Dinh The Luc

Scientific Publications

Publications

1. 1. Dinh The Luc, Roger J.-B. Wets, Outer semicontinuity of positive hull mappings with application to semi-infinite and stochastic programming, SIAM Journal on Optimization, 19 (2008), 700 - 713 (2008)
2. 2. Dinh The Luc, Generalized convexity, generalized monotonicity and applications, . Proceedings of the 7th International Symposium on Generalized Convexity and Generalized Monotonicity held in Hanoi, August 27 - 31, 2002. Nonconvex Optimization and its Applications, 77. Springer-Verlag, New York, 2005. x+350 pp. (2005)
3. 3. Dinh The Luc, Generalized convexity in vector optimization, . In: Handbook of generalized convexity and generalized monotonicity, 195 - 236, Nonconvex Optim. Appl., 76, Springer, New York, 2005 (2005)
4. 4. Dinh The Luc, Nguyen Xuan Tan, Existence conditions in varation inclusions with constraints, Optimization 53 (2004), 505 - 515. (2004)
5. 5. Alberto Cambini, Dinh The Luc, Laura Martein, Order-preserving transformations and applications, Journal of Optimization Theory and Applications, 118 (2003), 275 - 293. (2003)
6. 6. Dinh The Luc, M.A. Noor, Local uniqueness of solutions of general variational inequalities, Journal of Optimization Theory and Applications, 117 (2003), N0 1, 103 - 119. (2003)
7. 7. Alberto Cambini, Dinh The Luc, Laura Martein, A method for calculating subdifferential of convex vector functions, Journal of Statistics and Management Systems, 6 (2003), 155 - 170 (2003)
8. 8. A. Guerraggio, Dinh The Luc, Optimality conditions for $C^{1,1}$ constrained multiobjective problems, Journal of Optimization Theory and Applications, 116 (2003), 117 - 129. (2003)
9. 9. Pham Huy Dien, Dinh The Luc, Ta Duy Phuong, Analysis of Functions of One Variable – Basic Principles and Computational Practice, Vietnam National University Press, Hanoi, 2005, 238 pages (in Vietnamese). (2003)
10. 10. Dinh The Luc, Pham Huy Dien, Ta Duy Phuong, Analysis of Functions of Several Variables: Basic Principles and Computational Practice, . Vietnam National University Press 2002, 280 pages. (2002)
11. 11. V. Jeyakumar, Dinh The Luc, Sharp variational conditions for convex composite nonsmooth functions, SIAM Journal on Optimization, 13 (2002), 904 - 920. (2002)
12. 12. Dinh The Luc, A. Guerraggio, Vector optimization problems with $C_{1,1}$ functions, Optimization in economics, finance and industry (Verona, 2001), 1 - 13, Datanova, Milan, 2002 (2002)
13. 13. Dinh The Luc, Second order optimality conditions for problems with continuously differentiable data, Optimization 51 (2002), 497 - 510. (2002)
14. 14. V. Jeyakumar, Dinh The Luc, Convex interior mapping theorems for continuous nonsmooth functions and optimization, Journal of Nonlinear and Convex Analysis, 3 (2002), N0 2, 251 - 266. (2002)
15. 15. Dinh The Luc, A multiplier rule for multiobjective programming problems with continuous data, SIAM Journal on Optimization, 13 (2002), 168 - 178. (2002)
16. 16. V. Jeyakumar, Dinh The Luc, An open mapping theorem using unbounded generalized Jacobians, Nonlinear Anal. 50 (2002), Ser.A: Theory Methods, 647 - 663. (2002)
17. 17. Dinh The Luc, The Frechet approximate Jacobian and local uniqueness in variational inequalities, Journal of Mathematical Analysis and Applications, 268 (2002), 629 - 646. (2002)
18. 18. Huynh Van Ngai, Dinh The Luc, Michel A. Théra, Extensions of Frechet $\epsilon$-subdifferential calculus and applications, Journal of Mathematical Analysis and Applications, 268 (2002), 266 - 290. (2002)
19. 19. V. Jeyakumar, Dinh The Luc, Phan Nhat Tinh, Convex composite non-Lipschitz programming, Mathematical Programming , 92 (2002), Ser. A, 177 - 195. (2002)
20. 20. Dinh The Luc, Recessively compact sets: properties and uses, Set-Valued Analysis, 10 (2002), 15 - 35. (2002)
21. 21. A. Guerraggio, Dinh The Luc, Nguyen Ba Minh, Second-order optimality conditions for $C^1$ multiobjective programming problems, Dedicated to Pham Huu Sach on the occasion of his sixtieth birthday, Acta Mathematica Vietnamica, 26 (2001), 257 - 268 (2001)
22. 22. A. Fischer, V. Jeyakumar, Dinh The Luc, Solution point characterizations and convergence analysis of a descent algorithm for nonsmooth continuous complementarity problems, Journal of Optimization Theory and Applications, 110 (2001), 493 - 513 (2001)
23. 23. Dinh The Luc, Jean-Paul Penot, Convergence of asymptotic directions, Transactions of the American Mathematical Society, 353 (2001), 4095 - 4121 (electronic). (2001)
24. 24. A. Guerraggio, Dinh The Luc, Optimality conditions for C1,1 vector optimization problems, Journal of Optimization Theory and Applications, 109 (2001), N0 3, 615 - 629. (2001)
25. 25. Dinh The Luc, Existence results for densely pseudomonotone variational inequalities, Journal of Mathematical Analysis and Applications, 254 (2001), 291 - 308. (2001)
26. 26. L. V. Thuan, Dinh The Luc, On sensitivity in linear multiobjective programming, Journal of Optimization Theory and Applications, 107 (2000), 615 - 626. (2000)
27. 27. Dinh The Luc, Huynh Van Ngai, Michel A. Théra, Approximate convex functions, J. Nonlinear Convex Anal. 1 (2000), 155 - 176. (2000)
28. 28. Nguyen Thi Bach Kim, Dinh The Luc, Normal cones to a polyhedral convex set and generating efficient faces in linear multiobjective programming, Acta Mathematica Vietnamica, 25 (2000), 101 - 124. (2000)
29. 29. Dinh The Luc, Huynh Van Ngai, Michel A. Théra, On $\epsilon$-monotonicity and $\epsilon$-convexity., Calculus of variations and differential equations (Haifa, 1998), 82 - 100, Chapman & Hall/CRC Res. Notes Math., 410, Chapman & Hall/CRC, Boca Raton, FL, 2000 (2000)
30. 30. Dinh The Luc, Contractibility of efficient point sets in normed spaces, Nonlinear Anal. 15 (1990), N0 6, 527 - 535, Nonlinear Anal. 38 (1999), N0 4, Sec. A: Theory Methods, 547 (1999)
31. 31. Dinh The Luc, J. E. Martinez-Legaz, Alberto Seeger, Least deviation decomposition with respect to a pair convex sets, Journal of Convex Analysis, 6 (1999), 115 - 140. (1999)
32. 32. V. Jeyakumar, Dinh The Luc, Nonsmooth calculus, minimality and monotonicity of convexficatiors, Journal of Optimization Theory and Applications, 101 (1999), 599 - 621. (1999)
33. 33. Dinh The Luc, Generalized convexity and some applications to vector optimization, Vietnam J. Math. 26 (1998), 95 - 110. (1998)
34. 34. V. Jeyakumar, Dinh The Luc, S. Schaible, Characterizations of generalized monotone nonsmooth continuous maps using approximate Jacobians, Journal of Convex Analysis, 5 (1998), 119 - 132. (1998)
35. 35. Alejandro Jofré, Dinh The Luc, Michel A. Théra, $\epsilon$-subdifferential and $\epsilon$-monotonicity, Nonlinear Analysis: Theory, Methods & Applications, 33 (1998), 71 - 90 (1998)
36. 36. Phan Nhat Tinh, Dinh The Luc, Nguyen Xuan Tan, Subdifferential characterizations of quasiconvex and convex vector functions, Vietnam J. Math. 26 (1998), 53 - 69 (1998)
37. 37. Dinh The Luc, Nguyen Xuan Tan, Phan Nhat Tinh, Convex vector functions and their subdifferentials, Acta Mathematica Vietnamica, 23 (1998), 107 - 127. (1998)
38. 38. Dinh The Luc, Pham Huy Dien, Nguyen Xuan Tan, Ta Duy Phuong, Mathematical Analysis - Basic Principles & Computational Practice, Education Publishing House, Hanoi, 1998 (1998)
39. 39. Dinh The Luc, Pham Huy Dien, Ta Duy Phuong, Computational Practice with Maple V, Education Publishing House, Hanoi, 1998 (1998)
40. 40. Dinh The Luc, M. Volle, Level sets under infimal convolution and level addition, Journal of Optimization Theory and Applications, 94 (1997), 695 - 714. (1997)
41. 41. Dinh The Luc, S. Schaible, On efficiency and generalized convexity, Journal of Optimization Theory and Applications, 94 (1997), 147 - 153. (1997)
42. 42. Dinh The Luc, Smooth representation of a polyhedral convex set with application to sensitivity in optimization, Proceedings of the American Mathematical Society, 125 (1997), 555 - 567. (1997)
43. 43. Dinh The Luc, Pham Huy Dien, Differentiable selection of optimal solutions in parametric linear programming, Proceedings of the American Mathematical Society, 125 (1997), N0 3, 883 - 892. (1997)
44. 44. Dinh The Luc, A strong mean value theorem and its application, Nonlinear Analysis: Theory, Methods & Applications 26 (1996), 915 - 923. (1996)
45. 45. Alejandro Jofré, Dinh The Luc, Michel A. Théra, $\epsilon$-subdifferential calculus for nonconvex function and $\epsilon$-monotonicity, C. R. Acad. Sci Paris 323 (1996), 735 - 740. (1996)
46. 46. Dinh The Luc, Taylor's formula for $C_{k,1}$ functions, SIAM Journal on Optimization, 5 (1995), 659–669 (1995)
47. 47. Dinh The Luc, R. Lucchetti, C. Maliverti, , Convergence of the efficient sets, Set-Valued Analysis 2 (1994), 1 - 12. (1994)
48. 48. Dinh The Luc, On generalized convex nonsmooth functions, Bulletin of the Australian Mathematical Society 49 (1994), 139 - 149. (1994)
49. 49. Nguyen Xuan Tan, Dinh The Luc, Banach-Steinhaus theorem for multivalued mappings, Acta Math. Vietnam. 5 (1980), 161 - 168 (1980)
50. 50. Dinh The Luc, One remark on the realizability of singular cohomology groups, Math. Nachr. 82 (1978), 87 - 88 (1978)