Thông tin nhà nghiên cứu KH&CN

Differential stability in convex optimization via generalized polyhedrality

On some incremental algorithms for the minimum sum-of-squares clustering problem. Part 1: Ordin and Bagirov's incremental algorithm

Convexity of sets and functions via second-order subdifferentials

Qualitative properties of the minimum sum-of-squares clustering problem

On some incremental algorithms for the minimum sum-of-squares clustering problem. Part 2: Incremental DC algorithms

Geoffrion's proper efficiency in linear fractional vector optimization with unbounded constraint sets

Optimal processes in a parametric optimal economic growth model

A representation of generalized convex polyhedra and applications

Analyzing a maximum principle for finite horizon state constrained problems via parametric examples. Part 1: Problems with unilateral state constraints

Differential stability of a class of convex optimal control problems

The Borwein proper efficiency in linear fractional vector optimization

Structural convexity and ravines of quadratic functions

On the solution existence for prox-regular perturbed sweeping processes

Analyzing a maximum principle for finite horizon state constrained problems via parametric examples. Part 2: Problems with bilateral state constraints,

New results on proper efficiency for a class of vector optimization problems

Optimal economic growth models with nonlinear utility functions

Optimality conditions based on the Fréchet second-order subdifferential

A new class of vector optimization problems with linear fractional objective criteria

The stationary point set map in general parametric optimization problems

Two optimal value functions in parametric conic linear programming

Improperly efficient solutions in a class of vector optimization problems

Relationships between polyhedral convex sets and generalized polyhedral convex sets

Global solutions of the multi-source Weber problem

Proper efficiency in linear fractional vector optimization via Benson’s characterization

Nonconvex sweeping processes with velocity constraints: well-posedness and insights

Fréchet second-order subdifferentials of the Lagrangian function and optimality conditions

Some qualitative properties of matrix two-person games

Ravines of quadratic functions

Local error bounds for affine variational inequalities on Hilbert spaces

Characteristic sets and characteristic numbers of matrix two-person games

Optimality conditions for nondifferentiable minimax programs and vector optimization problems

Solution to an open question about optimal economic growth models,

Local solutions of the multi-source Weber problem

A generalization of Hoffman's lemma in Banach spaces and applications

Solving indefinite quadratic programs by dynamical systems: Preliminary investigations

Stability of nonhomogeneous split equality and split feasibility problems with possibly nonconvex constraint sets

Stability analysis of split equality and split feasibility problems

Properties of generalized polyhedral multifunctions

N. D. Yen, X. Q. Yang, Affine variational inequalities on normed spaces, J. Optim. Theory Appl. 178 (2018), No. 1, 36-55. (SCI)

V. T. Huong, J.-C. Yao, N. D. Yen, Differentiability properties of a parametric consumer problem, Journal of Nonlinear and Convex Analysis 19 (2018), no. 7, 1217-1245

D. T. K. Huyen, J.-C. Yao, N. D. Yen, Sensitivity analysis of an optimization problem under total perturbations. Part 2: Robinson stability

D. T. K. Huyen, J.-C. Yao, N. D. Yen, Sensitivity analysis of an optimization problem under total perturbations. Part 1: Lipschitzian stability

D. T. V. An, N. D. Yen, Subdifferential stability analysis for convex optimization problems via multiplier sets, Vietnam J. Math. 46 (2018), no. 2, 365–379.

V. T. Huong, J.-C. Yao, N. D. Yen, On the stability and solution sensitivity of a consumer problem, J. Optim. Theory Appl. 175 (2017), no. 2, 567–589. (SCI)

B. N. Muoi, N. D. Yen, Local stability and local convergence of the basic trust-region method, J. Optim. Theory Appl. 172 (2017), no. 2, 578–593. (SCI)

N. N. Luan, J.-C. Yao, N. D. Yen, On some generalized polyhedral convex constructions, Numer. Funct. Anal. Optim. 39 (2018), no. 5, 537–570. (SCIE)

P. D. Khanh, J.-C. Yao, N. D. Yen, The Mordukhovich subdifferentials and directions of descent. J. Optim. Theory Appl. 172 (2017), no. 2, 518–534. (SCI)

N. T. T. Huong, J.-C. Yao, N. D. Yen, Connectedness structure of the solution sets of vector variational inequalities, Optimization 66 (2017), no. 6, 889–901. (SCIE)

N. H. Chieu, G. M. Lee, N. D. Yen, Second-order subdifferentials and optimality conditions for $C^1$-smooth optimization problems, Appl. Anal. Optim. 1 (2017), no. 3, 461–476.

N. T. Vinh, D. S. Kim, N. N.Tam, N. D. Yen, Duality gap function in infinite dimensional linear programming, J. Math. Anal. Appl. 437 (2016), no. 1, 1–15. (SCI)

N. D. Yen, An introduction to vector variational inequalities and some new results, Acta Math. Vietnam. 41 (2016), no. 3, 505–529.

N. T. V. Hang, N. D. Yen, On the problem of minimizing a difference of polyhedral convex functions under linear constraints, J. Optim. Theory Appl. 171 (2016), no. 2, 617–642. (SCI)

D. T. K. Huyen, N. D. Yen, Coderivatives and the solution map of a linear constraint system, SIAM J. Optim. 26 (2016), no. 2, 986–1007.(SCI)

N. T. T. Huong, J.-C. Yao, N. D. Yen, Polynomial vector variational inequalities under polynomial constraints and applications, SIAM J. Optim. 26 (2016), no. 2, 1060–1071. (SCI)

N. T. T. Huong, N. D. Yen, The adaptive parameter control method and linear vector optimization, Vietnam J. Math. 43 (2015), no. 2, 471–486.

N. T. T. Huong, N. D. Yen, The Pascoletti-Serafini scalarization scheme and linear vector optimization, Journal of Optimization Theory and Applications, Vol. 162 (2014), No. 2, 559–576. (SCI)

N. T. V. Hang, N. D. Yen, Optimality conditions and stability analysis via the Mordukhovich subdifferential, Numerical Functional Analysis and Optimization, Vol. 36 (2015), No. 3, 364–386. (SCIE)

D. T. V. An, N. D. Yen, Differential stability of convex optimization problems under inclusion constraints, Applicable Analysis, Vol. 94 (2015), No. 1, 108–128. (SCIE)

Linear fractional and convex quadratic vector optimization problems. In "Recent Developments in Vector Optimization", Q. H. Ansari and J.-C. Yao, Eds., Springer Verlag, 2012, 297-328.

D. S. Kim, N. N. Tam, and N. D. Yen, Solution existence and stability of quadratically constrained convex quadratic programs, Optimization Letters, Vol. 6 (2012), No. 2, 363-373. (SCIE)

H. N. Tuan, N. D. Yen, Convergence of Pham Dinh-Le Thi's algorithm for the trust-region subproblem, Journal of Global Optimization, Vol. 55 (2013), No. 2, 337-347. (SCI)

N. T. Qui, N. D. Yen, A class of linear generalized equations, SIAM Journal on Optimization, Vol. 24 (2014), No. 1, 210-231. (SCI)

G. M. Lee, N. D. Yen, Coderivatives of a Karush-Kuhn-Tucker point set map and applications, Nonlinear Analysis: Theory, Methods and Applications, Vol. 95 (2014), 191-201. (SCI)

N. T. T. Huong, P. D. Khanh, and N. D. Yen, Multivalued Tikhonov trajectories of general affine variational inequalities, Journal of Optimization Theory and Applications, Vol. 158 (2013), No.1, 85-96. (SCI)

N. T. T. Huong, T. N. Hoa, T. D. Phuong, and N. D. Yen, A property of bicriteria affine vector variational inequalities, Applicable Analysis, Vol. 91 (2012), No. 10, 1867-1879. (SCIE)

G. M. Lee, N. N. Tam, and N. D. Yen, Stability of linear-quadratic minimization over Euclidean balls, Vol. 22 (2012), No. 3, 936-952.

N. V. Tuyen, N. D. Yen, On the concept of generalized order optimality, Nonlinear Analysis Vol. 75 (2012) No. 3, 1592-1601. (SCI)

N. Q. Huy, N. D. Yen, Minimax variational inequalities, Acta Mathematica Vietnamica Vol. 36 (2011), 265–281

N. T. Qui, N. D. Yen, Some properties of polyhedral multifunctions, Journal of Nonlinear and Convex Analysis Vol. 12 (2011) No. 3, 483-499. (SCIE)

G. M. Lee, N. D. Yen, Frechet and normal coderivatives of implicit multifunctions, Applicable Analysis Vol. 90 (2011), 1011-1027. (SCIE)

J.-C. Yao, N. D. Yen, Parametric variational system with a smooth-boundary constraint set. In ``Variational Analysis and generalized Differentiation in Optimization and Control. In honor of B. S. Mordukhovich", R. Burachik and J.-C. Yao, Eds., Springer Verlag, Series ``Optimization and Its Applications", Vol. 47, 2010, 205-221

H. A. Le Thi, T. Pham Dinh, and N. D. Yen, Properties of two DC algorithms in quadratic programming, Journal of Global Optimization Vol. 49 (2011), 481-495. (SCI)

N. H. Chieu, T. D. Chuong, J.-C. Yao, and N. D. Yen, Characterizing convexity of a function by its Frechet and limiting second-order subdifferentials, Set-Valued and Variational Analysis Vol. 19 (2011), 75-96. (SCIE)

N. D. Yen, J.-C. Yao, Monotone affine vector variational inequalities, Optimization Vol. 60 (2011), 53-68. (SCIE)

T. D. Chuong, J.-C. Yao, N. D. Yen, Further results on the lower semicontinuity of efficient point multifunctions, Pacific Journal of Optimization, Vol. 6 (2010), 405-422. (SCIE)

X. Q. Yang, N. D. Yen, Structure and weak sharp minimum of the Pareto solution set for piecewise linear multiobjective optimization, Journal of Optimization Theory and Applications Vol. 147 (2010), 113-124. (SCI)

N. H. Chieu, J.-C. Yao, N. D. Yen, Relationships between Robinson robust stability and Lipschitz-like behavior of implicit multifunctions, Nonlinear Analysis: Theory, Methods and Applications Vol. 72 (2010), 3594-3601. (SCI)

G. M. Lee, N. N. Tam, N. D. Yen, Stability of a class of quadratic programs with a conic constraint, Taiwanese Journal of Mathematics Vol. 13 (2009), 1823-1836. (SCI)

N. D. Yen, Parametric optimization problems and parametric variational inequalities, Vietnam Journal of Mathematics Vol. 37 (2009), 191-223

J.-C. Yao, N. D. Yen, Coderivative calculation related to a parametric affine variational inequality, Part 2: Applications, Pacific Journal of Optimization Vol. 5 (2009), 493-506. (SCIE)

J.-C. Yao, N. D. Yen, Coderivative calculation related to a parametric affine variational inequality, Part 1: Basic calculations, Acta Mathematica Vietnamica Vol. 34 (2009), 157-172

N. D. Yen, J.-C. Yao, Pointbased sufficient conditions for metric regularity of implicit multifunctions, Nonlinear Analysis: Theory, Methods and Applications Vol. 70 (2009), 2806-2815. (SCI)

B. S. Mordukhovich, N. M. Nam, and N. D. Yen, Subgradients of marginal functions in parametric mathematical programming, Mathematical Programming Ser. B, Vol. 116 (2009), 369-396. (SCI)

N. D. Yen, J.-C. Yao, Vertical tangent vectors to the graph of a multifunction, Taiwanese Journal of Mathematics Vol. 12 (2008), 1293-1302. (SCI)

N. N. Tam, J.-C. Yao, and N. D. Yen, Solution methods for pseudomonotone variational inequalities, Journal of Optimization Theory and Applications Vol. 138 (2008), 253-273. (SCI)

B. T. Kien, J.-C. Yao, N. D. Yen, On the solution existence of pseudomonotone variational inequalities, Journal of Global Optimization Vol. 41 (2008), 135-145. (SCI)

N. D. Yen, J.-C. Yao, B. T. Kien, Covering properties at positive-order rates of multifunctions and some related topics, Journal of Mathematical Analysis and Applications Vol. 338 (2008), 467-478. (SCI)

G. M. Lee, N. N. Tam, N. D. Yen, Normal coderivative for multifunctions and implicit function theorems, Journal of Mathematical Analysis and Applications Vol. 338 (2008), 11-22. (SCI)

G. M. Lee, N. N. Tam, N. D. Yen, Continuity of the solution map in parametric affine variational inequalities, Set-Valued Analysis Vol. 15 (2007), 105-123. (SCIE)

N. M. Nam, N. D. Yen, Relationships between approximate Jacobians and coderivatives, Journal of Nonlinear and Convex Analysis Vol. 8 (2007), 121-133. (SCIE)

T. N. Hoa, N. Q. Huy, T. D. Phuong, N. D. Yen, Unbounded components in the solution sets of strictly quasiconcave vector maximization problems, Journal of Global Optimization Vol. 37 (2007), No. 1, 1–10. (SCI)

G. M. Lee, N. N. Tam, N. D. Yen, Continuity of the solution map in quadratic programs under linear perturbations, Journal of Optimization Theory and Applications Vol. 129 (2006), 415-423. (SCI)

G. M. Lee, N. N. Tam, N. D. Yen, Lower semicontinuity of the KKT point set in quadratic programs under linear perturbations, Vietnam Journal of Mathematics Vol. 34 (2006), 411-422

B. S. Mordukhovich, N. M. Nam, N. D. Yen, Fréchet subdifferential calculus and optimality conditions in nondifferentiable programming, Optimization Vol. 55 (2006), 685-708. (SCIE)

T. N. Hoa, T. D. Phuong, N. D. Yen, On the parametric affine variational inequality approach to linear fractional vector optimization problems, Vietnam Journal of Mathematics Vol. 33 (2005), 477-489

T. N. Hoa, T. D. Phuong, N. D. Yen, Linear fractional vector optimization problems with many components in the solution sets, Journal of Industrial and Management Optimization Vol. 1 (2005), 477-486. (SCIE)

T. N. Hoa, T. D. Phuong, N. D. Yen, Bicriteria strictly quasiconcave maximization on noncompact sets, Nonlinear Analysis Forum Vol. 10 (2005), 137-144

G. M. Lee, N. N. Tam, N. D. Yen, On the optimal value function of a linearly perturbed quadratic program, Journal of Global Optimization Vol. 32 (2005), 119-134. (SCI)

N. Q. Huy, N. D. Yen, Contractibility of the solution sets in strictly quasiconcave vector maximization on noncompact domains, Journal of Optimization Theory and Applications Vol. 124 (2005), 615-635. (SCI)

N. Đ. Yên, “Giáo trình Giải tích đa trị”, 218 tr.(Bộ sách Toán cao cấp - Viện Toán học), NXB Khoa học tự nhiên và Công nghệ, Hà Nội, 2007

G. M. Lee, N. N. Tam, N. D. Yen, “Quadratic Programming and Affine Variational Inequalities: A Qualitative Study”, 345 p.+xiv, Hardcover, ISBN: 0-387-24277-5, Springer Verlag, New York, 2005

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