Pham Huu Sach


Emeritus Professor

Cộng tác viên
Research interests: Multivalued analysis


Address
Office: Building A5, Room 113
Tel: +84 (0)4 37563474 / 113
Email: phsach AT math.ac.vn

PUBLICATIONS

List of publications in MathSciNet

 

List of recent publications
1Pham Huu Sach, Lê Anh Tuấn, Lower semicontinuity results in parametric multivalued weak vector equilibrium problems and applications, Numerical functional analysis and aptimization, 37 (206), 753-785.
2Pham Huu Sach, Connectedness in vector equilibrium problems involving cones with possibly empty interior, Operations Research Letters, 44 (2016), 177-179.
3Pham Huu Sach, Nguyen Ba Minh, New results on Henig proper generalized vector quasiequilibrium problems. Numerical Functional Analysis and Optimization 36 (2015), 387–403.
4Nguyen Ba Minh, Le Anh Tuan, Pham Huu Sach, Efficiency in vector quasi-equilibrium problems and applications. Positivity 18 (2014), 531–556.
5Pham 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.
6Pham Huu Sach, Henig proper generalized vector quasiequilibrium problems, Optimization Letters, 7 (2013), 173-184.
7Pham 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.
8Pham 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.
9Pham Huu Sach, New nonlinear scalarization functions and applications,  Nonlinear Analysis, 75 (2012), 2281 -- 2292.
10Pham 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.
11Pham Huu Sach, L. A. Tuan and N. B. Minh, Approximate duality for vector quasiequilibrium problems and applications, Nonlinear Anal.: Theory, Methods & Appl., 72 (2010), 3994 -- 4004.
12Pham Huu Sach, L. A. Tuan and G. M. Lee, Upper semicontinuity in a parametric general variational problem and application, Nonlinear Anal.: Theory, Methods & Appl., 72 (2010), 1500 -- 1513.
13Pham Huu Sach, L. A. Tuan, Sensitivity in mixed generalized vector quasiequilibrium problems with moving cones, Nonlinear Anal.: Theory, Methods & Appl., 73 (2010), 713-724.
14Pham 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, J. Glob. Optim, 47 (2010), 639 -- 660.
15Pham Huu Sach, L. J. Lin and L. A. Tuan, Generalized vector quasi-variational inclusion problems with moving cones, J. Optim. Theory Appl, 147 (2010), 607 -- 620.
16Pham Huu Sach, Le Anh Tuan, Generalizations of vector quasivariational inclusion problems with set-valued maps, J. Global Optim., 43 (2009), 23-45.
17Pham 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.
18Pham 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.
19Pham 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.
20Pham Huu Sach, On a class of generalized vector quasiequilibrium problems with set-valued maps, J. Optim. Theory Appl. 139 (2008), 337 - 350.
21Pham Huu Sach, Moreau-Rockafellar theorems for nonconvex set-valued maps, J. Optim. Theory Appl. 133 (2007), 213 - 227.
22Pham Huu Sach, Le Anh Tuan, Existence results for set-valued vector quasiequilibrium problems, J. Optim. Theory Appl. 133 (2007), 229 - 240.
23Le Anh Tuan, Pham Huu Sach, On some generalized vector equilibrium problems with set-valued maps, Acta Math. Vietnam. 32 (2007), 15 - 32.
24Pham 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.
25Pham Huu Sach, Hartley proper efficiency in multiobjective optimization problems with locally Lipschitz set-valued objectives and constraints, J. Global Optim. 35 (2006), 1 - 25.
26Pham 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.
27Pham Huu Sach, New generalized converxity notion for set-valued maps and application to vector optimization, J. Optim. Theory Appl. 125 (2005), 157 - 179.
28Le Anh Tuan, Pham Huu Sach, Existence of solutions of generalized quasivariational inequalities with set-valued mapsActa Math. Vietnam. 29 (2004), 309 - 316.
29Pham Huu Sach, Gue Myung Lee, Do Sang Kim, Efficiency and generalised convexity in vector optimisation problems. ANZIAM J. 45 (2004), N0 4, 523 - 546.
30D. S. Kim, G. M. Lee, Pham Huu Sach, Hartley proper efficiency in multifunction optimization, J. Optim. Theory Appl. 120 (2004), 129 - 145.
31Pham Huu Sach, Nearly subconvexlike set-valued maps and vector optimization problems, J. Optim. Theory Appl. 119 (2003), 335 - 356.
32Pham Huu Sach, Gue Myung Lee, Do Sang Kim, Infine functions, nonsmooth alternative theorems and vector optimization problems, J. Global Optim. 27 (2003), 51 - 81.
33Pham Huu Sach, Lower semicontinuity of kernels of closed convex processes and local reachability of discrete-time systems, Optimization 51 (2002), 451 - 470.
34Pham Huu Sach, Reachability for discrete-time dynamical set-valued systems depending on a parameter, Optimization 48 (2000), 17 - 42.
35Pham Huu Sach, Characterization of scalar quasiconvexity and convexity of vector-valued locally Lipschitz maps. Optimization 46 (1999), 283 - 310.
36Pham Huu Sach, Another characterization of convexity for set-valued maps. Numer. Funct. Anal. Optim. 20 (1999), 341 - 351.
37J. E. Martinez-Legaz, Pham Huu Sach, A new subdifferential in quasiconvex analysis. J. of Convex Analysis 6 (1999), 1 - 11.
38Pham Huu Sach, Sufficient conditions for reachability and controllability of discrete systems with phase constraints. Optimization 43 (1998), 303 - 321.
39Pham Huu Sach, J. P. Penot, Characterizations of generalized convexity via generalized directional derivative. Numer. Funct. Anal. Optim. 19 (1998), 615 - 634.
40J. P. Penot, Pham Huu Sach, Generalized monotonicity of subdifferentials and generalized convexity. J. Optim. Theory Appl. 94 (1997), 251 - 262.
41Pham Huu Sach, Nguyen Dong Yen, Convexity criteria for set-valued maps. Set-Valued Analysis 5 (1997), 37 - 45.
42Pham Huu Sach, Sufficient conditions for generalized convex set-valued maps. Optimization 37 (1996), 293 - 304.
43Ta 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.
44Pham 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.
45Pham Huu Sach, Ta Duy Phuong, Invexity criteria for a class of vector-valued functions. Bull. Austral. Math. Soc. 51 (1995), 249 - 262.
46Pham Huu Sach, Nguyen Dong Yen, B.D. Craven, Generalized invexity and duality theories with multifunctions. Numer. Funct. Anal. Optim. 15 (1994), 131 - 153.
47Nguyen Dong Yen, Pham Huu Sach, On locally Lipschitz vector-valued invex functions. Bull. Austral. Math. Soc. 47 (1993), 259 - 271.
48Pham Huu Sach, N. Q. Lan, A mean value theorem for set-valued maps. Revue Roumaine Math. Pures Appl. 38 (1993), 359 - 368.
49B. 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
50Pham Huu Sach, B. D. Craven, Invexity multifunctions and duality. Numer. Funct. Anal. Optim. 12 (1991), 575 - 591.
51Pham Huu Sach, B. D. Craven, Invexity in multifunction optimization. Numer. Funct. Anal. Optim. 12 (1991), 383 - 394.
52Pham Huu Sach, Second order necessary optimality conditions for optimization problems involving set-valued maps. Appl. Math. Optim. 22 (1990), 189 - 209.
53Pham Huy Dien, Pham Huu Sach, Further properties of the regularity of inclusion systems. Nonlinear Analysis. Theory Methods and Appl. 13 (1989), 1251 - 1267.
54Pham Huy Dien, Pham Huu Sach, Second order optimality conditions for the extremal problem under inclusion constraints. Appl. Math. Optim. 20 (1989), 71 - 80.
55Pham Huu Sach, Differentiability of set-valued maps in Banch spaces. Math. Nachr. 139 (1988), 215 - 235.
56Pham Huu Sach, Calmness, regularity and support priciple. Optimization 19 (1988), 13 - 27.
57Pham Huu Sach, Vector optimization for convex set-valued systems. Izvestia Acad. Sci. USSR, Tehniceskaia Kibernetika 1987, N0 6, 45 - 56 (in Russian).
58Pham 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.
59Pham 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.
60Pham Huu Sach, Duality for discrete systems given by multi-valued convex maps. Differ. Uravn. 20 (1984), 1611 - 1620 (in Russian).
61Pham Huu Sach, Optimization of discrete systems. Acta Math. Vietnam. 8 (1983), 89 - 108.
62Pham Huu Sach, Inconsistency theory for inclusion systems and its applications to the control problems. Habilitation thesis, Moscow, 1981, 243 p. (in Russian).
63Pham Huu Sach, A support principle for a discrete inclusion with vector-valued criterion function. Acta Math. Vietnam. 4 (1979), 64 - 87.
64Pham Huu Sach, Vector optimization theory of set-valued convex systems. Acta Math. Vietnam. 4 (1979), 105 - 112 (in Russian).
65Pham Huu Sach, Extremum conditions in linear abstract problems. Revue roumaine Math. Pures Appl. 23 (1978), 869 - 886 (in Russian).
66Pham Huu Sach, A support principle for a general extremum problem. Z. Vycisl. Mat. i Mat. Fiz. 18 (1978), 338 - 350 (in Russian).
67Pham Huu Sach, Theory of set-valued abstract processes. Acta Math. Vietnam. 1 (1976), 80 - 103 (in Russian).
68Pham Huu Sach, Invariance and controlllability in some linear processes. Avtomatika i Telemekhanika 1976, 26 - 35 (in Russian).
69Pham Huu Sach, Invariance and controlllability in linear abstract processes. Kibernetika 1976, 103 - 109 (in Russian).
70Pham Huu Sach, On the control theory of processes given by set valued maps. Kibernetika 1976, 107 - 116 (in Russian).
71Pham Huu Sach, Controllability in set-valued processes. Differ. Uravn. 12 (1976), 484 - 493 (in Russian).
72Pham Huu Sach, A support principle for discrete processes. Differ. Uravn. 11 (1975), 1485 - 1496 (in Russian).
73Pham Huu Sach, Invariance for linear abstract processes. Z. Vycisl. Mat. i Mat. Fiz. 14 (1974), 1104 - 1117 (in Russian).
74Pham Huu Sach, On invariance in linear discrete process. Avtomatika i Telemekhanika 1973, 146 - 150 (in Russian).
75Pham Huu Sach, Optimal control for discrete systems. Ph. D. Thesis, Moscow 1970, 102 p. (in Russian).
76Pham Huu Sach, On optimal control for discrete systems with time lag. Avtomatika i Telemekhanika 1970, 40 - 49 (in Russian).
77Pham Huu Sach, Singular controls for discrete systems. Z. Vycisl. Mat. i Mat. Fiz. 10 (1970), 857 - 867 (in Russian).
78Pham Huu Sach, On the optimal control theory for discrete processes. Z. Vycisi. Mat. i Mat. Fiz. 10 (1970), 607 - 620 (in Russian).
79Pham Huu Sach, On optimal control for discrete processes. Avtomatika i Telemekhanika 1968, 78 - 86 (in Russian).