Do Van Luu
Associate member
Cộng tác viên
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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, Nguyen Lam Tung, Nonsmooth multiobjective fractional programming and second-order optimality conditions for weak efficiency, Journal of Convex Analysis 31 (2024), No. 3, 947--958, |
2 | Tran Van Su , Do Van Luu, Second-order optimality conditions for strict Pareto minima and weak efficiency for nonsmooth constrained vector equilibrium problems, Numerical Functional Analysis and Optimization, 43 (2023), 1732-1759, (SCI-E, Scopus). |
3 | Do Van Luu, Second-order optimality conditions for nonsmooth nultiobjective optimization problems, Applied Set-Valued Analysis and Optimization, 4 (2022), 41-54. |
4 | Do Van Luu, Pham Thi Linh, Optimality and duality for weak quasi-efficiency of multiobjective fractional problems via convexificarors, Minimax Theory and its Applications, 7 (2022),57-78, (ESCI). |
5 | Tran Van Su, Do Van Luu, Higher-order efficiency conditions for constrained vector equilibrium problems, Optimization 71 (2022), 2613-2642, (SCI-E, Scopus. |
6 | Tran Van Su, Do Van Luu, Higher-order Karush-Kuhn-Tucker optimality condit for Borwein properly efficient solutions of multiobjectine semi-infinite programming, Optimization 71 (2022), 1749-1775, (SCI-E, Scopus). |
7 | Do Van Luu, Tran Van Su, Nguyen Cong Dieu, Second-order efficiency conditions for vector equilibrium problems with constraints via contingent epiderivatives, Journal of Convex Analysis 28 (2021), 3, 903--926, SCI-E, Scopus. |
8 | Do Van Luu, Necessary efficiency conditions for vector equilibrium problems with general inequality constraints via convexificators, Bulletin of the Brazilian Mathematical Society, 50 (2019),685-704, SCI(-E), Scopus. |
9 | Do Van Luu, Tran Thi Mai, On optimality conditions for Henig efficiency and superefficiency in vector equilibrium problems, Numerical Functional Analysis and Optimization, 39 (2018), 1833-1854, SCI(-E), Scopus. |
10 | Do Van Luu, Tran Thi Mai, Optimality and duality in constrained interval-valued optimization, 4OR, 116 (2018), pp 311–337, SCI(-E), Scopus. |
11 | Do Van Luu, Second-order necessary efficiency conditions for nonsmooth vector equilibrium problems, Journal of Global Optimization, 70 (2018), pp 437–453, SCI(-E); Scopus. |
12 | Nguyen 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. |
13 | Do Van Luu, Tran Thi Mai, Optimality conditions for Henig efficient and superefficient solutions of vector equilibrium problems, Journal of Nonlinear Functional Analysis, 2018 (2018), Article ID 18, pp. 1-18. |
14 | 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), 643-665,SCI(-E); Scopus. |
15 | Do Van Luu, Dinh Dieu Hang, On Efficiency Conditions for Nonsmooth Vector Equilibrium Problems with Equilibrium Constraints, Numerical Functional Analysis and Optimization, 36 (2015), 1622-1642, SCI(-E); Scopus. |
16 | Do Van Luu, Dinh Dieu Hang, Efficient solutions and optimality conditions for vector equilibrium problems. Mathematical Methods of Operations Research, 79 (2014), 163 - 177, SCI(-E), Scopus. |
17 | Do Van Luu, Dinh Dieu Hang, On optimality conditions for vector variational inequalities. Journal of Mathematical Analysis and Applications, 412 (2014), 792 - 804, SCI(-E), Scopus. |
18 | Do Van Luu, Necessary and sufficient conditions for efficiency via convexificators. Journal of Optimization Theory and Applications, 160 (2014), 510 - 526, SCI(-E), Scopus. |
19 | Do Van Luu, Convexificators and necessary conditions for efficiency. Optimization, 63 (2014), 321 - 335, SCI(-E), Scopus. |
20 | Do Van Luu, Higher-order efficiency conditions via higher-order tangent cones. Numercial Functional Analysis and Optimization, 35 (2014), 685 - 707, SCI(-E), Scopus. |
21 | Do Van Luu, Necessary conditions for efficiency in terms of the Michel-Penot subdifferentials. Optimization, Â 61 (2012), Â 1099 - 1117, SCI(-E); Scopus. |
22 | Do Van Luu, Higher-order optimality conditions in nonsmooth cone-constrained multiobjective programming, Nonlinear Functional Analysis and Applications, 15 (2010), 381 - 393, Scopus. |
23 | Do Van Luu, On constraint qualifications and optimality conditions in locally Lipschitz multiobjective programming problems. Nonlinear Functional Analysis and Applications, 14 (2009), 81 - 97. |
24 | Do Van Luu, Nguyen Manh Hung, On alternative theorems and necessary conditions for efficiency, Optimization, 58 (2009), 49-62. |
25 | Do Van Luu, Higher-order necessary and sufficient conditions for strict local Pareto minima in terms of Studniarski's derivatives, Optimization 57 (2008), 593 – 605. |
26 | Do Van Luu, Pham Trung Kien, On higher-order conditions for strict efficiency, Soochow Journal of Mathematics, 33 (2007), N0 1, 17 - 31. |
27 | 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. |
28 | Do 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. |
29 | Dang Hoa, Do Van Luu, On the stability of local minima in mathematical programming involving cone-constraints, Soochow Journal of Mathematics, 31 (2005), 1 - 14. |
30 | Do Van Luu, Nguyen Manh Hung, Invexity of constraint maps in mathematical programs. Nonlinear Functional Analysis and Applications, 9 (2004), 289 - 304. |
31 | Do Van Luu, L. M. Tung, B-preinvexity criteria and applications,Indian Journal of Mathematics, 45 (2003), 279 - 300. |
32 | Do Van Luu, Nguyen Xuan Ha, Sufficient conditions for invexity, Bulletin of the Australian Mathematical Society, 68 (2003), 113 - 125. |
33 | Do Van Luu, P. T. Kien, Higher-order optimality conditions for isolated local minima. Nonlinear Functional Analysis and Applications, 8 (2003), 35 - 48. |
34 | Do Van Luu, P. T. Kien, Optimality conditions in terms of directional derivatives. East West Journal of Mathematics, 4 (2002), 119 - 136. |
35 | Do Van Luu, D. Hoa, On the stability of local minima in nonsmooth mathematical programs. East West Journal of Mathematics, 4 (2002), 1 - 12. |
36 | Do Van Luu, Le Minh Tung, Nonsmooth B-preinvex functions, Acta Mathematica Vietnamica, 27 (2002), N0 1, 33 - 40. |
37 | Nguyen Xuan Ha , Do Van Luu, Invexity of supremum and infimum functions, Bulletin of the Australian Mathematical Society, 65 (2002), 289 - 306. |
38 | Do Van Luu, D. N. Quynh, On the Lagrangian conditions for a nonsmooth minimax, Nonlinear Functional Analysis and Applications, 6 (2001). 157 - 169. |
39 | Do Van Luu, Nguyen Xuan Ha, An invariant property of invex functions and applications, Acta Mathematica Vietnamica, 25 (2000), 181 - 193. |
40 | Do Van Luu, Pham Trung Kien, Sufficient optimality conditions under invexity hypotheses, Vietnam Journal of Mathematics, 28 (2000), 227 - 236. |
41 | B.D Craven, Do Van Luu, Perturbing convex multiobjective programs, Optimization 48 (2000), 391 - 407. |
42 | Do Van Luu, Phan Huy Khai, Convex analysis (in Vietnamese) – Giải tích lồi. NXB Khoa học Kỹ thuật, Hanoi, 2000, 236 trang. |
43 | 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. |
44 | Do Van Luu, Lipschitz analysis (in Vietnamese) – Giải tích Lipschitz. NXB Khoa học Kỹ thuật, Hanoi, 1999, 162 trang. |
45 | Do Van Luu, Functional analysis (in Vietnamese) - Giải tích hàm. NXB Khoa học Kỹ thuật, Hanoi, 1999, 278 trang. |
46 | Do Van Luu, General topology (in Vietnamese) – Tô pô đại cương. NXB Khoa học Kỹ thuật, Hanoi, 1998, 160 trang. |
47 | B. 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. |
48 | B. 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. |
49 | B. D. Craven, Do Van Luu, Optimization with set-functions described by functions. Optimization 42 (1997), 39 - 50. |
50 | Bruce Desmond Craven, Do Van Luu, Bevil Milton Glover, Strengthened invex and perturbation. Mathematical Methods of Operations Research, 43 (1996), 319 - 336. |
51 | Do Van Luu, W. Oettli, Higher-order optimality conditions for a minimax. Bulletin of the Australian Mathematical Society, 54 (1996), 509 - 516. |
52 | B. D. Craven, Do Van Luu, Constrained minimax for a vector-valued function. Optimization 31 (1994), 199 - 208. |
53 | Do Van Luu, On the Rockafellar derivative of marginal functions and applications. Acta Math. Vietnam. 18 (1993), 225 - 237. |
54 | Do Van Luu, W. Oettli, Necessary optimality conditions for nonsmooth minimax problems. Z. Anal. Anwendungen 12 (1993), 709 - 721. |
55 | Do Van Luu, Necessary optimality conditions for optimal control problems governed by hemivariational inequalities. Acta Math. Vietnam. 17 (1992), 135 - 148. |
56 | Do Van Luu, On necessary optimality conditions for discrete minimax problems. Acta Math. Vietnam. 16 (1991), 201 - 210. |
57 | 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. |
58 | Do Van Luu, Regularity and sufficient optimality conditions for some classes of mathematical programming problems. Acta Math. Vietnam. 13 (1988), 87 - 95. |
59 | Do Van Luu, Optimality conditions for discrete minimax problems in infinite - dimensional spaces. Tạp chí Toán học 16 (1988), 15 - 22 (in Vietnamese). |
60 | Do Van Luu, An approach to sufficient optimality conditions in mathematical programming. In: Essays on Nonlinear Analysis and Optimization Problems, Hanoi, 1987, 60 - 72. |
61 | Do Van Luu, On sufficient optimality conditions under constraints. Tạp chí Toán học 15 (1987), No 1, 3 - 8 (in Vietnamese). |
62 | Do Van Luu, On the first-order sufficient optimality conditions. Tạp chí Toán học 13 (1985), 13 - 18, (in Vietnamese). |
63 | Do Van Luu, Some applications of the locally M-surjective mapping theorem. Tạp chí Toán học 12 (1984), 27 - 33 (in Vietnamese). |
64 | Do Van Luu, Sufficient and necessary conditions for some general optimization problems. Acta Math. Vietnam. 7 (1982), 37 - 57. |
65 | Do Van Luu, Sufficient and necessary conditions for optimization problems with inequality-type constraints. Tạp chí Toán học 10 (1982), 8 - 15 (in Vietnamese). |
66 | Do Van Luu, Necessary and sufficient conditions for optimization problems. Ph.D. Thesis, Institute of Mathematics, Hanoi, 1980, 94 p. (in Vietnamese). |
67 | Do Van Luu, Sufficient conditions for optimality in Banach spaces. Tạp chí Toán học 8 (1980), 18 - 24 (in Vietnamese). |
68 | Do Van Luu, Sufficient conditions for optimization problems under Lipschitz conditions. Tạp chí Toán học 8 (1980), 27 - 33 (in Vietnamese). |
69 | Do Van Luu, Sufficient conditions for multiple constraint optimization problems and applications. Tạp chí Toán học 6 (1978), 7 - 18 (in Vietnamese). |
70 | Do 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). |
Highlights
04/12/24, Conference: International workshop on “Commutative Algebra and related Combinatoric structures” |
06/01/25, Conference: The 3rd Vietnam - Korea joint workshop on selected topics in mathematics |