Truong Xuan Duc Ha
Associate Professor, Doctor (Associate member)

Cộng tác viên
Research interests: Optimality conditions for Set-valued Optimization Problem


Address
Office: Building A5, Room 211
Tel: +84 024 37563474 / 108
Email: txdha AT math.ac.vn
Personal homepage: http://vie.math.ac.vn/~txdha/

Education and academic degrees:

  • 1983: Ph.D., Voronezh State Pedagogical Institute, former USSR.
  • 1979: B.Sc., Voronezh State Pedagogical Institute, former USSR.
  • 2006: Associate Professor


Research areas: Optimization, Nonsmooth Analysis

PUBLICATIONS

List of publications in MathSciNet


List of recent publications
1Truong Xuan Duc Ha, Johannes Jahn, Characterizations of strictly convex sets by the uniqueness of support points,  Optimization, 68 (2019), 1321-1335, SCI(-E), Scopus.
2Truong Xuan Duc Ha, A Hausdorff-type distance, a directional derivative of a set-valued map and applications in set optimization, Optimization, 67 (2018), 1031-1050, SCI(-E); Scopus.
3Truong Xuan Duc Ha, Slopes, Error Bounds and Weak Sharp Pareto Minima of a Vector-Valued Map, Journal of Optimization Theory and Applications, 176 (2018), 634–649, SCI(-E); Scopus.
4Tiến Sơn Phạm, Truong Xuan Duc Ha, Jen-Chih Yao, The global weak sharp minima with explicit exponents in polynomial vector optimization problems, Positivity, 22 (2018), 219–244,SCI(-E); Scopus.
5Truong Xuan Duc Ha, Johannes Jahn, Properties of Bishop-Phelps cones. Journal of Nonlinear and Convex Analysis 18 (2017), 415–429, SCI(-E); Scopus.
6Truong Xuan Duc Ha, A remark on the lower semicontinuity assumption in the Ekeland variational principle, Optimization, 65 (2016), 1781-1789, SCI(-E); Scopus.
7Truong Xuan Duc Ha, G.Eichfelder, Optimality conditions for vector optimization problems with variable ordering structures,  Optimization, 62 (2013), 597 - 627, SCI(-E); Scopus.
8Truong Xuan Duc Ha, Optimality conditions for various efficient solutions involving coderivatives:from set-valued optimization problems to set-valued equilibrium problems,  Nonlinear Analysis: Theory, Methods & Applications, 75 (2012), 1305–1323. , SCI(-E); Scopus.
9Truong Xuan Duc Ha, The Fermat rule and Lagrange multiplier rule for various efficient solutions of set-valued optimization problems expressed in terms of coderivatives,  Springer, ISBN 978-3-642-21113-3
10Truong Xuan Duc Ha, J. Jahn, New order relations in set optimization, Journal of Optimization Theory and Applications 148 (2011), 209 -- 236, SCI(-E); Scopus.
11Truong Xuan Duc Ha, Optimality conditions for several types of efficient solutions of set-valued optimization problems, In:  Nonlinear Analysis and Variational Problems, Springer (2010), 305-324.
12Truong Xuan Duc Ha, The Ekeland variational principle for Henig proper minimizers and super minimizers, Journal of Mathematical Analysis and Applications, 364 (2010), 156 -- 170, SCI(-E); Scopus.
13Truong Xuan Duc Ha, Variants of the Ekeland variational principle for a set-valued map involving the Clarke normal cone, J. Math. Anal. Appl. 316 (2006), 346 - 356.
14Truong Xuan Duc Ha, Lagrange multipliers for set-valued optimization problems associated with coderivatives, J. Math. Anal. Appl. 311 (2005), 647 - 663.
15Truong Xuan Duc Ha, Lagrange multipliers for set-valued optimization problems associated with coderivatives, J. Math. Anal. Appl. 311 (2005), 647 - 663.
16Truong Xuan Duc Ha, Some variants of the Ekeland variational principle for a set-valued map, J. Optim. Theory Appl. 124 (2005), 187 - 206.
17Truong Xuan Duc Ha, The Ekeland variational principle for set-valued maps involving coderivatives, J. Math. Anal. Appl. 286 (2003), 509 - 523.
18Truong Xuan Duc Ha, Demicontinuity, generalized convexity and loose saddle points of set-valued maps, Optimization 51 (2002), 293 - 308.
19Le Van Cuong, Truong Xuan Duc Ha, Asset market equilibrium in Lp spaces with separable utilities. J. Math. Econom. 36 (2001),  241 - 254.
20Truong Xuan Duc Ha, Existence and density results for proper efficiency in cone compact sets,  J. Optim. Theory Appl. 111 (2001), 173 - 194.
21Benoit Truong- Van, Truong Xuan Duc Ha, Existence results for viability problem associated to nonconvex stochastic differentiable inclusions. Stochastic Anal. Appl. 17 (1999), 667 - 685.
22Truong Xuan Duc Ha, Existence of viable solutions of nonconvex differential inclusion. Atti. Mat. Fis. Univ..Modena XLVII, 2 (1999), 457 - 471.
23Benoit Truong-Van, Truong Xuan Duc Ha, Existence of viable solutions for a nonconvex stochastic differential inclusions. Discussiones Math. Differential Inclusions 17 (1997), 107 - 131.
24Truong Xuan Duc Ha, Cone admitting strictly positive functionals and scalarization of some vector optimization problems. J. Optim. Theory Appl. 93 (1997), 355 - 372.
25Daishi Kuroiwa, Tamaki Tanaka, Truong Xuan Duc Ha, On cone convexity of set-valued maps. Nonlinear Analysis: Theory, Methods, Applications, Proceeding of the Second World Congress of Nonlinear Analyst (Athens, 10-17 July 1996), 30 (1997),1487 - 1496.
26Truong Xuan Duc Ha, Existence of viable solutions of nonconvex-valued differential inclusions in Banach spaces. Portugal. Math. 52 (1995), 241 - 250.
27Truong Xuan Duc Ha, Manuel D. P. Monteiro Marques, Nonconvex second order differential inclusions with memory. Set-Valued Analysis 3 (1995), N0 1, 71 - 86.
28Truong Xuan Duc Ha, On the existence of efficient points in locally convex spaces. J. Global Optim. 4 (1994), 265 - 278.
29Truong Xuan Duc Ha, A note on a class of cones ensuring the existence of efficient points in bounded complete sets. Optimization 31 (1994),141 - 152.
30Truong Xuan Duc Ha, Differential inclusions governed by convex and nonconvex perturbations of a sweeping process. Bull. Italian Math. Soc. 8 (1994), 327 - 354.
31C. Castaing, Truong Xuan Duc Ha, M. Valadier, Evolution equations governed by the sweeping process. Set-Valued Analysis 1 (1993), 109 - 139.
32Truong Xuan Duc Ha, Nonconvex perturbation of differential inclusions with memory. Acta Math. Vietnam. 17 (1992), 57 - 62.
33J. Saint-Pierre, Truong Xuan Duc Ha, Integration of the Jacobian of a locally Lipschitz function. Sem. Convex Anal. Montpellier 2 (1989), 1 - 18.
34Truong Xuan Duc Ha, Banach spaces of d.c. functions and quasidifferentiable functions. Acta Math. Vietnam. 3 (1988), 55 - 70.
35Truong Xuan Duc Ha, The Sard's theorem for a class of locally Lipschitz mappings. Sem. Convex Anal. Montpellier 9 (1987), 1 - 14.
36Truong Xuan Duc Ha, Behavior of positive eigenvectors of concave not completely continuous operators at the boundary of positive spectrum. Funct. Anal. Ulianovsk 16 (1982),113 - 119 (in Russian).
37Truong Xuan Duc Ha, I. A. Bakhtin, On the existence of positive eigenvectors for a class of concave operators. Funct. Anal. Ulianovsk 15 (1981), 33 - 43 (in Russian).
38Truong Xuan Duc Ha, I. A. Bakhtin , On the convergence of the successive method in the theory of nonlinear equations with concave operators. Functional Analysis, Ulianovsk 14 (1980), 47 - 55 (in Russian).
Preprints
1IMH20170403, Truong Xuan Duc Ha, A Hausdorff-type distance, a directional derivative of a set-valued map and applications in set optimization