Nguyen Xuan Tan
Full Professor, Doctor of Science
Department of Mathematical Analysis

Address
Office: Building A6, Room 509
Tel: +84 (0)24 38361121/509
Email: nxtan AT math.ac.vn
Education
2007: Professor in Vietnam
1997: Associate Professor in Vietnam
19821983: Dr. degree at the Academy of Sciences of the German Democratic Republic
19831987: Dr.Sci. degree at the Academy of Sciences of the German Democratic Republic
PUBLICATIONS
List of publications in Mathscinet
List of recent publications
1  Nguyen Xuan Tan, Nguyen Quynh Hoa, Nguyen Ba Minh, QuasiEquilibrium Problems and Fixed Point Theorems of the Sum of l.s.c. and u.s.c. Mappings, Minimax Theory and its Applications, 3 (2018), 57 72, Scopus. 
2  Nguyen Xuan Tan, Quasiequilibrium problems and fixed point theorems of separately l.s.c and u.s.c mappings, Numerical Functional Analysis and Optimization, 39 (2018), 233255, SCI(E); Scopus. 
3  Nguyen Xuan Tan, Nguyen Quynh Hoa, Quasiequilibrium Problems and Fixed Point Theorems of the Product Mapping of Lower and Upper Semicontinuous Mappings, Journal of Advances in Applied Mathematics, 2 (2017), 89100. 
4  Nguyen Xuan Tan, Nguyen Quynh Hoa, Quasiequilibrium problems and fixed point theorems of l.s.c mappings, Advance in Nonlinear Variational Inequalities 19 (2016), 5263. 
5  Nguyen Thi Quynh Anh, Nguyen Xuan Tan, On the existence of solutions to mixed Pareto quasivariational inclusion problems. Adv. Nonlinear Var. Inequal. 16 (2013), 1–22. 
6  Nguyen Xuan Tan, Truong Thi Thuy Duong, On the existence of solutions to generalized quasiequilibrium problems, Journal of Global Optimization, 52 (2012), 711  728, SCI(E); Scopus. 
7  Nguyen Xuan Tan, Bui The Hung, On the existence of solutions to Pareto and weak quasivariational inclusion problems, Adv. Nonlinear Var. Inequal, 15 (2012), 1  16, Scopus. 
8  Nguyen Xuan Tan, B. T. Hung, On the existence of solutions to generalized quasiequilibrium problems, Advances in Nonlinear Variational Inequalities 14 (2011), 1  16, Scopus. 
9  Nguyen Xuan Tan, T. T. T. Duong, On the existence of solutions to generalized quasiequilibrium problems of type II and related problems, Acta Mathematica Vietnamica 36 (2011), 231  248 , Scopus. 
10  Nguyen Xuan Tan, N. T. Q. Anh, Generalized quasiequilibrium problems of type II and their applications, Vietnam Journal of Mathematics 39 (2011), 191 216, Scopus. 
11  Nguyen Xuan Tan, T. T. T. Duong, On the generalized quasiequilibrium problem of type I and related problem, Advances in Nonlinear Variational Inequalities 13 (2010), 29  47. 
12  Nguyen Xuan Tan, L.J. Lin, Quasiequilibrium inclusion problems of the BlumOettli type and related problems, In: Optimization and Optimal Control, Springer Optimization and Its Applications 2010, 05119 2010. 
13  Nguyen Xuan Tan, T. T. T. Duong, On the generalized quasiequilibrium problem of type I and related problems, Advances in Nonlinear Variational Inequalities 13 (2010), 29  47, Scopus. 
14  Nguyen Xuan Tan, Lin Lai Jiu, Quasiequilibrium inclusion problems of the BlumOettli type and related problems, Acta Math. Vietnamica, 34 (2009), 111123. 
15  LaiJiu Lin, Nguyen Xuan Tan, On quasivariational inclusion problems of type I and related problems, J. Global Optim. 39 (2007), 393  407. 
16  N. B. Minh, Nguyen Xuan Tan, On the existence of solutions of quasiequilibrium problems with constraints, Math. Methods Oper. Res. 64 (2006), 17  31. 
17  LaiJiu Lin, Nguyen Xuan Tan, On systems of quasivariational inclusion problems of type I and related problems, Vietnam J. Math. 34 (2006), 423  440. 
18  Nguyen Xuan Tan, Nguyen Ba Minh, On the existence of solutions of quasivariational inclusion problems of Stampacchia, Adv. Nonlinear Var. Inequal. 8 (2005), 1  16. 
19  Dinh The Luc, Nguyen Xuan Tan, Existence conditions in varation inclusions with constraints. Optimization 53 (2004), 505  515. 
20  Nguyen Xuan Tan, On the existence of solutions of quasivariational inclusion problems, J. Optim. Theory Appl. 123 (2004), 619  638. 
21  Nguyen Xuan Tan, On the existence of solution to systems of vector quasioptimization problems, Math. Meth. Oper. Res. 60 (2004), 53  71. 
22  Nguyen Ba Minh, Nguyen Xuan Tan, On the CLipschitz continuities and Capproximations of multivalued mappings. Vietnam J. Math. 30 (2002), 343  363. 
23  Nguyen Xuan Tan, On the existence of solutions of equilibrium and quasiequilibrium problems. In: Optimization in economics, finance and industry (Verona, 2001), 61  82, Datanova, Milan, 2002 
24  Nguyen Ba Minh, Nguyen Xuan Tan, On the continuity of vector convex multivalued functions. Acta Math. Vietnam. 27 (2002) 13  25. 
25  Angelo Guerraggio, Nguyen Xuan Tan, On general vector quasioptimization problems. Math. Methods Oper. Res. 55 (2002), 347  358. 
26  Nguyen Ba Minh, Nguyen Xuan Tan, Some sufficient conditions for the existence of equilibrium points concerning multivalued mappings. Vietnam J. Math. 28 (2000), N0 4, 295  310. 
27  Nguyen Xuan Tan, Phan Nhat Tinh, On conjugate maps and directional derivatives of convex vector functions. Acta Math. Vietnam. 25 (2000), 315  345. 
28  Nguyen Xuan Tan, P. N. Tinh, On the existence of equilibrium points of vector functions. Numer. Funct. Anal. Optim. 19 (1998), 141  156. 
29  Phan Nhat Tinh, Dinh The Luc, Nguyen Xuan Tan, Subdifferential characterizations of quasiconvex and convex vector functions. Vietnam J. Math. 26 (1998), 53  69. 
30  Dinh The Luc, Nguyen Xuan Tan, Phan Nhat Tinh, Convex vector functions and their subdifferentials. Acta Math. Vietnam. 23 (1998), 107  127. 
31  D. T. Luc, Pham Huy Dien, Nguyen Xuan Tan, Ta Duy Phuong, Giải tích toán học  các nguyên lý cơ bản & tính toán thực hành. NXB Giáo dục, Hanoi, 1998 (in Vietnamese). 
32  K. Schneider, Nguyen Xuan Tan, Some results on reduction principle for bifurcation and Hopf bifurcation of equations concerning Lipschitz continouos mappings, Acta Math. Vietnam. 22 (1997), 427  465. 
33  Nguyen Xuan Tan, Bifurcation and Hopf bifurcation at multiple eigenvalues for equations with Lipchitz mappings. Acta Math. Vietnam. 20 (1995), 279  311. 
34  Nguyen Xuan Tan, P. N. V. Tu, Some new Hopf bifurcation theorems at simple eigenvalues. Appl. Anal. 53 (1994), 197  220. 
35  Nguyen Xuan Tan, Some bifurcation results and their applications to axisymmetric buckled states of a thin spherical shell. Math. Methods in Appl. Sci. 16 (1993), 13  33. 
36  Nguyen Xuan Tan, Birfucation from the essential spectrum of equations in Banach spaces. Tạp chí Toán học 21 (1993), 63  68. 
37  Nguyen Xuan Tan, Hopf bifurcation at a double eigenvalues. Acta Math. Vietnam. 18 (1993), 107  125. 
38  Nguyen Xuan Tan, Local bifurcation from characteristic values with finite multiplicity and its application to axisymmetric buckled states of a thin spherical shell. Appl. Anal. 46 (1992), 259–286. 
39  Nashed. M. Z, Nguyen Xuan Tan, Nontrivial solution from simple eigenvalues and their stability. Diff. Integ. Equations 5 (1992), 495  508. 
40  Nguyen Xuan Tan, N.W. Bazley, On the primary and secondary bifurcation of equation involving scalar nonlinearities. Numer. Funct. Anal. Optim. 123 (1992), 355  367. 
41  N. W. Bazley, Nguyen Xuan Tan, On the primary and secondary bifurcations of equations involving scalar nonlinearities. Inter. Series of Numer. Math. 97 (1991), 53  57. 
42  Nguyen Xuan Tan, A combination method for local bifurcation from characteristic values with finite multiplicity. Math. Nachr. 152 (1991), 189  202. 
43  Nguyen Xuan Tan, Bifurcation from characteristic values with finite multiplicity and applications to partial differential equation. Acta Math. Vietnam. 15 (1990), 99  122. 
44  Nguyen Xuan Tan, Bifurcation points of equations involving multilinear functions with applications to elliptic differential equations. Numer. Funct. Anal. Optim. 11 (1990), 181  199. 
45  Nguyen Xuan Tan, Bifurcation problems for equations involving Lipschitz continuous mappings. J. Math. Anal. Appl. 153 (1990), 22  42. 
46  Nguyen Xuan Tan, An iteration method for bifurcation problems involving Fredholm mapping. Math. Nachr. 148 (1990), 209  228. 
47  Nguyen Xuan Tan, Bifurcation from degenerate solutions for equations involving Lipschitz continuous mappings. Numer. Funct. Anal. Optim. 10 (1989), 787  805. 
48  Nguyen Xuan Tan, Bifurcation points of equations involving scalar nonlinear mappings in Banach spaces. Numer. Funct. Anal. Optim. 10 (1989), 1039  1052. 
49  Nguyen Xuan Tan, Bifurcation from characteristic values for equations concerning Fredholm mappings with applications to partial differential equations II. Application. Math. Nachr. 139 (1988), 7  25. 
50  Nguyen Xuan Tan, Bifurcation from characteristic values for equations concerning Fredholm mappings with applications to partial differential equations I. Theory. Math. Nachr. 137 (1988), 175  196. 
51  Nguyen Xuan Tan, An analytical study of bifurcation problems for equations involving Fredholm mappings. Proc. of the Royal Soc. of Edinburgh 110 (1988), 199  225. 
52  Nguyen Xuan Tan, Einige Beitrọge zur Bifurkationstheorie. Dr. Sc. Thesis, Berlin, 1987. 
53  Nguyen Xuan Tan, An analytical approach to bifurcation problems with applications to partial differential equations. Math. Nachr. 131 (1987), 251  285. 
54  Nguyen Xuan Tan, Some applications of degree theory to bifurcation problems. Z. Anal. Anwendungen 4 (1986), 347  366. 
55  Nguyen Xuan Tan, On the existence of positive eigenvalues for a triplet of nonlinear and noncompact mappings. Math. Nachr. 128 (1986), 181  196. 
56  Nguyen Xuan Tan, Generalized probabilistic metric space and fixed point theorems. Math. Nachr. 126 (1986), 205  218. 
57  Nguyen Xuan Tan, Measurable solution of mathematical programming problems. Math. Nachr. 126 (1986), 275  279. 
58  Nguyen Xuan Tan, Randon quasivariational inequality. Math. Nachr. 125 (1986), 319  328. 
59  Nguyen Xuan Tan, BanachSteinhaus principle for convex multivalued mappings. Math. Nachr. 126 (1986), 45  54. 
60  Nguyen Xuan Tan, Quasivariational inequality in topological linear locally convex Hausdorff spaces. Math. Nachr. 122 (1985), 231  245. 
61  Nguyen Xuan Tan, Some results on multivalued analysis and its applications. Ph.D. Thesis, Berlin, 1983. 
62  Nguyen Xuan Tan, On the continuity of multivalued mappings and the stability of fixed points. Acta Math. Vietnam. 7 (1982), 201  205. 
63  Nguyen Xuan Tan, BanachSteinhaus theorems for multivalued mappings. Math. Nachr., 102 (1981), 157  169. 
64  Nguyen Xuan Tan, Some fixed point theorems for multivalued mappings. Acta Math. Vietnam. 5 (1980), 100  105. 
65  Nguyen Xuan Tan, Dinh The Luc, BanachSteinhaus theorem for multivalued mappings. Acta Math. Vietnam. 5 (1980), 161  168. 
Highlights
22/03/19, Conference: CIMPA  IMH RESEARCH SCHOOL Hyperplane Arrangements: Recent Advances and Open Problems 
22/03/19, Colloquium Lecture: Selfavoiding walk, spin systems, and renormalization 
22/03/19, Colloquium Lecture: How accurate are solutions of optimal control problems? 
25/03/19, Conference: Trường “Inverse Problems and Deep Learning (Bài toán ngược và học sâu)” 
02/04/19, Conference: International Conference on Applied Probability and Statistics (CAPS 2019) 
18/04/19, Conference: 17th Workshop on Optimization and Scientific Computing 
27/05/19, Conference: Quantum Topology and Hyperbolic Geometry 
02/06/19, Conference: Workshop "Tôpô và Hình học" 