Do Van Luu | Thang Long Journal of Science: Mathematics and Mathematical Sciences

◆ Research interests:

- Optimization Theory and Nonsmooth Analysis|
- Vector equilibrium problems and vector variational inequality problems - Generalized Convex Functions
- Nonlinear Analysis

◆ Education

- Since 2012 up to now: Thang Long Institute of Mathematics and Applied Sciences, Thang Long University
- Since 1990 to 2001: Deputy Director of the Hanoi Institute of Mathematics - From 1993 to 1995: Head of Department of Functional Analysis
- Since 1991: Associate Professor in Mathematics
- From 1990 up to 2011: Senior Researcher, Hanoi Institute of Mathematics. - From 1969 to 2011: Researcher, Hanoi Institute of Mathematics

◆ Hounours and Awards

- DAAD fellowship, Germany, April - June 1992;
- Research Fellows, University of Melbourne, Australia, 1993 & 1996;
- Senior Associate, the Abdus Salam International Center for Theoretical Physics, Trieste, Italy, May - July 2001.

◆ Publications

1. Do Van Luu, Necessary efficiency conditions for vector equilibrium problems with general inequality constraints via convexificators, Bulletin of the Brazilian Mathematical Society, New Series, (2018) Online DOI: 10.1007/s00574-018-00124-x (SCIE).
2. Do Van Luu and Tran Thi Mai, On optimality conditions for Henig efficiency and superefficiency in vector equilibrium problems, Numerical Functional Analysis and Optimization, (2018) Online DOI: 10.1080/ 01630563.2018. 1501580 (SCIE).
3. Tran Thi Mai and Do Van Luu, Optimality conditions for weakly efficient solutions of vector variational inequalities via convexificators, Journal of Nonlinear and Variational Analysis, 2 (2018), No 3, 379-389.
4. Do Van Luu and Tran Thi Mai, Optimality and duality in constrained interval-valued optimization, 40R – A Quarterly Journal of Operations Research, 16 (2018), 311-337 (SCIE).
5. Do Van Luu and Tran Van Su, Contingent derivatives and necessary efficiency conditions for vector equilibrium problems with constraints, RAIRO – Operations Research, 52 (2018), 543-559 (SCIE).
6. Do Van Luu, Second-order necessary efficiency conditions for nonsmooth vector equilibrium problems, Journal of Global Optimization,70 (2018), 437-453 (SCI).
7. Nguyen Lam Tung and Do Van Luu, Optimality conditions for nonsmooth multiobjective optimization problems with general inequality constraint, Journal of Nonlinear Functional Analysis, 2018 (2018), ID 2, 1-15.
8. Do Van Luu, Optimality conditions for local efficient solutions of vector equilibrium problems via convexificators and applications, Journal of Optimization Theory and Applications, 171(2016), 643-665 (SCI).
9. Do Van Luu and Dinh Dieu Hang, On efficiency conditions for nonsmooth vector equilibrium problems with equilibrium constraints, Numerical Functional Analysis and Optimization, 36 (2015), 1622-1642 (SCIE).
10. Do Van Luu and Dinh Dieu Hang, Efficient solutions and optimality conditions for vector equilibrium problems, Mathematical Methods of Operations Research, 79(2014), 163-177 (SCIE).
11. Do Van Luu and Dinh Dieu Hang, On optimality conditions for vector variational inequalities, Journal of Mathematical Analysis and Applications, 412 (2014), 792-804 (SCI).
12. Do Van Luu, Necessary and sufficient conditions for efficiency via convexificators, Journal of Optimization Theory and Applications, 160 (2014), 510-526 (SCI).
13. Do Van Luu, Convexificators and necessary conditions for efficiency, Optimization 63 (2014), 321-335 (SCIE).
14. Do Van Luu, Higher-order efficiency conditions via higher-order tangent cones, Numerical Functional Analysis and Optimization 35(2014), No 1, 68-84 (SCIE).
15. Do Van Luu, Necessary conditions for efficiency in terms of the Michel-Penot subdifferentials, Optimization 61(2012), 1099-1117 (SCIE). 16. Do Van Luu, Higher-order optimality conditions in nonsmooth cone-constrained multiobjective programming, Nonlinear Functional Analysis and Applications 15(2010),381-393.
17. Do Van Luu and Nguyen Duc Lang, Lectures of Functional Analysis, Publishing House of Hanoi State University, 2010, 194p.
18. Do Van Luu, On constraint qualifications and optimality conditions in locally Lipschitz multiobjective programming problems, Nonlinear Functional Analysis and Applications 14(2009), 81-97.
19. Do Van Luu and Nguyen Manh Hung, On alternative theorems and necessary conditions for efficiency, Optimization 58(2009), 49-62 (SCIE). 20. 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 (SCIE).
21. Do Van Luu and Pham Trung Kien, On higher-order conditions for strict efficiency, Soochow Journal of Mathematics 33(2007), 17-31.
22. Nguyen Manh Hung and Do Van Luu, On necessary conditions for efficiency in directionally differentiable optimization problems, Nonlinear Functional Analysis and Applications, 12(2007), 439-453.
23. Do Van Luu and Pham Xuan Trung, Theorems of the alternative for inequality-equality systems and optimality conditions, Nonlinear Functional Analysis and Applications, 11(2006), 21-35.
24. Dang Hoa and Do Van Luu, On the stability of local minima in mathemati- cal programming involving cone-constraints, Soochow Journal of Mathemat- ics 31(2005), 273-289.
25. Do Van Luu and Nguyen Manh Hung, Invexity of constraint maps in mathematical programs, Nonlinear Functional Analysis and Applications, 9(2004), 289-304.
26. Do Van Luu and Nguyen Van Tien, Optimality and Wolfe duality in multiobjective programming problems involving cone-connected functions, Journal of Science and Technique, No 104 (III-2003), 5-17.
27. Do Van Luu and Le Minh Tung, B-preinvexity criteria and applications, Indian Journal of Mathematics, 45 (2003), 279-300.
28. Nguyen Xuan Ha and Do Van Luu, Sufficient conditions for invexity, Bulletin of the Australian Mathematical Society, 68(2003), 113-125 (SCIE). 29. Do Van Luu and Pham Trung Kien, Higher-order optimality conditions for isolated local minima, Nonlinear Functional Analysis and Applications, 8(2003), 35-48.
30. Pham Trung Kien and Do Van Luu, Optimality conditions in terms of directional derivatives, East-West Journal of Math. 4(2002), 119-136.
31. Dang Hoa and Do Van Luu, On the stability of local minima in nonsmooth mathematical programs, East-West Journal of Mathematics 4(2002), 1-12. 32. Nguyen Xuan Ha and Do Van Luu, Invexity of supremum and infimum functions, Bulletin of the Australian Mathematical Society, 65(2002), 289-306 (SCIE).
33. Do Van Luu and Le Minh Tung, Nonsmooth B-preinvex functions, Acta Mathematica Vietnamica 27(2002), 33-40.
34. Do Van Luu and Dao Ngoc Quynh, On the Lagrangian conditions for a nonsmooth minimax, Nonlinear Functional Analysis and Applications, 6(2001), 157-169.
35. Do Van Luu and Pham Trung Kien, Sufficient optimality conditions under invexity hypotheses, Vietnam Journal of Mathematics, 28(2000), 227-236. 36. Do Van Luu and Nguyen Xuan Ha, An invariant property of invex functions and applications, Acta Mathematica Vietnamica 25(2000), 181-193.
37. Do Van Luu and Phan Huy Khai, Convex Analysis, Science and Technics Publishing House, Hanoi, 2000, 236p.
38. Bruce Desmond Craven and Do Van Luu, Perturbing convex multiobjec- tive programs, Optimization 48(2000), 391-407 (SCIE).
39. Do Van Luu, Functional Analysis, Science and Technics Publishing House, Hanoi, 1999, 278 p.
40. Do Van Luu, Lipschitz Analysis, Science and Technics Publishing House, Hanoi, 1999, 162p.
41. Do Van Luu, The theory of optimality conditions, Science and Technics Publishing House, Hanoi, 1999, 186p.
42. Do Van Luu, General Topology, Science and Technics Publishing House, Hanoi, 1998, 160 p.
43. Bruce Desmond Craven and Do Van Luu, Lagrangian conditions for a nonsmooth vector-valued minimax, Journal of the Australian Mathematical Society (Series A) 65(1998), 163-175 (SCIE).
44. Bruce Desmond Craven and Do Van Luu, Optimization with set-functions described by functions, Optimization 42(1997), 39-50 (SCIE).
45. Bruce Desmond Craven and 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 (SCI).
46. Bruce Desmond Craven and Do Van Luu, Polyhedral set-valued optimization, Proceedings of the Optimization Miniconference III, 131-134, Eds. B. M. Glover, B. D. Craven and D. Ralph, Melbourne, Australia, July 1996.
47. Bruce Desmond Craven, Do Van Luu and Bevil Milton Glover, Strengthened invex and perturbations, Mathematical Methods of Operations Research 43(1996), 319-336 (SCIE).
48. Do Van Luu and Werner Oettli, Higher-order optimality conditions for a minimax, Bulletin of the Australian Mathematical Society, 54(1996), 509-516 (SCIE).
49. Bruce Desmond Craven and Do Van Luu, Constrained minimax for a vector-valued function, Optimization 31(1994), 199-208 (SCIE).
50. Do Van Luu and Werner Oettli, Necessary optimality conditions for nonsmooth minimax problems, Zeitschrift fur Analysis und ihre Anwendungen 12(1993), 709-721 (SCIE).
51. Do Van Luu, On the Rockafellar derivative of marginal functions and applications, Acta Mathematica Vietnamica 18(1993), No 2, 225-237.
52. Do Van Luu, Necessary optimality conditions for optimal control problems governed by hemivariational inequalities, Acta Mathematica Vietnamica 17(1992), No 2, 135-148.
53. Do Van Luu, On necessary optimality conditions for discrete minimax problems, Acta Mathematica Vietnamica 16(1991), No 2, 201-210.
54. Do Van Luu, Sufficient optimality conditions for discrete minimax problems in the presence of constraints in Banach spaces, Acta Mathemati- ca Vietnamica 15(1990), No 2, 11-23.
55. Do Van Luu, Regularity and sufficient optimality conditions for some classes of mathematical programming problems, Acta Mathematica Vietnamica 13(1988), No 2, 87-95.
56. Do Van Luu, Optimality conditions for discrete minimax problems in infinite-dimensional spaces, Tap chi Toan hoc (Journal of Mathematics), 16(1988), No 4, 15-22.
57. Do Van Luu, An approach to sufficient optimality conditions in mathemat- ical programming, In: Essays on Nonlinear Analysis and Optimization Problems, Hanoi, 1987, 60-72.
58. Do Van Luu, On sufficient optimality conditions under constraints, Tap chi Toan hoc (Journal of Mathematics), 15(1987), No 1, 3-8.
59. Do Van Luu, On the approximation property of the feseable set of a class of mathematical programming problems and sufficient optimality conditions, Proceedings of the 3rd Congress of Vietnamese Mathematicians, Hanoi, 1(1986), 102-105.
60. Do Van Luu, On first-order sufficient optimality conditions, Tap chi Toan hoc (Journal of Mathematics) 13(1985), No 4, 13-18.
61. Do Van Luu, Some applications of the locally M-surjective mapping theorem, Tap chi Toan hoc (Journal of Mathematics), 12(1984), No 3, 27-33.
62. Do Van Luu, Necessary and sufficient conditions for some general optimization problems, Acta Mathematica Vietnamica 7(1982), No 2, 37-57 63. Do Van Luu, Sufficient and necessary conditions for optimization problems involving inequality-type constraints, Tap chi Toan hoc (Journal of Mathematics) 10(1982), No 3, 8-15.
64. Do Van Luu, Necessary and Sufficient Conditions for Optimization Problems, PhD Thesis, Institute of Mathematics, Hanoi 1980.
65. Do Van Luu, Sufficient conditions for optimality in Banach spaces, Tap chi Toan hoc (Journal of Mathematics), 8(1980), No 1, 18-24.
66. Do Van Luu, Sufficient conditions for optimization problems under Lipschitz conditions, Tap chi Toan hoc (Journal of Mathematics), 8(1980), No 4, 27-33.
67. Do Van Luu, Sufficient conditions for multiple constraint optimization problems and applications, Tap chi Toan hoc (Journal of Mathematics), 6(1978), No 3, 7-18.
68. Do Van Luu, On the uniqueness of solution of the Cauchy problem for a infinite system of second-order parabolic equations with increasing coefficients, Tap chi Toan hoc (Journal of Mathematics), 1(1973), No 2, 42-48.