Đỗ Văn Lưu
GS. TS
Hướng nghiên cứu: 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
Lý lịch khoa học
Liên hệ
Phòng làm việc:
Điện thoại:
Email: dvluu AT math.ac.vn
Năm sinh: 1944
Nơi sinh: Hưng Yên
- Đại học: 1968: Đại học Tổng hợp Hà Nội
- Tiến sĩ: 1980, Viện Toán học, Viện Hàn Lâm Khoa học và Công nghệ Việt Nam
- Phó giáo sư: 1991
- Giáo sư: 2019
- Nghiên cứu viên cao cấp: 2000
Chuyên ngành: Tối ưu
Các vị trí công tác đã qua:
- Cán bộ nghiên cứu Toán tại Viện Toán học: 1969 - 2009
- Cộng tác viên của Viện Toán học: 2010-2011, 2014
- Phó Viện trưởng Viện Toán học: 1990 - 2001
- Trưởng phòng Giải tích hàm: 1993 – 1995
- Giảng viên Đại học Thăng Long từ 2012 - .
Các lĩnh vực quan tâm:
- Tối ưu đa mục tiêu
- Bài toán cân bằng
- Bài toán bất đẳng thức biến phân
- Giải tích không trơn
Các công bố khoa học
Ấn phẩm
- 1. Đỗ Văn Lưu, Nguyễn Lâm Tùng, Nonsmooth multiobjective fractional programming and second-order optimality conditions for weak efficiency, Journal of Convex Analysis 31 (2024), No. 3, 947--958 (2024)
- 2. Trần Văn Sự, Đỗ Văn Lưu, 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. Đỗ Văn Lưu, Second-order optimality conditions for nonsmooth nultiobjective optimization problems, Applied Set-Valued Analysis and Optimization, 4 (2022), 41-54. (2022)
- 4. Đỗ Văn Lưu, 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. Trần Văn Sự, Đỗ Văn Lưu, Higher-order efficiency conditions for constrained vector equilibrium problems, Optimization 71 (2022), 2613-2642, (2022)
- 6. Trần Văn Sự, Đỗ Văn Lưu, Higher-order Karush-Kuhn-Tucker optimality condit for Borwein properly efficient solutions of multiobjectine semi-infinite programming, Optimization 71 (2022), 1749-1775, (2022)
- 7. Đỗ Văn Lưu, Trần Văn Sự, 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. Đỗ Văn Lưu, 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. Đỗ Văn Lưu, Trần Thị Mai, On optimality conditions for Henig efficiency and superefficiency in vector equilibrium problems, Numerical Functional Analysis and Optimization, 39 (2018), 1833-1854 (2018)
- 10. Đỗ Văn Lưu, Trần Thị Mai, Optimality and duality in constrained interval-valued optimization, 4OR, 116 (2018), pp 311–337 (2018)
- 11. Đỗ Văn Lưu, Second-order necessary efficiency conditions for nonsmooth vector equilibrium problems, Journal of Global Optimization, 70 (2018), pp 437–453 (2018)
- 12. Nguyễn Lâm Tùng, Đỗ Văn Lưu, Optimality conditions for nonsmooth multiobjective optimization problems with general inequality constraints, Journal of Nonlinear Functional Analysis, 2018 (2018), pp. 1-15. (2018)
- 13. Đỗ Văn Lưu, Trần Thị 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. Đỗ Văn Lưu, 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. Đỗ Văn Lưu, 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. Đỗ Văn Lưu, Necessary and sufficient conditions for efficiency via convexificators, Journal of Optimization Theory and Applications, 160 (2014), 510 - 526 (2014)
- 17. Đỗ Văn Lưu, Dinh Dieu Hang, Efficient solutions and optimality conditions for vector equilibrium problems, Mathematical Methods of Operations Research, 79 (2014), 163 - 177 (2014)
- 18. Đỗ Văn Lưu, Dinh Dieu Hang, On optimality conditions for vector variational inequalities, Journal of Mathematical Analysis and Applications, 412 (2014), 792 - 804 (2014)
- 19. Đỗ Văn Lưu, Convexificators and necessary conditions for efficiency, Optimization, 63 (2014), 321 - 335 (2014)
- 20. Đỗ Văn Lưu, Higher-order efficiency conditions via higher-order tangent cones, Numercial Functional Analysis and Optimization, 35 (2014), 685 - 707 (2014)
- 21. Đỗ Văn Lưu, Necessary conditions for efficiency in terms of the Michel-Penot subdifferential, Optimization, 61 (2012), 1099 - 1117 (2012)
- 22. Đỗ Văn Lưu, Higher-order optimality conditions in nonsmooth cone-constrained multiobjective programming, Nonlinear Functional Analysis and Applications, 15 (2010), 381 - 393 (2010)
- 23. Đỗ Văn Lưu, Higher-order optimality conditions in nonsmooth cone-const-rained multiobjective programming, Nonlinear Functional Analysis and Applications 15 (2010), 429 -- 441 (2010)
- 24. Đỗ Văn Lưu, On constraint qualifications and optimality conditions in locally Lipschitz multiobjective programming problems, Nonlinear Functional Analysis and Applications, 14 (2009), 81 - 97. (2009)
- 25. Đỗ Văn Lưu, Nguyen Manh Hung, On alternative theorems and necessary conditions for efficiency, Optimization, 58 (2009), 49-62. (2009)
- 26. Đỗ Văn Lưu, Higher-order necessary and sufficient conditions for strict local Pareto minima in terms of Studniarski's derivatives, Optimization 57 (2008), 593 – 605. (2008)
- 27. Đỗ Văn Lưu, Pham Trung Kien, On higher-order conditions for strict efficiency, Soochow Journal of Mathematics, 33 (2007), N0 1, 17 - 31 (2007)
- 28. Nguyen Manh Hung, Đỗ Văn Lưu, On necessary conditions for efficiency in directionally differentiable optimization problems, Nonlinear Functional Analysis and Applications, 12 (2007), 439 - 453 (2007)
- 29. Đỗ Văn Lưu, 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. Dang Hoa, Đỗ Văn Lưu, On the stability of local minima in mathematical programming involving cone-constraints, Soochow Journal of Mathematics, 31 (2005), 1 - 14. (2005)
- 31. Đỗ Văn Lưu, Nguyen Manh Hung, Invexity of constraint maps in mathematical programs, Nonlinear Functional Analysis and Applications, 9 (2004), 289 - 304. (2004)
- 32. Đỗ Văn Lưu, Le Minh Tung, B-preinvexity criteria and application, Indian Journal of Mathematics, 45 (2003), 279 - 300. (2003)
- 33. Nguyen Xuan Ha, Đỗ Văn Lưu, Sufficient conditions for invexity, Bulletin of the Australian Mathematical Society, 68 (2003), 113 - 125. (2003)
- 34. Pham Trung Kien, Đỗ Văn Lưu, Higher-order optimality conditions for isolated local minima, Nonlinear Functional Analysis and Applications, 8 (2003), 35 - 48. (2003)
- 35. Đỗ Văn Lưu, Pham Trung Kien, Optimality conditions in terms of directional derivatives, East West Journal of Mathematics, 4 (2002), 119 - 136. (2002)
- 36. Đỗ Văn Lưu, D. Hoa, On the stability of local minima in nonsmooth mathematical programs, East West Journal of Mathematics, 4 (2002), 1 - 12. (2002)
- 37. Đỗ Văn Lưu, Le Minh Tung, Nonsmooth B-preinvex functions, Acta Mathematica Vietnamica, 27 (2002), N0 1, 33 - 40. (2002)
- 38. Nguyen Xuan Ha, Đỗ Văn Lưu, Invexity of supremum and infimum functions, Bulletin of the Australian Mathematical Society, 65 (2002), 289 - 306. (2002)
- 39. Đỗ Văn Lưu, D. N. Quynh, On the Lagrangian conditions for a nonsmooth minimax, Nonlinear Functional Analysis and Applications, 6 (2001). 157 - 169. (2001)
- 40. Đỗ Văn Lưu, Nguyen Xuan Ha, An invariant property of invex functions and applications, Acta Mathematica Vietnamica, 25 (2000), 181 - 193. (2000)
- 41. Đỗ Văn Lưu, Pham Trung Kien, Sufficient optimality conditions under invexity hypotheses, Vietnam Journal of Mathematics, 28 (2000), 227 - 236. (2000)
- 42. Bruce Desmond Craven, Đỗ Văn Lưu, Perturbing convex multiobjective programs, Optimization 48 (2000), 391 - 407 (2000)
- 43. Đỗ Văn Lưu, Phan Huy Khải, Convex analysis (in Vietnamese) – Giải tích lồi, NXB Khoa học Kỹ thuật, Hanoi, 2000, 236 trang. (2000)
- 44. Đỗ Văn Lưu, The theory of optimality conditions (in Vietnamese) – Lý thuyết các điều kiện tối ưu., NXB Khoa học Kỹ thuật, Hanoi, 1999, 186 trang. (1999)
- 45. Đỗ Văn Lưu, Lipschitz analysis (in Vietnamese) – Giải tích Lipschitz, NXB Khoa học Kỹ thuật, Hanoi, 1999, 162 trang. (1999)
- 46. Đỗ Văn Lưu, Functional analysis (in Vietnamese), Giải tích hàm. NXB Khoa học Kỹ thuật, Hanoi, 1999, 278 trang. (1999)
- 47. Đỗ Văn Lưu, General topology (in Vietnamese) – Tô pô đại cương, NXB Khoa học Kỹ thuật, Hanoi, 1998, 160 trang. (1998)
- 48. Bruce Desmond Craven, Đỗ Văn Lưu, Lagrangian conditions for a nonsmooth vector-valued minimax, Journal of the Australian Mathematical Society (Series A), 65 (1998), 163 - 175. (1998)
- 49. Bruce Desmond Craven, Đỗ Văn Lưu, A method for establishing optimality conditions for a nonsmooth vector-valued problem, Journal of Optimization Theory and Applications, 95 (1997), 295 - 304. (1997)
- 50. Bruce Desmond Craven, Đỗ Văn Lưu, Optimization with set-functions described by functions, Optimization 42 (1997), 39 - 50. (1997)
- 51. Bruce Desmond Craven, Đỗ Văn Lưu, Bevil Milton Glove, Strengthened invex and perturbation, Mathematical Methods of Operations Research, 43 (1996), 319 - 336 (1996)
- 52. Đỗ Văn Lưu, Werner. Oettli, Higher-order optimality conditions for a minimax, Bulletin of the Australian Mathematical Society, 54 (1996), 509 - 516. (1996)
- 53. Đỗ Văn Lưu, Sufficient conditions for optimization problems under Lipschitz conditions, Tạp chí Toán học 8 (1980), 27 - 33 (1980)
- 54. Đỗ Văn Lưu, Sufficient conditions for optimality in Banach spaces, Tạp chí Toán học 8 (1980), 18 - 24 (1980)
- 55. Đỗ Văn Lưu, Necessary and sufficient conditions for optimization problems, Ph.D. Thesis, Institute of Mathematics, Hanoi, 1980, 94 p (1980)
- 56. Đỗ Văn Lưu, Sufficient conditions for multiple constraint optimization problems and applications, Tạp chí Toán học 6 (1978), 7 - 18 (1978)
- 57. Đỗ Văn Lưu, On an extension of optimal control problems, Tạp chí Toán học 3 (1975), 22 - 30 (1975)
- 58. Đỗ Văn Lưu, 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 (1973)
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Đỗ Duy Hiếu, Block-pair edge community detection in bipartite networks via an adaptive spectral-modularity framework, Computational and Mathematical Organization Theory, Volume 32, article number 31 (2026)
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Đoàn Trung Cường, Lê Thị Thanh Nhàn, On the depth of the canonical module, Journal of Algebra, Volume: Volume 712 (2027), Pages: 416-435
Bài giảng viện
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Periods and exponential periods
Người báo cáo: Claude Sabbah (CNRS, École Polytechnique, Institut Polytechnique de Paris, France)