Nguyen Dong Yen
 

 
Department of Numerical Analysis and Scientific Computing,
Institute of Mathematics
Office: Building A5 room 213
Office hours:                 or by appointment

Education
 
  • Dr. Sci., 1999, University of Lodz (Lodz, Poland)
  • Ph.D., 1988, Hanoi Institute of Mathematics (Hanoi, Vietnam) 
  • B. s., 1981, The Belorussian State University (Minsk, Belorus).
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    Permanent address

    Department of Department of Numerical Analysis and Scientific Computing,
    Institute of Mathematics, VAST 
    18 Hoang Quoc Viet Road, CauGiay District,
    10307, Hanoi, Vietnam 

    email : ndyen@math.ac.vn

     
    Fields of Interest

    Optimization, Nonsmooth Analysis, Set-Valued Analysis, Variational Inequalities, Numerical Analysis and Scientific
    Computing.

    Selected publications
     
  • Yen, N. D., Stability of the solution set of perturbed nonsmooth inequality systems and application, Journal of  Optimization Theory and Applications Vol. 93 (1997), pp. 199--225. 
  • Sach, P. H., and Yen, N. D., Convexity criteria for set-valued maps, Set-Valued Analysis Vol. 5 (1997), pp. 37--45.
  • Yen, N. D., and Lee, G. M., Solution sensitivity of a class of variational inequalities, Journal of Mathematical Analysis and Applications Vol. 215 (1997), pp. 48--55.
  • Cubiotti, P., and Yen, N. D., A result related to Ricceri's conjecture on generalized quasi-variational inequalities,  Archiv der Mathematik Vol. 69 (1997), pp. 507--514. 
  • Lee, G. M., Kim, D. S., Lee, B. S., and Yen, N. D., Vector variational inequality as a tool for studying vector optimization problems, Nonlinear Analysis Vol. 34 (1998), pp. 745--765.
  • Tam, N. N., and  Yen, N. D., Continuity properties of the Karush-Kuhn-Tucker point set in quadratic programming  problems, Mathematical Programming  Vol. 85 (1999), pp. 193--206.
  • Yen, N. D., and Lee, G. M., On monotone and strongly monotone vector variational inequalities, In ``Vector Variational Inequalities and Vector Equilibria", F. Giannessi, Ed., Kluwer Academic Publishers, Dordrecht, 2000, pp. 467--478. 
  • Yen, N. D., and Phuong, T. D., Connectedness and stability of the solution set in linear fractional vector optimization problems, In ``Vector Variational Inequalities and Vector Equilibria", F. Giannessi, Ed., Kluwer Academic Publishers, Dordrecht, 2000, pp. 479--489. 
  • Tam, N. N., and Yen, N. D., Stability of the Karush-Kuhn-Tucker point set in a general quadratic programming problem,  Vietnam Journal of Mathematics Vol. 28 (2000), No. 1, pp. 33--45.
  • Lee, G. M., and Yen, N. D., Some remarks on the elliptic regulization method, In: ``Fixed Point Theory and Applications", Y. J. Cho, Ed., Nova Science Publishers, New York, 2000, pp. 127--134.
  • Phu, H. X., and Yen, N. D., On the stability of solutions to quadratic programming problems, Mathematical Programming Vol. 89 (2001), pp. 385--394.
  • Lee, G. M., and Yen, N. D., A  result on vector variational inequalities with polyhedral constraints, Journal of Optimization Theory and Applications Vol. 109 (2001), pp. 193--197.
  • Huy, N. Q., Phuong, T. D., and Yen, N. D., On the contractibility of the efficient and weakly efficient sets in R2, Preprint 18/2000, Hanoi Institute of Mathematics, 2000. To appear in  ``Equilibrium Problems and Variational Models" (A. Maugeri, Ed.), Kluwer, 2002.
  • Yen, N. D., and Hung, N. X., A criterion for the compactness of the solution set of a linear complementarity problem. To appear in ``Proceedings of the 6th International Conference 2000 on Nonlinear Functional Analysis and Applications".
  • Yen, N. D., and Kim, B. T., Linear operators satisfying the assumptions of some generalized Lax-Milgram theorems. To appear in "Acta Mathematica Vietnamica".
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    Current and Graduated Students

    Nguyen Nang Tam (2000), 
    Bui Trong Kien, 
    Nguyen Quang Huy, 
    Tran Ninh Hoa.

    Current Teaching

    Optimization Theory; 
    Introduction to Mathematical Control Theory. 


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