Truong Xuan Duc Ha

Publications

1. (with J. Jahn) Characterization of strictly convex sets by the uniqueness of support points, Optimization, (2018), https://doi.org/10.1080/02331934.2018.1476513.
2. A Hausdorf-type distance, a directional derivative of a set-valued map and

applications in set optimization (2018), https://doi.org/10.1080/02331934.2017.1420186.
3. Slopes, error bound and weak sharp Pareto minima of a vector-valued map, Optim. Theory Appl. (2018) 176:634–649.
4. (with P.T.Son, J.-C. Yao) The global weak sharp minima with explicit exponents in polynomial vector optimization problems, Positivity (2018), 22: 219–244.
5. (with J. Jahn) Properties of Bishop-Phelps cones. Nonlinear Convex Anal. 18 (2017), no. 3, 415–429.
6. A remark on the lower semicontinuity assumption in the Ekeland variational principle, Optimization 2016, 65 (10), 1781-1789.
7. Estimates of error bounds for some sets of efficient solutions of a set-valued optimization problem. In: Set optimization and applications—the state of the art, 249–273, Springer Proc. Math. Stat., 151, Springer, Heidelberg, 2015.
8. (with G. Eichfelder) Optimality conditions for vector optimization problems with variable ordering structures, Optimization (2013) Vol. 62, 597-627.
9. Optimality conditions for various efficient solutions involving coderivatives: From set-valued optimization problems to set-valued equilibrium problems, Nonlinear Anal. 75(2012), 1305-1323.
10. The Fermat rule and Lagrange multiplier rule for various efficient solutions of set-valued optimization problems expressed in terms of coderivatives, in: Recent Developments in Vector Optimization, Eds. Q.H.Ansari, J.-C. Yao, Springer, (2012) 417-466.
11. (with J. Jahn), New order relations in Set Optimization, J. Optim. Theory Appl. (2011), 148: 209–236.
12. The Ekeland variational principle for Henig proper minimizers and super minimizers. J. Math. Anal. Appl.364 (2010), no. 1, 156-170.

13. Optimality conditions for several types of efficient solutions of set-valued optimization problems, in: Nonlinear Analysis and Variational Problems, Eds. P. Pardalos, Th.M.Rassias, A.A. Khan, Springer, (2010) 305-324.

14. Variants of the Ekeland variational principle for a set-valued map involving the Clarke normal cone. J. Math. Anal. Appl. 316 (2006), no. 1, 346-356

15. Lagrange multipliers for set-valued optimization problems associated with coderivatives. J. Math. Anal. Appl. 311 (2005), no. 2, 647-663.
16. Some variants of the Ekeland variational principle for a set-valued map. J. Optim. Theory Appl. 124(2005), no. 1, 187-206.

17. The Ekeland variational principle for set-valued maps involving coderivatives. J. Math. Anal. Appl. 286(2003), no. 2, 509-523.
18. Demicontinuity, generalized convexity and loose saddle points of set-valued maps. Optimization 51(2002), no. 2, 293-308.

19. (with Le Van, Cuong) Asset market equilibrium in $L^p$ spaces with separable utilities. J. Math. Econom. 36 (2001), no. 3, 241-254.

20. Existence and density results for proper efficiency in cone compact sets. J. Optim. Theory Appl. 111(2001), no. 1, 173-194.

21. Existence of viable solutions of nonconvex differential inclusions. Atti Sem. Mat. Fis. Univ. Modena 47(1999), no. 2,457-471.
22. (with Truong-Van, B.) Existence results for viability problem associated to nonconvex stochastic differentiable inclusions. Stochastic Anal. Appl. 17 (1999), no. 4, 667-685.

23. (with Truong-Van, B.) Existence of viable solutions for a nonconvex stochastic differential inclusion. Discuss. Math. Differential Incl. 17 (1997), no. 1-2, 107-131.

24. (with Kuroiwa, D., Tanaka, T. ) On cone convexity of set-valued maps. Proceedings of the Second World Congress of Nonlinear Analysts, Part 3 (Athens, 1996). Nonlinear Anal. 30 (1997), no. 3, 1487-1496.

25. Cones admitting strictly positive functionals and scalarization of some vector optimization problems. J. Optim. Theory Appl. 93 (1997), no. 2, 355-372.

26. Existence of viable solutions for nonconvex-valued differential inclusions in Banach spaces. Portugal. Math. 52 (1995), no. 2, 241-250.

27. (with Monteiro Marques, Manuel D.P.) Nonconvex-second-order differential inclusions with memory. Set-Valued Anal. 3 (1995), no. 1, 71-86. 28. A note on a class of cones ensuring the existence of efficient points in bounded complete sets. Optimization 31 (1994), no. 2, 141-152.

29. Differential inclusions governed by convex and nonconvex perturbation of a sweeping process. Boll. Un. Mat. Ital. B (7) 8 (1994), no. 2, 327-354. 30. On the existence of efficient points in locally convex spaces. J. Global Optim. 4 (1994), no. 3, 265-278.

31. (with Castaing, C., Valadier, M.) Evolution equations governed by the sweeping process. Set-Valued Anal. 1 (1993), no. 2, 109-139.

32. Nonconvex perturbation of differential inclusions with memory. Acta Math. Vietnam. 17 (1992), no. 1, 51-65.

33. (with Saint-Pierre, J.) Integration of the Jacobian of a locally Lipschitzian function. Sém. Anal. Convexe19 (1989), Exp. No. 2, 18 pp.

34. Banach spaces of d.c. functions and quasidifferentiable functions. Acta Math. Vietnam. 13 (1988), no. 2,55-70 (1989).

35. The Sard’s theorem for a class of locally Lipschitz mappings. Sém. Anal. Convexe 17 (1987), Exp. No. 9, 13 pp.

36. (with I.A. Bakhtin) On the convergence of the successive method in the theory of nonlinear equations with concave operators, Functional Analysis, Ulianovsk, T.14, 47-55, (1980) (in Russian).

37. (with I.A. Bakhtin) On the existence of positive eigenvectors for a class of concave operators, Functional Analysis, Ulianovsk, T.15, 33-43 (1981) (in Russian).

38. Behavior of positive eigenvectors of concave not completely continuous operators at the boundary of positive spectrum, Functional Analysis, Ulianovsk, T.16,113-119 (1982) (in Russian).