Research

PUBLICATIONS

• Papers

1. Variational and strong variational convexity in infinite-dimensional variational analysis

(with P. D. Khanh, B. S. Mordukhovich and V. T. Phat) SIAM J. Optim. 34(3) (2024),

pp. 2756–2787.

2. Relationships between global and local monotonicity of operators

(with P. D. Khanh, B. S. Mordukhovich and J. E. Martinéz-Legaz) J. Convex. Anal. 32(2) (2025), pp. 431–446.

3. Second-order subdifferential optimality conditions in nonsmooth optimization

(with P. D. Khanh, B. S. Mordukhovich and V. T. Phat) SIAM J. Optim. 35(2) (2025), pp. 678–711.

4. Local maximal monotonicity in variational analysis and optimization

(with P. D. Khanh, B. S. Mordukhovich and V. T. Phat) Math. Oper. Res. (2025), DOI:10.1287/moor.2023.0270.

5. Local minimizers of nonconvex functions in Banach spaces via Moreau envelopes

(with P. D. Khanh, B. S. Mordukhovich and V. T. Phat) Vietnam J. Math. (2025), DOI:10.1007/s10013-025-00739-w 

6. Lipschitz modulus of convex functions via function values

(with P. D. Khanh, V. T. Phat and L. D. Viet) Optim. Letters (2025), DOI:10.1007/s11590-025-02218-0 

• Book chapters

7. Variational convexity of functions in Banach spaces

(with P. D. Khanh, B. S. Mordukhovich and V. T. Phat) Functional Analysis and Continuous Optimization, J. M. Amigó, M. J. Cánovas et al. (eds.),

Springer Proceedings in Mathematics and Statistics, 424, 237–260, Springer, Cham, Switzerland, 2023.

• Preprints

8. Nonsmooth Newton methods with effective subspaces for polyhedral regularization

(with T. T. A. Nghia and N. V. Vo), arXiv:2511.16514, 2025.

9. Inexact DC algorithms in Hilbert spaces with applications to PDE-constrained optimization

(with P. D. Khanh, B. S. Mordukhovich, D. B. Tran and N. V. Vo), arXiv:2601.06622, 2026.

10. Algebraic Farkas lemma and strong duality for perturbed conic linear programming

(with P. D. Khanh and T. H. Mo), arXiv:2601.10390, 2026.