Pham Huu Sach

Scientific Publications

Publications

1. 1. Pham Huu Sach, Le Anh Tuan, Nguyen The Vinh, Vector Quasi-Equilibria for the Sum of Two Multivalued Trifunctions, Journal of Optimization Theory and Applications, Volume 204, article number 44, (2025) (2025)
2. 2. Pham Huu Sach, Le Anh Tuan, Existence of Solutions of Bifunction-Set Optimization Problems in Metric Spaces, Journal of Optimization Theory and applications, 192 (2022), 195-225, (2022)
3. 3. Pham Huu Sach, Le Anh Tuan, Semicontinuity Property of Approximate Solution Mappings in Bifunction-Set Optimization, Journal of Optimization Theory and Applications, 191 (2021), pages 202–228, (2021)
4. 4. Pham Huu Sach, Solution Existence in Bifunction-Set Optimization, Journal of Optimization Theory and Applications, 176 (2018), pp 1–16 (2018)
5. 5. Pham Huu Sach, Stability Property in Bifunction-Set Optimization, Journal of Optimization Theory and Applications, 177 (2018), pp 376–398 (2018)
6. 6. Pham Huu Sach, Le Anh Tuan, Lower semicontinuity results in parametric multivalued weak vector equilibrium problems and applications, Numerical functional analysis and optimization, 37 (2016), 753-785 (2016)
7. 7. Pham Huu Sach, Connectedness in vector equilibrium problems involving cones with possibly empty interior, Operations Research Letters, 44 (2016), 177-179 (2016)
8. 8. Pham Huu Sach, Nguyen Ba Minh, New results on Henig proper generalized vector quasiequilibrium problems, Numerical Functional Analysis and Optimization 36 (2015), 387–403 (2015)
9. 9. Nguyen Ba Minh, Le Anh Tuan, Pham Huu Sach, Efficiency in vector quasi-equilibrium problems and applications, Positivity 18 (2014), 531–556 (2014)
10. 10. Pham Huu Sach, Le Anh Tuan, Nguyen Ba Minh, Existence results in a general equilibrium problem, Numerical Functional Analysis and Applications, 34 (2013), 430 - 450 (2013)
11. 11. Pham Huu Sach, Henig proper generalized vector quasiequilibrium problems, Optimization Letters, 7 (2013), 173-184 (2013)
12. 12. Pham Huu Sach, Nguyen Ba Minh, Continuity of solution mappings in some parametric non-weak vector Ky Fan inequalities, Journal of Global Optimization Theory, 57 (2013), 1401 - 1418 (2013)
13. 13. Pham Huu Sach, Le Anh Tuan, New scalarizing approach to the stability analysis in parametric generalized Ky Fan inequality problems, Journal of Optimization Theory and Application, 157 (2013), 347-364 (2013)
14. 14. Pham Huu Sach, New nonlinear scalarization functions and applications, Nonlinear Analysis, 75 (2012), 2281 -- 2292 (2012)
15. 15. Pham Huu Sach, Lai-Jiu Lin, Systems of generalized qusivariational inclusion problems with weak convexity and weak continuity and variants of set-valued vector Ekeland variational principle, In: Proceedings of the 9th International Conference on Fixed Point Theory and Its Applications (2010),115 - 129. (2010)
16. 16. Pham Huu Sach, Le Anh Tuan, Nguyen Ba Minh, Approximate duality for vector quasi equilibrium problems and applications, Nonlinear Analysis: Theory, Methods & Applications, 72 (2010), 3994 -- 4004 (2010)
17. 17. Le Anh Tuan, Gue Myung Lee, Pham Huu Sach, Upper semicontinuity in a parametric general variational problem and application, Nonlinear Analysis: Theory, Methods & Application, 72 (2010), 1500 -- 1513 (2010)
18. 18. Pham Huu Sach, Le Anh Tuan, Sensitivity in mixed generalized vector quasiequilibrium problems with moving cones, Nonlinear Analysis: Theory, Methods & Applications, 73 (2010), 713-724 (2010)
19. 19. Le Anh Tuan, Gue Myung Lee, Pham Huu Sach, Upper semicontinuity result for the solution mapping of a mixed parametric generalized vector quasiequilibrium problem with moving cones, Journal of Global Optimization, 47 (2010), 639 -- 660 (2010)
20. 20. Pham Huu Sach, Lai-Jiu Lin, Le Anh Tuan, Generalized vector quasi-variational inclusion problems with moving cones, Journal of Optimization Theory and Applications, 147 (2010), 607 -- 620 (2010)
21. 21. Pham Huu Sach, Le Anh Tuan, Generalizations of vector quasivariational inclusion problems with set-valued maps, Journal of Global Optimization, 43 (2009), 23-45. (2009)
22. 22. Pham Huu Sach, Le Anh Tuan, Strong duality with proper efficiency in multiobjective optimization involing nonconvex st-valued maps, Numerical functional analysis and optimization, 30 (2009), 371-392 (2009)
23. 23. Pham Huu Sach, Le Anh Tuan, Gue Myung Lee, Sensitivity results for a general class of generalized vector quasi-equilibrium problems with set-valued maps., Nonlinear Analysis: Theory, Methods & Applications, 71 (2009), 571-586 (2009)
24. 24. Pham Huu Sach, Do Sang Kim, Le Anh Tuan, Gue Myung Lee, Duality results for generalized vector variational inequalities with set-valued maps, Journal of Optimization Theory and Applications, 136 (2008), 105 - 123. (2008)
25. 25. Pham Huu Sach, On a class of generalized vector quasiequilibrium problems with set-valued maps, Journal of Optimization Theory and Applications, 139 (2008), 337 - 350. (2008)
26. 26. Pham Huu Sach, Moreau-Rockafellar theorems for nonconvex set-valued maps, Journal of Optimization Theory and Applications, 133 (2007), 213 - 227 (2007)
27. 27. Pham Huu Sach, Le Anh Tuan, Existence results for set-valued vector quasiequilibrium problems, Journal of Optimization Theory and Applications, 133 (2007), 229 - 240 (2007)
28. 28. Le Anh Tuan, Pham Huu Sach, On some generalized vector equilibrium problems with set-valued maps, Acta Mathematica Vietnamica, 32 (2007), 15 - 32. (2007)
29. 29. Pham Huu Sach, Do Sang Kim, Gue Myung Lee, Invexity as necessary optimality condition in nonsmooth programs, Journal of the Korean Mathematical Society, 43 (2006), 241 - 258. (2006)
30. 30. Pham Huu Sach, Hartley proper efficiency in multiobjective optimization problems with locally Lipschitz set-valued objectives and constraints, Journal of Global Optimization, 35 (2006), 1 - 25. (2006)
31. 31. Pham Huu Sach, Do Sang Kim, Gue Myung Lee, Strong duality for proper efficiency in vector optimization, Journal of Optimization Theory and Applications, 130 (2006), 139 - 151. (2006)
32. 32. Pham Huu Sach, New generalized converxity notion for set-valued maps and application to vector optimization, Journal of Optimization Theory and Applications, 125 (2005), 157 - 179. (2005)
33. 33. Le Anh Tuan, Pham Huu Sach, Existence of solutions of generalized quasivariational inequalities with set-valued maps,, Acta Mathematica Vietnamica, 29 (2004), 309 - 316 (2004)
34. 34. Pham Huu Sach, Gue Myung Lee, Do Sang Kim, Efficiency and generalised convexity in vector optimisation problems., The ANZIAM Journal, 45 (2004), N0 4, 523 - 546. (2004)
35. 35. Do Sang Kim, Gue Myung Lee, Pham Huu Sach, Hartley proper efficiency in multifunction optimization, Journal of Optimization Theory and Applications, 120 (2004), 129 - 145. (2004)
36. 36. Pham Huu Sach, Nearly subconvexlike set-valued maps and vector optimization problems, Journal of Optimization Theory and Applications, 119 (2003), 335 - 356. (2003)
37. 37. Pham Huu Sach, Gue Myung Lee, Do Sang Kim, Infine functions, nonsmooth alternative theorems and vector optimization problems, Journal of Global Optimization, 27 (2003), 51 - 81. (2003)
38. 38. Pham Huu Sach, Lower semicontinuity of kernels of closed convex processes and local reachability of discrete-time systems, Optimization 51 (2002), 451 - 470. (2002)
39. 39. Pham Huu Sach, Reachability for discrete-time dynamical set-valued systems depending on a parameter, Optimization 48 (2000), 17 - 42. (2000)
40. 40. Pham Huu Sach, Characterization of scalar quasiconvexity and convexity of vector-valued locally Lipschitz maps, Optimization 46 (1999), 283 - 310. (1999)
41. 41. Pham Huu Sach, Another characterization of convexity for set-valued maps, Numer. Funct. Anal. Optim. 20 (1999), 341 - 351. (1999)
42. 42. J. E. Martinez-Legaz, Pham Huu Sach, A new subdifferential in quasiconvex analysis, Journal of Convex Analysis, 6 (1999), 1 - 11. (1999)
43. 43. Pham Huu Sach, Sufficient conditions for reachability and controllability of discrete systems with phase constraints, Optimization 43 (1998), 303 - 321. (1998)
44. 44. Pham Huu Sach, Jean-Paul Penot, Characterizations of generalized convexity via generalized directional derivative, Numerical Functional Analysis and Optimization, 19 (1998), 615 - 634. (1998)
45. 45. Jean-Paul Penot, Pham Huu Sach, Generalized monotonicity of subdifferentials and generalized convexity, Journal of Optimization Theory and Applications, 94 (1997), 251 - 262. (1997)
46. 46. Pham Huu Sach, Nguyen Dong Yen, Convexity criteria for set-valued maps, Set-Valued Analysis, 5 (1997), 37 - 45. (1997)
47. 47. Pham Huu Sach, Sufficient conditions for generalized convex set-valued maps, Optimization 37 (1996), 293 - 304. (1996)
48. 48. Werner. Oettli, Pham Huu Sach, Prederivatives and second order conditions for infinite optimization problems, In: Recent Advances in Nonsmooth Optimization, (edited by D. Z. Du, L. Qi and R. S. Womersley), World Scientific Publishers, 1995, 243 - 259. (1995)
49. 49. Pham Huu Sach, Ta Duy Phuong, Invexity criteria for a class of vector-valued functions, Bulletin of the Australian Mathematical Society, 51 (1995), 249 - 262 (1995)
50. 50. Ta Duy Phuong, Pham Huu Sach, Nguyen Dong Yen, Strict lower semicontinuity of the level sets and invexity of a locally Lipschitz function, Journal of Optimization Theory and Applications, 87 (1995), 579 - 594. (1995)
51. 51. Pham Huu Sach, Nguyen Dong Yen, On locally Lipschitz vector-valued invex functions, Bulletin of the Australian Mathematical Society, 47 (1993), 259 - 271. (1993)
52. 52. Bruce Desmond Craven, Pham Huu Sach, Nguyen Dong Yen, Ta Duy Phuong, A new class of invex multi-functions, In: Nonsmooth Optimization: Methods and Applications (F. Gianessi, ed.), Gordon and Breach Science Publishers, 1992, 52 - 69 (1992)
53. 53. Pham Huu Sach, Inconsistency theory for inclusion systems and its applications to the control problems, Habilitation thesis, Moscow, 1981, 243 p (1981)
54. 54. Pham Huu Sach, Vector optimization theory of set-valued convex systems, Acta Math. Vietnam. 4 (1979), 105 - 112 (1979)
55. 55. Pham Huu Sach, A support principle for a discrete inclusion with vector-valued criterion function, Acta Math. Vietnam. 4 (1979), 64 - 87 (1979)
56. 56. Pham Huu Sach, A support principle for a general extremum problem, Z. Vycisl. Mat. i Mat. Fiz. 18 (1978), 338 - 350 (1978)
57. 57. Pham Huu Sach, Extremum conditions in linear abstract problems, Revue roumaine Math. Pures Appl. 23 (1978), 869 - 886 (1978)
58. 58. Pham Huu Sach, Controllability in set-valued processes, Differ. Uravn. 12 (1976), 484 - 493 (1976)
59. 59. Pham Huu Sach, On the control theory of processes given by set valued maps, Kibernetika 1976, 107 - 116 (1976)
60. 60. Pham Huu Sach, Invariance and controlllability in linear abstract processes, Kibernetika 1976, 103 - 109 (1976)
61. 61. Pham Huu Sach, Invariance and controlllability in some linear processes, Avtomatika i Telemekhanika 1976, 26 - 35 (1976)
62. 62. Pham Huu Sach, Theory of set-valued abstract processes, Acta Math. Vietnam. 1 (1976), 80 - 103 (1976)
63. 63. Pham Huu Sach, Invariance for linear abstract processes, Z. Vycisl. Mat. i Mat. Fiz. 14 (1974), 1104 - 1117 (1974)
64. 64. Pham Huu Sach, On invariance in linear discrete process, Avtomatika i Telemekhanika 1973, 146 - 150 (1973)
65. 65. Pham Huu Sach, Optimal control for discrete systems, Ph. D. Thesis, Moscow 1970, 102 p. (in Russian). (1970)
66. 66. Pham Huu Sach, On optimal control for discrete systems with time lag, Avtomatika i Telemekhanika 1970, 40 - 49 (in Russian). (1970)
67. 67. Pham Huu Sach, Singular controls for discrete systems, Z. Vycisl. Mat. i Mat. Fiz. 10 (1970), 857 - 867 (in Russian). (1970)
68. 68. Pham Huu Sach, On the optimal control theory for discrete processes, Z. Vycisi. Mat. i Mat. Fiz. 10 (1970), 607 - 620 (in Russian). (1970)