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, Second-order necessary efficiency conditions for nonsmooth vector equilibrium problems, Journal of Global Optimization, 70 (2018), pp 437–453, SCI(-E); Scopus.
2Nguyen Lam Tung, Do Van Luu, Optimality conditions for nonsmooth multiobjective optimization problems with general inequality constraints, Journal of Nonlinear Functional Analysis, 2018 (2018), pp. 1-15.
3Do Van Luu, Tran Thi Mai, Optimality conditions for Henig efficient and superefficient solutions of vector equilibrium problems, Journal of Nonlinear Functional Analysis, 2018 (2018), pp. 1-18.
4Do Van Luu, Second-order necessary efficiency conditions for nonsmooth vector equilibrium problems, Journal of Global Optimization, 70 (2018), 437–453, SCI(-E); Scopus.
5Do 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.
6Do 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.
7Do Van Luu, Dinh Dieu Hang, Efficient solutions and optimality conditions for vector equilibrium problems. Mathematical Methods of Operations Research, 79 (2014), 163 - 177.
8Do Van Luu, Dinh Dieu Hang, On optimality conditions for vector variational inequalities. Journal of Mathematical Analysis and Applications, 412 (2014), 792 - 804.
9Do Van Luu, Necessary and sufficient conditions for efficiency via convexificators.  Journal of Optimization Theory and Applications, 160 (2014), 510 - 526.
10Do Van Luu, Convexificators and necessary conditions for efficiency. Optimization, 63 (2014), 321 - 335.
11Do Van Luu, Higher-order efficiency conditions via higher-order tangent cones. Numercial Functional Analysis and Optimization, 35 (2014), 685 - 707.
12Do Van Luu, Necessary conditions for efficiency in terms of the Michel-Penot subdifferentials. Optimization,  61 (2012),  1099 - 1117.
13Do Van Luu, Higher-order optimality conditions in nonsmooth cone-constrained multiobjective programming, Nonlinear Functional Analysis and Applications, 15 (2010), 381 - 393.
14Do Van Luu, On constraint qualifications and optimality conditions in locally Lipschitz multiobjective programming problems. Nonlinear Functional Analysis and Applications, 14 (2009), 81 - 97.
15Do Van Luu, Nguyen Manh Hung, On alternative theorems and necessary conditions for efficiency, Optimization, 58 (2009), 49-62.
16Do Van Luu, Higher-order necessary and sufficient conditions for strict local Pareto minima in terms of Studniarski's derivatives, Optimization 57 (2008), 593 – 605.
17Do Van Luu, Pham Trung Kien, On higher-order conditions for strict efficiency, Soochow Journal of Mathematics, 33 (2007),  N0 1, 17 - 31.
18Nguyen Manh Hung, Do Van Luu, On necessary conditions for efficiency in directionally differentiable optimization problems, Nonlinear Functional Analysis and Applications, 12 (2007), 439 - 453.
19Do 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.
20Dang Hoa, Do Van Luu, On the stability of local minima in mathematical programming involving cone-constraints, Soochow Journal of Mathematics, 31 (2005), 1 - 14.
21Do Van Luu, Nguyen Manh Hung, Invexity of constraint maps in mathematical programs. Nonlinear Functional Analysis and Applications, 9 (2004), 289 - 304.
22Do Van Luu, L. M. Tung, B-preinvexity criteria and applications,Indian Journal of Mathematics, 45 (2003), 279 - 300.
23Do Van Luu, Nguyen Xuan Ha, Sufficient conditions for invexity, Bulletin of the Australian Mathematical Society, 68 (2003), 113 - 125.
24Do Van Luu, P. T. Kien, Higher-order optimality conditions for isolated local minima. Nonlinear Functional Analysis and Applications, 8 (2003), 35 - 48.
25Do Van Luu, P. T. Kien, Optimality conditions in terms of directional derivatives. East West Journal of Mathematics, 4 (2002), 119 - 136.
26Do Van Luu, D. Hoa, On the stability of local minima in nonsmooth mathematical programs. East West Journal of Mathematics, 4 (2002), 1 - 12.
27Do Van Luu, Le Minh Tung, Nonsmooth B-preinvex functionsActa Mathematica Vietnamica, 27 (2002), N0 1, 33 - 40.
28Nguyen Xuan Ha , Do Van Luu,  Invexity of supremum and infimum functions, Bulletin of the Australian Mathematical Society, 65 (2002), 289 - 306.
29Do Van Luu, D. N. Quynh, On the Lagrangian conditions for a nonsmooth minimax, Nonlinear Functional Analysis and Applications, 6 (2001). 157 - 169.
30Do Van Luu, Nguyen Xuan Ha, An invariant property of invex functions and applications, Acta Mathematica Vietnamica, 25 (2000), 181 - 193.
31Do Van Luu, Pham Trung Kien, Sufficient optimality conditions under invexity hypotheses, Vietnam Journal of Mathematics, 28 (2000), 227 - 236.
32B.D Craven, Do Van Luu, Perturbing convex multiobjective programs, Optimization 48 (2000), 391 - 407.
33Do Van Luu, Phan Huy Khai, Convex analysis (in Vietnamese) – Giải tích lồi. NXB Khoa học Kỹ thuật, Hanoi, 2000, 236 trang.
34Do 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.
35Do Van Luu, Lipschitz analysis (in Vietnamese) – Giải tích Lipschitz. NXB Khoa học Kỹ thuật, Hanoi, 1999, 162 trang.
36Do Van Luu, Functional analysis (in Vietnamese) - Giải tích hàm. NXB Khoa học Kỹ thuật, Hanoi, 1999, 278 trang.
37Do Van Luu, General topology (in Vietnamese) – Tô pô đại cương. NXB Khoa học Kỹ thuật, Hanoi, 1998, 160 trang.
38B. 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.
39B. 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.
40B. D. Craven, Do Van Luu, Optimization with set-functions described by functions. Optimization 42 (1997), 39 - 50.
41Bruce Desmond Craven, Do Van Luu, Bevil Milton Glover, Strengthened invex and perturbation. Mathematical Methods of Operations Research, 43 (1996), 319 - 336.
42Do Van Luu, W. Oettli, Higher-order optimality conditions for a minimax. Bulletin of the Australian Mathematical Society, 54 (1996), 509 - 516.
43B. D. Craven, Do Van Luu, Constrained minimax for a vector-valued function. Optimization 31 (1994), 199 - 208.
44Do Van Luu, On the Rockafellar derivative of marginal functions and applications. Acta Math. Vietnam. 18 (1993), 225 - 237.
45Do Van Luu, W. Oettli, Necessary optimality conditions for nonsmooth minimax problems. Z. Anal. Anwendungen 12 (1993), 709 - 721.
46Do Van Luu, Necessary optimality conditions for optimal control problems governed by hemivariational inequalities. Acta Math. Vietnam. 17 (1992), 135 - 148.
47Do Van Luu, On necessary optimality conditions for discrete minimax problems. Acta Math. Vietnam. 16 (1991), 201 - 210.
48Do Van Luu, Sufficient optimality conditions for discrete minimax problems in the presence of constraints in Banach spaces. Acta Math. Vietnam. 15 (1990), 11 - 23.
49Do Van Luu, Regularity and sufficient optimality conditions for some classes of mathematical programming problems. Acta Math. Vietnam. 13 (1988), 87 - 95.
50Do Van Luu, Optimality conditions for discrete minimax problems in infinite - dimensional spaces. Tạp chí Toán học 16 (1988), 15 - 22 (in Vietnamese).
51Do Van Luu, An approach to sufficient optimality conditions in mathematical programming. In: Essays on Nonlinear Analysis and Optimization Problems, Hanoi, 1987, 60 - 72.
52Do Van Luu, On sufficient optimality conditions under constraints. Tạp chí Toán học 15 (1987), No 1, 3 - 8 (in Vietnamese).
53Do Van Luu, On the first-order sufficient optimality conditions. Tạp chí Toán học 13 (1985), 13 - 18, (in Vietnamese).
54Do Van Luu, Some applications of the locally M-surjective mapping theorem. Tạp chí Toán học 12 (1984), 27 - 33 (in Vietnamese).
55Do Van Luu, Sufficient and necessary conditions for some general optimization problems. Acta Math. Vietnam. 7 (1982), 37 - 57.
56Do Van Luu, Sufficient and necessary conditions for optimization problems with inequality-type constraints. Tạp chí Toán học 10 (1982), 8 - 15 (in Vietnamese).
57Do Van Luu, Necessary and sufficient conditions for optimization problems. Ph.D. Thesis, Institute of Mathematics, Hanoi, 1980, 94 p. (in Vietnamese).
58Do Van Luu, Sufficient conditions for optimality in Banach spaces. Tạp chí Toán học 8 (1980), 18 - 24 (in Vietnamese).
59Do Van Luu, Sufficient conditions for optimization problems under Lipschitz conditions. Tạp chí Toán học 8 (1980), 27 - 33 (in Vietnamese).
60Do Van Luu, Sufficient conditions for multiple constraint optimization problems and applications. Tạp chí Toán học 6 (1978), 7 - 18 (in Vietnamese).
61Do 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).