Phạm Hữu Sách

Phạm Hữu Sách

GS. TSKH.

Chưa phân loại

Hướng nghiên cứu: Giải tích biến phân, Lý thuyết các bài toán tối ưu, Lý thuyết các bài toán cân bằng

Các công bố khoa học

Ấn phẩm

  1. 1. Phạm Hữu Sách, Lê Anh Tuấn, Nguyễn Thế 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. Phạm Hữu Sách, Lê Anh Tuấn, Existence of Solutions of Bifunction-Set Optimization Problems in Metric Spaces, Journal of Optimization Theory and applications, 192 (2022), 195-225, (2022)
  3. 3. Phạm Hữu Sách, Lê Anh Tuấn, Semicontinuity Property of Approximate Solution Mappings in Bifunction-Set Optimization, Journal of Optimization Theory and Applications, 191 (2021), pages 202–228, (2021)
  4. 4. Phạm Hữu Sách, Solution Existence in Bifunction-Set Optimization, Journal of Optimization Theory and Applications, 176 (2018), pp 1–16 (2018)
  5. 5. Phạm Hữu Sách, Stability Property in Bifunction-Set Optimization, Journal of Optimization Theory and Applications, 177 (2018), pp 376–398 (2018)
  6. 6. Phạm Hữu Sách, Lê Anh Tuấn, Lower semicontinuity results in parametric multivalued weak vector equilibrium problems and applications, Numerical functional analysis and optimization, 37 (2016), 753-785 (2016)
  7. 7. Phạm Hữu Sách, Connectedness in vector equilibrium problems involving cones with possibly empty interior, Operations Research Letters, 44 (2016), 177-179 (2016)
  8. 8. Phạm Hữu Sách, Nguyễn Bá Minh, New results on Henig proper generalized vector quasiequilibrium problems, Numerical Functional Analysis and Optimization 36 (2015), 387–403 (2015)
  9. 9. Nguyễn Bá Minh, Lê Anh Tuấn, Phạm Hữu Sách, Efficiency in vector quasi-equilibrium problems and applications, Positivity 18 (2014), 531–556 (2014)
  10. 10. Phạm Hữu Sách, Lê Anh Tuấn, Nguyễn Bá Minh, Existence results in a general equilibrium problem, Numerical Functional Analysis and Applications, 34 (2013), 430 - 450 (2013)
  11. 11. Phạm Hữu Sách, Henig proper generalized vector quasiequilibrium problems, Optimization Letters, 7 (2013), 173-184 (2013)
  12. 12. Phạm Hữu Sách, Nguyễn Bá 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. Phạm Hữu Sách, Lê Anh Tuấn, 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. Phạm Hữu Sách, New nonlinear scalarization functions and applications, Nonlinear Analysis, 75 (2012), 2281 -- 2292 (2012)
  15. 15. Phạm Hữu Sách, 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. Phạm Hữu Sách, Lê Anh Tuấn, Nguyễn Bá Minh, Approximate duality for vector quasi equilibrium problems and applications, Nonlinear Analysis: Theory, Methods & Applications, 72 (2010), 3994 -- 4004 (2010)
  17. 17. Lê Anh Tuấn, Gue Myung Lee, Phạm Hữu Sách, Upper semicontinuity in a parametric general variational problem and application, Nonlinear Analysis: Theory, Methods & Application, 72 (2010), 1500 -- 1513 (2010)
  18. 18. Phạm Hữu Sách, Lê Anh Tuấn, Sensitivity in mixed generalized vector quasiequilibrium problems with moving cones, Nonlinear Analysis: Theory, Methods & Applications, 73 (2010), 713-724 (2010)
  19. 19. Lê Anh Tuấn, Gue Myung Lee, Phạm Hữu Sách, 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. Phạm Hữu Sách, Lai-Jiu Lin, Lê Anh Tuấn, Generalized vector quasi-variational inclusion problems with moving cones, Journal of Optimization Theory and Applications, 147 (2010), 607 -- 620 (2010)
  21. 21. Phạm Hữu Sách, Lê Anh Tuấn, Generalizations of vector quasivariational inclusion problems with set-valued maps, Journal of Global Optimization, 43 (2009), 23-45. (2009)
  22. 22. Phạm Hữu Sách, Lê Anh Tuấn, 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. Phạm Hữu Sách, Lê Anh Tuấn, 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. Phạm Hữu Sách, Do Sang Kim, Lê Anh Tuấn, 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. Phạm Hữu Sách, 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. Phạm Hữu Sách, Moreau-Rockafellar theorems for nonconvex set-valued maps, Journal of Optimization Theory and Applications, 133 (2007), 213 - 227 (2007)
  27. 27. Phạm Hữu Sách, Lê Anh Tuấn, Existence results for set-valued vector quasiequilibrium problems, Journal of Optimization Theory and Applications, 133 (2007), 229 - 240 (2007)
  28. 28. Lê Anh Tuấn, Phạm Hữu Sách, On some generalized vector equilibrium problems with set-valued maps, Acta Mathematica Vietnamica, 32 (2007), 15 - 32. (2007)
  29. 29. Phạm Hữu Sách, 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. Phạm Hữu Sách, 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. Phạm Hữu Sách, 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. Phạm Hữu Sách, 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. Lê Anh Tuấn, Phạm Hữu Sách, Existence of solutions of generalized quasivariational inequalities with set-valued maps,, Acta Mathematica Vietnamica, 29 (2004), 309 - 316 (2004)
  34. 34. Phạm Hữu Sách, 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, Phạm Hữu Sách, Hartley proper efficiency in multifunction optimization, Journal of Optimization Theory and Applications, 120 (2004), 129 - 145. (2004)
  36. 36. Phạm Hữu Sách, Nearly subconvexlike set-valued maps and vector optimization problems, Journal of Optimization Theory and Applications, 119 (2003), 335 - 356. (2003)
  37. 37. Phạm Hữu Sách, 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. Phạm Hữu Sách, Lower semicontinuity of kernels of closed convex processes and local reachability of discrete-time systems, Optimization 51 (2002), 451 - 470. (2002)
  39. 39. Phạm Hữu Sách, Reachability for discrete-time dynamical set-valued systems depending on a parameter, Optimization 48 (2000), 17 - 42. (2000)
  40. 40. Phạm Hữu Sách, Characterization of scalar quasiconvexity and convexity of vector-valued locally Lipschitz maps, Optimization 46 (1999), 283 - 310. (1999)
  41. 41. Phạm Hữu Sách, Another characterization of convexity for set-valued maps, Numer. Funct. Anal. Optim. 20 (1999), 341 - 351. (1999)
  42. 42. J. E. Martinez-Legaz, Phạm Hữu Sách, A new subdifferential in quasiconvex analysis, Journal of Convex Analysis, 6 (1999), 1 - 11. (1999)
  43. 43. Phạm Hữu Sách, Sufficient conditions for reachability and controllability of discrete systems with phase constraints, Optimization 43 (1998), 303 - 321. (1998)
  44. 44. Phạm Hữu Sách, 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, Phạm Hữu Sách, Generalized monotonicity of subdifferentials and generalized convexity, Journal of Optimization Theory and Applications, 94 (1997), 251 - 262. (1997)
  46. 46. Phạm Hữu Sách, Nguyễn Đông Yên, Convexity criteria for set-valued maps, Set-Valued Analysis, 5 (1997), 37 - 45. (1997)
  47. 47. Phạm Hữu Sách, Sufficient conditions for generalized convex set-valued maps, Optimization 37 (1996), 293 - 304. (1996)
  48. 48. Werner. Oettli, Phạm Hữu Sách, 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. Phạm Hữu Sách, Tạ Duy Phượng, Invexity criteria for a class of vector-valued functions, Bulletin of the Australian Mathematical Society, 51 (1995), 249 - 262 (1995)
  50. 50. Tạ Duy Phượng, Phạm Hữu Sách, Nguyễn Đông Yên, 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. Phạm Hữu Sách, Nguyễn Đông Yên, On locally Lipschitz vector-valued invex functions, Bulletin of the Australian Mathematical Society, 47 (1993), 259 - 271. (1993)
  52. 52. Bruce Desmond Craven, Phạm Hữu Sách, Nguyễn Đông Yên, Tạ Duy Phượng, 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. Phạm Hữu Sách, Inconsistency theory for inclusion systems and its applications to the control problems, Habilitation thesis, Moscow, 1981, 243 p (1981)
  54. 54. Phạm Hữu Sách, Vector optimization theory of set-valued convex systems, Acta Math. Vietnam. 4 (1979), 105 - 112 (1979)
  55. 55. Phạm Hữu Sách, A support principle for a discrete inclusion with vector-valued criterion function, Acta Math. Vietnam. 4 (1979), 64 - 87 (1979)
  56. 56. Phạm Hữu Sách, A support principle for a general extremum problem, Z. Vycisl. Mat. i Mat. Fiz. 18 (1978), 338 - 350 (1978)
  57. 57. Phạm Hữu Sách, Extremum conditions in linear abstract problems, Revue roumaine Math. Pures Appl. 23 (1978), 869 - 886 (1978)
  58. 58. Phạm Hữu Sách, Controllability in set-valued processes, Differ. Uravn. 12 (1976), 484 - 493 (1976)
  59. 59. Phạm Hữu Sách, On the control theory of processes given by set valued maps, Kibernetika 1976, 107 - 116 (1976)
  60. 60. Phạm Hữu Sách, Invariance and controlllability in linear abstract processes, Kibernetika 1976, 103 - 109 (1976)
  61. 61. Phạm Hữu Sách, Invariance and controlllability in some linear processes, Avtomatika i Telemekhanika 1976, 26 - 35 (1976)
  62. 62. Phạm Hữu Sách, Theory of set-valued abstract processes, Acta Math. Vietnam. 1 (1976), 80 - 103 (1976)
  63. 63. Phạm Hữu Sách, Invariance for linear abstract processes, Z. Vycisl. Mat. i Mat. Fiz. 14 (1974), 1104 - 1117 (1974)
  64. 64. Phạm Hữu Sách, On invariance in linear discrete process, Avtomatika i Telemekhanika 1973, 146 - 150 (1973)
  65. 65. Phạm Hữu Sách, Optimal control for discrete systems, Ph. D. Thesis, Moscow 1970, 102 p. (in Russian). (1970)
  66. 66. Phạm Hữu Sách, On optimal control for discrete systems with time lag, Avtomatika i Telemekhanika 1970, 40 - 49 (in Russian). (1970)
  67. 67. Phạm Hữu Sách, Singular controls for discrete systems, Z. Vycisl. Mat. i Mat. Fiz. 10 (1970), 857 - 867 (in Russian). (1970)
  68. 68. Phạm Hữu Sách, On the optimal control theory for discrete processes, Z. Vycisi. Mat. i Mat. Fiz. 10 (1970), 607 - 620 (in Russian). (1970)