Do Van Luu

Scientific CV

Scientific Publications

Publications

1. 1. 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 (2024)
2. 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 (2023)
3. 3. Do Van Luu, Second-order optimality conditions for nonsmooth nultiobjective optimization problems, Applied Set-Valued Analysis and Optimization, 4 (2022), 41-54. (2022)
4. 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, (2022)
5. 5. Tran Van Su, Do Van Luu, Higher-order efficiency conditions for constrained vector equilibrium problems, Optimization 71 (2022), 2613-2642, (2022)
6. 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, (2022)
7. 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, (2021)
8. 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 (2019)
9. 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 (2018)
10. 10. Do Van Luu, Tran Thi Mai, Optimality and duality in constrained interval-valued optimization, 4OR, 116 (2018), pp 311–337 (2018)
11. 11. Do Van Luu, Second-order necessary efficiency conditions for nonsmooth vector equilibrium problems, Journal of Global Optimization, 70 (2018), pp 437–453 (2018)
12. 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. (2018)
13. 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 (2018)
14. 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 (2016)
15. 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 (2015)
16. 16. Do Van Luu, Necessary and sufficient conditions for efficiency via convexificators, Journal of Optimization Theory and Applications, 160 (2014), 510 - 526 (2014)
17. 17. Do Van Luu, Dinh Dieu Hang, Efficient solutions and optimality conditions for vector equilibrium problems, Mathematical Methods of Operations Research, 79 (2014), 163 - 177 (2014)
18. 18. Do Van Luu, Dinh Dieu Hang, On optimality conditions for vector variational inequalities, Journal of Mathematical Analysis and Applications, 412 (2014), 792 - 804 (2014)
19. 19. Do Van Luu, Convexificators and necessary conditions for efficiency, Optimization, 63 (2014), 321 - 335 (2014)
20. 20. Do Van Luu, Higher-order efficiency conditions via higher-order tangent cones, Numercial Functional Analysis and Optimization, 35 (2014), 685 - 707 (2014)
21. 21. Do Van Luu, Necessary conditions for efficiency in terms of the Michel-Penot subdifferential, Optimization, 61 (2012), 1099 - 1117 (2012)
22. 22. Do Van Luu, Higher-order optimality conditions in nonsmooth cone-constrained multiobjective programming, Nonlinear Functional Analysis and Applications, 15 (2010), 381 - 393 (2010)
23. 23. Do Van Luu, Higher-order optimality conditions in nonsmooth cone-const-rained multiobjective programming, Nonlinear Functional Analysis and Applications 15 (2010), 429 -- 441 (2010)
24. 24. Do Van Luu, On constraint qualifications and optimality conditions in locally Lipschitz multiobjective programming problems, Nonlinear Functional Analysis and Applications, 14 (2009), 81 - 97. (2009)
25. 25. Do Van Luu, Nguyen Manh Hung, On alternative theorems and necessary conditions for efficiency, Optimization, 58 (2009), 49-62. (2009)
26. 26. 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. (2008)
27. 27. Do Van Luu, Pham Trung Kien, On higher-order conditions for strict efficiency, Soochow Journal of Mathematics, 33 (2007), N0 1, 17 - 31 (2007)
28. 28. 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 (2007)
29. 29. 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 (2006)
30. 30. 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. (2005)
31. 31. Do Van Luu, Nguyen Manh Hung, Invexity of constraint maps in mathematical programs, Nonlinear Functional Analysis and Applications, 9 (2004), 289 - 304. (2004)
32. 32. Do Van Luu, Le Minh Tung, B-preinvexity criteria and application, Indian Journal of Mathematics, 45 (2003), 279 - 300. (2003)
33. 33. Nguyen Xuan Ha, Do Van Luu, Sufficient conditions for invexity, Bulletin of the Australian Mathematical Society, 68 (2003), 113 - 125. (2003)
34. 34. Pham Trung Kien, Do Van Luu, Higher-order optimality conditions for isolated local minima, Nonlinear Functional Analysis and Applications, 8 (2003), 35 - 48. (2003)
35. 35. Do Van Luu, Pham Trung Kien, Optimality conditions in terms of directional derivatives, East West Journal of Mathematics, 4 (2002), 119 - 136. (2002)
36. 36. Do Van Luu, D. Hoa, On the stability of local minima in nonsmooth mathematical programs, East West Journal of Mathematics, 4 (2002), 1 - 12. (2002)
37. 37. Do Van Luu, Le Minh Tung, Nonsmooth B-preinvex functions, Acta Mathematica Vietnamica, 27 (2002), N0 1, 33 - 40. (2002)
38. 38. Nguyen Xuan Ha, Do Van Luu, Invexity of supremum and infimum functions, Bulletin of the Australian Mathematical Society, 65 (2002), 289 - 306. (2002)
39. 39. Do Van Luu, D. N. Quynh, On the Lagrangian conditions for a nonsmooth minimax, Nonlinear Functional Analysis and Applications, 6 (2001). 157 - 169. (2001)
40. 40. Do Van Luu, Nguyen Xuan Ha, An invariant property of invex functions and applications, Acta Mathematica Vietnamica, 25 (2000), 181 - 193. (2000)
41. 41. Do Van Luu, Pham Trung Kien, Sufficient optimality conditions under invexity hypotheses, Vietnam Journal of Mathematics, 28 (2000), 227 - 236. (2000)
42. 42. Bruce Desmond Craven, Do Van Luu, Perturbing convex multiobjective programs, Optimization 48 (2000), 391 - 407 (2000)
43. 43. Do Van Luu, Phan Huy Khai, Convex Analysis, Science and Technology Publishing House, Hanoi, 2000, 236 pages. (2000)
44. 44. Do Van Luu, The Theory of Optimality Conditions, Science and Technology Publishing House, Hanoi, 1999, 186 pages. (1999)
45. 45. Do Van Luu, Lipschitz Analysis, Science and Technology Publishing House, Hanoi, 1999, 162 pages. (1999)
46. 46. Do Van Luu, Functional analysis (in Vietnamese), Functional Analysis. Science and Technology Publishing House, Hanoi, 1999, 278 pages. (1999)
47. 47. Do Van Luu, General Topology, Science and Technology Publishing House, Hanoi, 1998, 160 pages. (1998)
48. 48. Bruce Desmond Craven, Do Van Luu, Lagrangian conditions for a nonsmooth vector-valued minimax, Journal of the Australian Mathematical Society (Series A), 65 (1998), 163 - 175. (1998)
49. 49. Bruce Desmond 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. (1997)
50. 50. Bruce Desmond Craven, Do Van Luu, Optimization with set-functions described by functions, Optimization 42 (1997), 39 - 50. (1997)
51. 51. Bruce Desmond Craven, Do Van Luu, Bevil Milton Glove, Strengthened invex and perturbation, Mathematical Methods of Operations Research, 43 (1996), 319 - 336 (1996)
52. 52. Do Van Luu, Werner. Oettli, Higher-order optimality conditions for a minimax, Bulletin of the Australian Mathematical Society, 54 (1996), 509 - 516. (1996)
53. 53. Do Van Luu, Sufficient conditions for optimization problems under Lipschitz conditions, Vietnam Journal of Mathematics 8 (1980), 27 - 33 (1980)
54. 54. Do Van Luu, Sufficient conditions for optimality in Banach spaces, Vietnam Journal of Mathematics 8 (1980), 18 - 24 (1980)
55. 55. Do Van Luu, Necessary and sufficient conditions for optimization problems, Ph.D. Thesis, Institute of Mathematics, Hanoi, 1980, 94 p (1980)
56. 56. Do Van Luu, Sufficient conditions for multiple constraint optimization problems and applications, Vietnam Journal of Mathematics 6 (1978), 7 - 18 (1978)
57. 57. Do Van Luu, On an extension of optimal control problems, Vietnam Journal of Mathematics 3 (1975), 22 - 30 (1975)
58. 58. Do Van Luu, On the uniqueness of solution of the Cauchy problem for a infinite system of second-order parabolic equation with increasing coefficients, Vietnam Journal of Mathematics 1 (1973), 42 - 48 (1973)