Pham Huu Sach
Emeritus Professor
Cộng tác viên

Address
Office: Building A5, Room 113
Tel: +84 (02)4 38361121 / 505
Email: phsach AT math.ac.vn
PUBLICATIONS
List of publications in MathSciNet
List of recent publications
1  Pham Huu Sach, Le Anh Tuan , Existence of Solutions of BifunctionSet Optimization Problems in Metric Spaces, Journal of Optimization Theory and applications, 192 (2022), 195225, (SCIE, Scopus). 
2  Pham Huu Sach, Le Anh Tuan , Semicontinuity Property of Approximate Solution Mappings in BifunctionSet Optimization, Journal of Optimization Theory and Applications, 191 (2021), pages 202–228, SCIE, Scopus. 
3  Nguyễn Bá Minh, Pham Huu Sach, Strong vector equilibriyum problems with LSC approximate solution mappings, Journal of Industrial and Management Optimization 16 No. 2 (2020), 511529. (SCIE, Scopus). 
4  Pham Huu Sach, Solution Existence in BifunctionSet Optimization, Journal of Optimization Theory and Applications, 176 (2018), pp 1–16, SCI(E); Scopus. 
5  Pham Huu Sach, Stability Property in BifunctionSet Optimization, Journal of Optimization Theory and Applications, 177 (2018), pp 376–398, SCI(E); Scopus. 
6  Pham Huu Sach, Lê Anh Tuấn, Lower semicontinuity results in parametric multivalued weak vector equilibrium problems and applications, Numerical functional analysis and optimization, 37 (2016), 753785, SCI(E); Scopus. 
7  Pham Huu Sach, Connectedness in vector equilibrium problems involving cones with possibly empty interior, Operations Research Letters, 44 (2016), 177179, SCI(E); Scopus. 
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,SCI(E), Scopus. 
9  Nguyen Ba Minh, Le Anh Tuan, Pham Huu Sach, Efficiency in vector quasiequilibrium problems and applications. Positivity 18 (2014), 531–556, SCI(E), Scopus. 
10  Pham Huu Sach, Le Anh Tuan and Nguyen Ba Minh, Existence results in a general equilibrium problem, Numerical Functional Analysis and Applications, 34 (2013), 430  450, SCI(E); Scopus. 
11  Pham Huu Sach, Henig proper generalized vector quasiequilibrium problems, Optimization Letters, 7 (2013), 173184, SCI(E); Scopus. 
12  Pham Huu Sach, Nguyen Ba Minh, Continuity of solution mappings in some parametric nonweak vector Ky Fan inequalities, Journal of Global Optimization Theory, 57 (2013), 1401  1418, SCI(E); Scopus. 
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), 347364, SCI(E); Scopus. 
14  Pham Huu Sach, New nonlinear scalarization functions and applications, Nonlinear Analysis, 75 (2012), 2281  2292, SCI(E); Scopus. 
15  Pham Huu Sach, L.J. Lin, Systems of generalized qusivariational inclusion problems with weak convexity and weak continuity and variants of setvalued vector Ekeland variational principle, In: Proceedings of the 9th International Conference on Fixed Point Theory and Its Applications (2010),115  129. 
16  Pham Huu Sach, L. A. Tuan and N. B. Minh, Approximate duality for vector quasi equilibrium problems and applications, Nonlinear Analysis: Theory, Methods & Applications, 72 (2010), 3994  4004, SCI(E); Scopus. 
17  Pham Huu Sach, L. A. Tuan and G. M. Lee, Upper semicontinuity in a parametric general variational problem and application, Nonlinear Analysis: Theory, Methods & Application, 72 (2010), 1500  1513, SCI(E); Scopus. 
18  Pham Huu Sach, L. A. Tuan, Sensitivity in mixed generalized vector quasiequilibrium problems with moving cones, Nonlinear Analysis: Theory, Methods & Applications, 73 (2010), 713724, SCI(E); Scopus. 
19  Pham Huu Sach, L. A. Tuan and G. M. Lee, 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, SCI(E); Scopus. 
20  Pham Huu Sach, L. J. Lin and L. A. Tuan, Generalized vector quasivariational inclusion problems with moving cones, Journal of Optimization Theory and Applications, 147 (2010), 607  620, SCI(E); Scopus. 
21  Pham Huu Sach, Le Anh Tuan, Generalizations of vector quasivariational inclusion problems with setvalued maps, J. Global Optim., 43 (2009), 2345. 
22  Pham Huu Sach, Le Anh Tuan, Strong duality with proper efficiency in multiobjective optimization involing nonconvex stvalued maps, Numerical functional analysis and optimization, 30 (2009), 371392. 
23  Pham Huu Sach, Le Anh Tuan and Gue Myung Lee, Sensitivity results for a general class of generalized vector quasiequilibrium problems with setvalued maps, Nonlinear Analysis: Theory, Methods & Applications, 71 (2009), 571586. 
24  Pham Huu Sach, D. S. Kim; L. A. Tuan and G. M. Lee, Duality results for generalized vector variational inequalities with setvalued maps, J. Optim. Theory Appl. 136 (2008), 105  123. 
25  Pham Huu Sach, On a class of generalized vector quasiequilibrium problems with setvalued maps, J. Optim. Theory Appl. 139 (2008), 337  350. 
26  Pham Huu Sach, MoreauRockafellar theorems for nonconvex setvalued maps, J. Optim. Theory Appl. 133 (2007), 213  227. 
27  Pham Huu Sach, Le Anh Tuan, Existence results for setvalued vector quasiequilibrium problems, J. Optim. Theory Appl. 133 (2007), 229  240. 
28  Le Anh Tuan, Pham Huu Sach, On some generalized vector equilibrium problems with setvalued maps, Acta Math. Vietnam. 32 (2007), 15  32. 
29  Pham Huu Sach, D. S. Kim and G. M. Lee, Invexity as necessary optimality condition in nonsmooth programs, J. Korean Math. Soc. 43 (2006), 241  258. 
30  Pham Huu Sach, Hartley proper efficiency in multiobjective optimization problems with locally Lipschitz setvalued objectives and constraints, J. Global Optim. 35 (2006), 1  25. 
31  Pham Huu Sach, D. S. Kim and G. M. Lee, Strong duality for proper efficiency in vector optimization, J. Optim. Theory Appl. 130 (2006), 139  151. 
32  Pham Huu Sach, New generalized converxity notion for setvalued maps and application to vector optimization, J. Optim. Theory Appl. 125 (2005), 157  179. 
33  Le Anh Tuan, Pham Huu Sach, Existence of solutions of generalized quasivariational inequalities with setvalued maps, Acta Math. Vietnam. 29 (2004), 309  316. 
34  Pham Huu Sach, Gue Myung Lee, Do Sang Kim, Efficiency and generalised convexity in vector optimisation problems. ANZIAM J. 45 (2004), N0 4, 523  546. 
35  D. S. Kim, G. M. Lee, Pham Huu Sach, Hartley proper efficiency in multifunction optimization, J. Optim. Theory Appl. 120 (2004), 129  145. 
36  Pham Huu Sach, Nearly subconvexlike setvalued maps and vector optimization problems, J. Optim. Theory Appl. 119 (2003), 335  356. 
37  Pham Huu Sach, Gue Myung Lee, Do Sang Kim, Infine functions, nonsmooth alternative theorems and vector optimization problems, J. Global Optim. 27 (2003), 51  81. 
38  Pham Huu Sach, Lower semicontinuity of kernels of closed convex processes and local reachability of discretetime systems, Optimization 51 (2002), 451  470. 
39  Pham Huu Sach, Reachability for discretetime dynamical setvalued systems depending on a parameter, Optimization 48 (2000), 17  42. 
40  Pham Huu Sach, Characterization of scalar quasiconvexity and convexity of vectorvalued locally Lipschitz maps. Optimization 46 (1999), 283  310. 
41  Pham Huu Sach, Another characterization of convexity for setvalued maps. Numer. Funct. Anal. Optim. 20 (1999), 341  351. 
42  J. E. MartinezLegaz, Pham Huu Sach, A new subdifferential in quasiconvex analysis. J. of Convex Analysis 6 (1999), 1  11. 
43  Pham Huu Sach, Sufficient conditions for reachability and controllability of discrete systems with phase constraints. Optimization 43 (1998), 303  321. 
44  Pham Huu Sach, J. P. Penot, Characterizations of generalized convexity via generalized directional derivative. Numer. Funct. Anal. Optim. 19 (1998), 615  634. 
45  J. P. Penot, Pham Huu Sach, Generalized monotonicity of subdifferentials and generalized convexity. J. Optim. Theory Appl. 94 (1997), 251  262. 
46  Pham Huu Sach, Nguyen Dong Yen, Convexity criteria for setvalued maps. SetValued Analysis 5 (1997), 37  45. 
47  Pham Huu Sach, Sufficient conditions for generalized convex setvalued maps. Optimization 37 (1996), 293  304. 
48  Ta Duy Phuong, Pham Huu Sach, Nguyen Dong Yen, Strict lower semicontinuity of the level sets and invexity of a locally Lipschitz function. J. Optim. Theory Appl. 87 (1995), 579  594. 
49  Pham Huu Sach, W. Oettli, 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. 
50  Pham Huu Sach, Ta Duy Phuong, Invexity criteria for a class of vectorvalued functions. Bull. Austral. Math. Soc. 51 (1995), 249  262. 
51  Pham Huu Sach, Nguyen Dong Yen, B.D. Craven, Generalized invexity and duality theories with multifunctions. Numer. Funct. Anal. Optim. 15 (1994), 131  153. 
52  Nguyen Dong Yen, Pham Huu Sach, On locally Lipschitz vectorvalued invex functions. Bull. Austral. Math. Soc. 47 (1993), 259  271. 
53  Pham Huu Sach, N. Q. Lan, A mean value theorem for setvalued maps. Revue Roumaine Math. Pures Appl. 38 (1993), 359  368. 
54  B. D. Craven, Pham Huu Sach, Nguyen Dong Yen, Ta Duy Phuong, A new class of invex multifunctions. In: Nonsmooth Optimization: Methods and Applications (F. Gianessi, ed.), Gordon and Breach Science Publishers, 1992, 52  69 
55  Pham Huu Sach, B. D. Craven, Invexity multifunctions and duality. Numer. Funct. Anal. Optim. 12 (1991), 575  591. 
56  Pham Huu Sach, B. D. Craven, Invexity in multifunction optimization. Numer. Funct. Anal. Optim. 12 (1991), 383  394. 
57  Pham Huu Sach, Second order necessary optimality conditions for optimization problems involving setvalued maps. Appl. Math. Optim. 22 (1990), 189  209. 
58  Pham Huy Dien, Pham Huu Sach, Further properties of the regularity of inclusion systems. Nonlinear Analysis. Theory Methods and Appl. 13 (1989), 1251  1267. 
59  Pham Huy Dien, Pham Huu Sach, Second order optimality conditions for the extremal problem under inclusion constraints. Appl. Math. Optim. 20 (1989), 71  80. 
60  Pham Huu Sach, Differentiability of setvalued maps in Banch spaces. Math. Nachr. 139 (1988), 215  235. 
61  Pham Huu Sach, Calmness, regularity and support priciple. Optimization 19 (1988), 13  27. 
62  Pham Huu Sach, Vector optimization for convex setvalued systems. Izvestia Acad. Sci. USSR, Tehniceskaia Kibernetika 1987, N0 6, 45  56 (in Russian). 
63  Pham Huy Dien, Pham Huu Sach, Contingent cone to the solution set of an inclusion system and optimization problems involving setvalued maps, In: Essays on Nonlinear Analysis and Optimization, Hanoi 1987, 43  59. 
64  Pham Huu Sach, A surjectivity theorem for setvalued maps. Bolletino U. M. I., Analisi Funzionale e Applicazioni Sere VI, Vol. VC (1986), 411  436. 
65  Pham Huu Sach, Duality for discrete systems given by multivalued convex maps. Differ. Uravn. 20 (1984), 1611  1620 (in Russian). 
66  Pham Huu Sach, Optimization of discrete systems. Acta Math. Vietnam. 8 (1983), 89  108. 
67  Pham Huu Sach, Inconsistency theory for inclusion systems and its applications to the control problems. Habilitation thesis, Moscow, 1981, 243 p. (in Russian). 
68  Pham Huu Sach, A support principle for a discrete inclusion with vectorvalued criterion function. Acta Math. Vietnam. 4 (1979), 64  87. 
69  Pham Huu Sach, Vector optimization theory of setvalued convex systems. Acta Math. Vietnam. 4 (1979), 105  112 (in Russian). 
70  Pham Huu Sach, Extremum conditions in linear abstract problems. Revue roumaine Math. Pures Appl. 23 (1978), 869  886 (in Russian). 
71  Pham Huu Sach, A support principle for a general extremum problem. Z. Vycisl. Mat. i Mat. Fiz. 18 (1978), 338  350 (in Russian). 
72  Pham Huu Sach, Theory of setvalued abstract processes. Acta Math. Vietnam. 1 (1976), 80  103 (in Russian). 
73  Pham Huu Sach, Invariance and controlllability in some linear processes. Avtomatika i Telemekhanika 1976, 26  35 (in Russian). 
74  Pham Huu Sach, Invariance and controlllability in linear abstract processes. Kibernetika 1976, 103  109 (in Russian). 
75  Pham Huu Sach, On the control theory of processes given by set valued maps. Kibernetika 1976, 107  116 (in Russian). 
76  Pham Huu Sach, Controllability in setvalued processes. Differ. Uravn. 12 (1976), 484  493 (in Russian). 
77  Pham Huu Sach, A support principle for discrete processes. Differ. Uravn. 11 (1975), 1485  1496 (in Russian). 
78  Pham Huu Sach, Invariance for linear abstract processes. Z. Vycisl. Mat. i Mat. Fiz. 14 (1974), 1104  1117 (in Russian). 
79  Pham Huu Sach, On invariance in linear discrete process. Avtomatika i Telemekhanika 1973, 146  150 (in Russian). 
80  Pham Huu Sach, Optimal control for discrete systems. Ph. D. Thesis, Moscow 1970, 102 p. (in Russian). 
81  Pham Huu Sach, On optimal control for discrete systems with time lag. Avtomatika i Telemekhanika 1970, 40  49 (in Russian). 
82  Pham Huu Sach, Singular controls for discrete systems. Z. Vycisl. Mat. i Mat. Fiz. 10 (1970), 857  867 (in Russian). 
83  Pham Huu Sach, On the optimal control theory for discrete processes. Z. Vycisi. Mat. i Mat. Fiz. 10 (1970), 607  620 (in Russian). 
84  Pham Huu Sach, On optimal control for discrete processes. Avtomatika i Telemekhanika 1968, 78  86 (in Russian). 
Highlights
11/06/23, Conference: Trường hè Dự bị Thạc sĩ năm 2023 
19/06/23, Conference: Conference on Commutative Algebra and its interaction with Algebraic Geometry and Combinatorics 2023 
19/06/23, Conference: International School “High Dimensional Probability and applications” 
08/08/23, Conference: Đại hội Toán học Việt Nam lần thứ X 
18/09/23, Conference: Arithmetic and Cohomology of Algebraic Varieties 