiện tối ưu và ổn định nghiệm của bài toán tối ưu đa mục tiêu không trơn và bài toán cân bằng vectơ không trơn


Address
Office:
Tel:
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 publications
1Do Van Luu, Optimality condition for local efficient solutions of vector equilibrium problems via convexificators and applications, Journal of Optimization Theory and Applications, 171 (2016), 643-665.
2Do Van Luu, Dinh Dieu Hang, On Efficiency Conditions for Nonsmooth Vector Equilibrium Problems with Equilibrium Constraints, Numerical Functional Analysis and Optimization, 2015 (36), 1622-1642.
3Do Van Luu, Dinh Dieu Hang, Efficient solutions and optimality conditions for vector equilibrium problems. Mathematical Methods of Operations Research, 79 (2014), 163 - 177.
4Do Van Luu, Dinh Dieu Hang, On optimality conditions for vector variational inequalities. Journal of Mathematical Analysis and Applications, 412 (2014), 792 - 804.
5Do Van Luu, Necessary and sufficient conditions for efficiency via convexificators.  Journal of Optimization Theory and Applications, 160 (2014), 510 - 526.
6Do Van Luu, Convexificators and necessary conditions for efficiency. Optimization, 63 (2014), 321 - 335.
7Do Van Luu, Higher-order efficiency conditions via higher-order tangent cones. Numercial Functional Analysis and Optimization, 35 (2014), 685 - 707.
8Do Van Luu, Necessary conditions for efficiency in terms of the Michel-Penot subdifferentials. Optimization,  61 (2012),  1099 - 1117.
9Do Van Luu, Higher-order optimality conditions in nonsmooth cone-constrained multiobjective programming, Nonlinear Functional Analysis and Applications, 15 (2010), 381 - 393.
10Do Van Luu, On constraint qualifications and optimality conditions in locally Lipschitz multiobjective programming problems. Nonlinear Functional Analysis and Applications, 14 (2009), 81 - 97.
11Do Van Luu, Nguyen Manh Hung, On alternative theorems and necessary conditions for efficiency, Optimization, 58 (2009), 49-62.
12Do Van Luu, Higher-order necessary and sufficient conditions for strict local Pareto minima in terms of Studniarski's derivatives, Optimization 57 (2008), 593 – 605.
13Do Van Luu, Pham Trung Kien, On higher-order conditions for strict efficiency, Soochow Journal of Mathematics, 33 (2007),  N0 1, 17 - 31.
14Nguyen Manh Hung, Do Van Luu, On necessary conditions for efficiency in directionally differentiable optimization problems, Nonlinear Functional Analysis and Applications, 12 (2007), 439 - 453.
15Do Van Luu, P. X. Trung, Theorems of the alternative for inequality-equality systems and optimality conditions, Nonlinear Functional Analysis and Applications, 11 (2006), 21 - 35.
16Dang Hoa, Do Van Luu, On the stability of local minima in mathematical programming involving cone-constraints, Soochow Journal of Mathematics, 31 (2005), 1 - 14.
17Do Van Luu, Nguyen Manh Hung, Invexity of constraint maps in mathematical programs. Nonlinear Functional Analysis and Applications, 9 (2004), 289 - 304.
18Do Van Luu, L. M. Tung, B-preinvexity criteria and applications,Indian Journal of Mathematics, 45 (2003), 279 - 300.
19Do Van Luu, Nguyen Xuan Ha, Sufficient conditions for invexity, Bulletin of the Australian Mathematical Society, 68 (2003), 113 - 125.
20Do Van Luu, P. T. Kien, Higher-order optimality conditions for isolated local minima. Nonlinear Functional Analysis and Applications, 8 (2003), 35 - 48.
21Do Van Luu, P. T. Kien, Optimality conditions in terms of directional derivatives. East West Journal of Mathematics, 4 (2002), 119 - 136.
22Do Van Luu, D. Hoa, On the stability of local minima in nonsmooth mathematical programs. East West Journal of Mathematics, 4 (2002), 1 - 12.
23Do Van Luu, Le Minh Tung, Nonsmooth B-preinvex functionsActa Mathematica Vietnamica, 27 (2002), N0 1, 33 - 40.
24Nguyen Xuan Ha , Do Van Luu,  Invexity of supremum and infimum functions, Bulletin of the Australian Mathematical Society, 65 (2002), 289 - 306.
25Do Van Luu, D. N. Quynh, On the Lagrangian conditions for a nonsmooth minimax, Nonlinear Functional Analysis and Applications, 6 (2001). 157 - 169.
26Do Van Luu, Nguyen Xuan Ha, An invariant property of invex functions and applications, Acta Mathematica Vietnamica, 25 (2000), 181 - 193.
27Do Van Luu, Pham Trung Kien, Sufficient optimality conditions under invexity hypotheses, Vietnam Journal of Mathematics, 28 (2000), 227 - 236.
28B.D Craven, Do Van Luu, Perturbing convex multiobjective programs, Optimization 48 (2000), 391 - 407.
29Do Van Luu, Phan Huy Khai, Convex analysis (in Vietnamese) – Giải tích lồi. NXB Khoa học Kỹ thuật, Hanoi, 2000, 236 trang.
30Do 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.
31Do Van Luu, Lipschitz analysis (in Vietnamese) – Giải tích Lipschitz. NXB Khoa học Kỹ thuật, Hanoi, 1999, 162 trang.
32Do Van Luu, Functional analysis (in Vietnamese) - Giải tích hàm. NXB Khoa học Kỹ thuật, Hanoi, 1999, 278 trang.
33Do Van Luu, General topology (in Vietnamese) – Tô pô đại cương. NXB Khoa học Kỹ thuật, Hanoi, 1998, 160 trang.
34B. D. Craven, Do Van Luu, Lagrangian conditions for a nonsmooth vector-valued minimax. Journal of the Australian Mathematical Society (Series A), 65 (1998), 163 - 175.
35B. D. Craven, Do Van Luu, A method for establishing optimality conditions for a nonsmooth vector-valued problem. Journal of Optimization Theory and Applications, 95 (1997), 295 - 304.
36B. D. Craven, Do Van Luu, Optimization with set-functions described by functions. Optimization 42 (1997), 39 - 50.
37Bruce Desmond Craven, Do Van Luu, Bevil Milton Glover, Strengthened invex and perturbation. Mathematical Methods of Operations Research, 43 (1996), 319 - 336.
38Do Van Luu, W. Oettli, Higher-order optimality conditions for a minimax. Bulletin of the Australian Mathematical Society, 54 (1996), 509 - 516.
39B. D. Craven, Do Van Luu, Constrained minimax for a vector-valued function. Optimization 31 (1994), 199 - 208.
40Do Van Luu, On the Rockafellar derivative of marginal functions and applications. Acta Math. Vietnam. 18 (1993), 225 - 237.
41Do Van Luu, W. Oettli, Necessary optimality conditions for nonsmooth minimax problems. Z. Anal. Anwendungen 12 (1993), 709 - 721.
42Do Van Luu, Necessary optimality conditions for optimal control problems governed by hemivariational inequalities. Acta Math. Vietnam. 17 (1992), 135 - 148.
43Do Van Luu, On necessary optimality conditions for discrete minimax problems. Acta Math. Vietnam. 16 (1991), 201 - 210.
44Do Van Luu, Sufficient optimality conditions for discrete minimax problems in the presence of constraints in Banach spaces. Acta Math. Vietnam. 15 (1990), 11 - 23.
45Do Van Luu, Regularity and sufficient optimality conditions for some classes of mathematical programming problems. Acta Math. Vietnam. 13 (1988), 87 - 95.
46Do Van Luu, Optimality conditions for discrete minimax problems in infinite - dimensional spaces. Tạp chí Toán học 16 (1988), 15 - 22 (in Vietnamese).
47Do Van Luu, An approach to sufficient optimality conditions in mathematical programming. In: Essays on Nonlinear Analysis and Optimization Problems, Hanoi, 1987, 60 - 72.
48Do Van Luu, On sufficient optimality conditions under constraints. Tạp chí Toán học 15 (1987), No 1, 3 - 8 (in Vietnamese).
49Do Van Luu, On the first-order sufficient optimality conditions. Tạp chí Toán học 13 (1985), 13 - 18, (in Vietnamese).
50Do Van Luu, Some applications of the locally M-surjective mapping theorem. Tạp chí Toán học 12 (1984), 27 - 33 (in Vietnamese).
51Do Van Luu, Sufficient and necessary conditions for some general optimization problems. Acta Math. Vietnam. 7 (1982), 37 - 57.
52Do Van Luu, Sufficient and necessary conditions for optimization problems with inequality-type constraints. Tạp chí Toán học 10 (1982), 8 - 15 (in Vietnamese).
53Do Van Luu, Necessary and sufficient conditions for optimization problems. Ph.D. Thesis, Institute of Mathematics, Hanoi, 1980, 94 p. (in Vietnamese).
54Do Van Luu, Sufficient conditions for optimality in Banach spaces. Tạp chí Toán học 8 (1980), 18 - 24 (in Vietnamese).
55Do Van Luu, Sufficient conditions for optimization problems under Lipschitz conditions. Tạp chí Toán học 8 (1980), 27 - 33 (in Vietnamese).
56Do Van Luu, Sufficient conditions for multiple constraint optimization problems and applications. Tạp chí Toán học 6 (1978), 7 - 18 (in Vietnamese).
57Do Van Luu, On the uniqueness of solution of the Cauchy problem for a infinite system of second-order parabolic equation with increasing coefficients. Tạp chí Toán học 1 (1973), 42 - 48 (in Vietnamese).