Pham Huu Sach
Emeritus Professor

Cộng tác viên
Research interests: Multivalued analysis


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
1Pham 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, (SCI-E, Scopus).
2Pham 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, SCI-E, Scopus.
3Nguyễn Bá Minh, Pham Huu Sach, Strong vector equilibriyum problems with LSC approximate solution mappings, Journal of Industrial and Management Optimization 16 No. 2 (2020), 511-529. (SCI-E, Scopus).
4Pham Huu Sach, Solution Existence in Bifunction-Set Optimization, Journal of Optimization Theory and Applications, 176 (2018), pp 1–16, SCI(-E); Scopus.
5Pham Huu Sach, Stability Property in Bifunction-Set Optimization, Journal of Optimization Theory and Applications, 177 (2018), pp 376–398, SCI(-E); Scopus.
6Pham Huu Sach, Lê Anh Tuấn, Lower semicontinuity results in parametric multivalued weak vector equilibrium problems and applications, Numerical functional analysis and optimization, 37 (2016), 753-785, SCI(-E); Scopus.
7Pham Huu Sach, Connectedness in vector equilibrium problems involving cones with possibly empty interior, Operations Research Letters, 44 (2016), 177-179, SCI(-E); Scopus.
8Pham 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.
9Nguyen Ba Minh, Le Anh Tuan, Pham Huu Sach, Efficiency in vector quasi-equilibrium problems and applications. Positivity 18 (2014), 531–556, SCI(-E), Scopus.
10Pham 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.
11Pham Huu Sach, Henig proper generalized vector quasiequilibrium problems, Optimization Letters, 7 (2013), 173-184, SCI(-E); Scopus.
12Pham 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, SCI(-E); Scopus.
13Pham 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, SCI(-E); Scopus.
14Pham Huu Sach, New nonlinear scalarization functions and applications,  Nonlinear Analysis, 75 (2012), 2281 -- 2292, SCI(-E); Scopus.
15Pham Huu Sach, L.-J. 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.
16Pham 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.
17Pham 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.
18Pham Huu Sach, L. A. Tuan, Sensitivity in mixed generalized vector quasiequilibrium problems with moving cones, Nonlinear Analysis: Theory, Methods & Applications, 73 (2010), 713-724, SCI(-E); Scopus.
19Pham 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.
20Pham Huu Sach, L. J. Lin and L. A. Tuan, Generalized vector quasi-variational inclusion problems with moving cones, Journal of Optimization Theory and Applications, 147 (2010), 607 -- 620, SCI(-E); Scopus.
21Pham Huu Sach, Le Anh Tuan, Generalizations of vector quasivariational inclusion problems with set-valued maps, J. Global Optim., 43 (2009), 23-45.
22Pham 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.
23Pham Huu Sach, Le Anh Tuan and 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.
24Pham Huu Sach, D. S. Kim; L. A. Tuan and G. M. Lee, Duality results for generalized vector variational inequalities with set-valued maps, J. Optim. Theory Appl. 136 (2008), 105 - 123.
25Pham Huu Sach, On a class of generalized vector quasiequilibrium problems with set-valued maps, J. Optim. Theory Appl. 139 (2008), 337 - 350.
26Pham Huu Sach, Moreau-Rockafellar theorems for nonconvex set-valued maps, J. Optim. Theory Appl. 133 (2007), 213 - 227.
27Pham Huu Sach, Le Anh Tuan, Existence results for set-valued vector quasiequilibrium problems, J. Optim. Theory Appl. 133 (2007), 229 - 240.
28Le Anh Tuan, Pham Huu Sach, On some generalized vector equilibrium problems with set-valued maps, Acta Math. Vietnam. 32 (2007), 15 - 32.
29Pham 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.
30Pham Huu Sach, Hartley proper efficiency in multiobjective optimization problems with locally Lipschitz set-valued objectives and constraints, J. Global Optim. 35 (2006), 1 - 25.
31Pham 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.
32Pham Huu Sach, New generalized converxity notion for set-valued maps and application to vector optimization, J. Optim. Theory Appl. 125 (2005), 157 - 179.
33Le Anh Tuan, Pham Huu Sach, Existence of solutions of generalized quasivariational inequalities with set-valued maps, Acta Math. Vietnam. 29 (2004), 309 - 316.
34Pham Huu Sach, Gue Myung Lee, Do Sang Kim, Efficiency and generalised convexity in vector optimisation problems. ANZIAM J. 45 (2004), N0 4, 523 - 546.
35D. S. Kim, G. M. Lee, Pham Huu Sach, Hartley proper efficiency in multifunction optimization, J. Optim. Theory Appl. 120 (2004), 129 - 145.
36Pham Huu Sach, Nearly subconvexlike set-valued maps and vector optimization problems, J. Optim. Theory Appl. 119 (2003), 335 - 356.
37Pham Huu Sach, Gue Myung Lee, Do Sang Kim, Infine functions, nonsmooth alternative theorems and vector optimization problems, J. Global Optim. 27 (2003), 51 - 81.
38Pham Huu Sach, Lower semicontinuity of kernels of closed convex processes and local reachability of discrete-time systems, Optimization 51 (2002), 451 - 470.
39Pham Huu Sach, Reachability for discrete-time dynamical set-valued systems depending on a parameter, Optimization 48 (2000), 17 - 42.
40Pham Huu Sach, Characterization of scalar quasiconvexity and convexity of vector-valued locally Lipschitz maps. Optimization 46 (1999), 283 - 310.
41Pham Huu Sach, Another characterization of convexity for set-valued maps. Numer. Funct. Anal. Optim. 20 (1999), 341 - 351.
42J. E. Martinez-Legaz, Pham Huu Sach, A new subdifferential in quasiconvex analysis. J. of Convex Analysis 6 (1999), 1 - 11.
43Pham Huu Sach, Sufficient conditions for reachability and controllability of discrete systems with phase constraints. Optimization 43 (1998), 303 - 321.
44Pham Huu Sach, J. P. Penot, Characterizations of generalized convexity via generalized directional derivative. Numer. Funct. Anal. Optim. 19 (1998), 615 - 634.
45J. P. Penot, Pham Huu Sach, Generalized monotonicity of subdifferentials and generalized convexity. J. Optim. Theory Appl. 94 (1997), 251 - 262.
46Pham Huu Sach, Nguyen Dong Yen, Convexity criteria for set-valued maps. Set-Valued Analysis 5 (1997), 37 - 45.
47Pham Huu Sach, Sufficient conditions for generalized convex set-valued maps. Optimization 37 (1996), 293 - 304.
48Ta 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.
49Pham 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.
50Pham Huu Sach, Ta Duy Phuong, Invexity criteria for a class of vector-valued functions. Bull. Austral. Math. Soc. 51 (1995), 249 - 262.
51Pham Huu Sach, Nguyen Dong Yen, B.D. Craven, Generalized invexity and duality theories with multifunctions. Numer. Funct. Anal. Optim. 15 (1994), 131 - 153.
52Nguyen Dong Yen, Pham Huu Sach, On locally Lipschitz vector-valued invex functions. Bull. Austral. Math. Soc. 47 (1993), 259 - 271.
53Pham Huu Sach, N. Q. Lan, A mean value theorem for set-valued maps. Revue Roumaine Math. Pures Appl. 38 (1993), 359 - 368.
54B. D. 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
55Pham Huu Sach, B. D. Craven, Invexity multifunctions and duality. Numer. Funct. Anal. Optim. 12 (1991), 575 - 591.
56Pham Huu Sach, B. D. Craven, Invexity in multifunction optimization. Numer. Funct. Anal. Optim. 12 (1991), 383 - 394.
57Pham Huu Sach, Second order necessary optimality conditions for optimization problems involving set-valued maps. Appl. Math. Optim. 22 (1990), 189 - 209.
58Pham Huy Dien, Pham Huu Sach, Further properties of the regularity of inclusion systems. Nonlinear Analysis. Theory Methods and Appl. 13 (1989), 1251 - 1267.
59Pham Huy Dien, Pham Huu Sach, Second order optimality conditions for the extremal problem under inclusion constraints. Appl. Math. Optim. 20 (1989), 71 - 80.
60Pham Huu Sach, Differentiability of set-valued maps in Banch spaces. Math. Nachr. 139 (1988), 215 - 235.
61Pham Huu Sach, Calmness, regularity and support priciple. Optimization 19 (1988), 13 - 27.
62Pham Huu Sach, Vector optimization for convex set-valued systems. Izvestia Acad. Sci. USSR, Tehniceskaia Kibernetika 1987, N0 6, 45 - 56 (in Russian).
63Pham Huy Dien, Pham Huu Sach, Contingent cone to the solution set of an inclusion system and optimization problems involving set-valued maps, In: Essays on Nonlinear Analysis and Optimization, Hanoi -1987, 43 - 59.
64Pham Huu Sach, A surjectivity theorem for set-valued maps. Bolletino U. M. I., Analisi Funzionale e Applicazioni Sere VI, Vol. V-C (1986), 411 - 436.
65Pham Huu Sach, Duality for discrete systems given by multi-valued convex maps. Differ. Uravn. 20 (1984), 1611 - 1620 (in Russian).
66Pham Huu Sach, Optimization of discrete systems. Acta Math. Vietnam. 8 (1983), 89 - 108.
67Pham Huu Sach, Inconsistency theory for inclusion systems and its applications to the control problems. Habilitation thesis, Moscow, 1981, 243 p. (in Russian).
68Pham Huu Sach, A support principle for a discrete inclusion with vector-valued criterion function. Acta Math. Vietnam. 4 (1979), 64 - 87.
69Pham Huu Sach, Vector optimization theory of set-valued convex systems. Acta Math. Vietnam. 4 (1979), 105 - 112 (in Russian).
70Pham Huu Sach, Extremum conditions in linear abstract problems. Revue roumaine Math. Pures Appl. 23 (1978), 869 - 886 (in Russian).
71Pham Huu Sach, A support principle for a general extremum problem. Z. Vycisl. Mat. i Mat. Fiz. 18 (1978), 338 - 350 (in Russian).
72Pham Huu Sach, Theory of set-valued abstract processes. Acta Math. Vietnam. 1 (1976), 80 - 103 (in Russian).
73Pham Huu Sach, Invariance and controlllability in some linear processes. Avtomatika i Telemekhanika 1976, 26 - 35 (in Russian).
74Pham Huu Sach, Invariance and controlllability in linear abstract processes. Kibernetika 1976, 103 - 109 (in Russian).
75Pham Huu Sach, On the control theory of processes given by set valued maps. Kibernetika 1976, 107 - 116 (in Russian).
76Pham Huu Sach, Controllability in set-valued processes. Differ. Uravn. 12 (1976), 484 - 493 (in Russian).
77Pham Huu Sach, A support principle for discrete processes. Differ. Uravn. 11 (1975), 1485 - 1496 (in Russian).
78Pham Huu Sach, Invariance for linear abstract processes. Z. Vycisl. Mat. i Mat. Fiz. 14 (1974), 1104 - 1117 (in Russian).
79Pham Huu Sach, On invariance in linear discrete process. Avtomatika i Telemekhanika 1973, 146 - 150 (in Russian).
80Pham Huu Sach, Optimal control for discrete systems. Ph. D. Thesis, Moscow 1970, 102 p. (in Russian).
81Pham Huu Sach, On optimal control for discrete systems with time lag. Avtomatika i Telemekhanika 1970, 40 - 49 (in Russian).
82Pham Huu Sach, Singular controls for discrete systems. Z. Vycisl. Mat. i Mat. Fiz. 10 (1970), 857 - 867 (in Russian).
83Pham Huu Sach, On the optimal control theory for discrete processes. Z. Vycisi. Mat. i Mat. Fiz. 10 (1970), 607 - 620 (in Russian).
84Pham Huu Sach, On optimal control for discrete processes. Avtomatika i Telemekhanika 1968, 78 - 86 (in Russian).