Menu   Marius DUREA


    Curriculum Vitae
    Research
    Teaching (in Romanian)

Contact

    durea(at)uaic.ro
     (++40) (0)232 201222

Home

  www.math.uaic.ro  www.math.uaic.ro
  

Main current fields of interest:

  • Variational analysis
  • Regularity of set-valued mappings
  • Scalar and vector optimization
  • Set-valued optimization

Research Papers

  1. M. Durea, E.-A. Florea, Calculus of some higher-order derivatives for set-valued mappings and applications to generalized vector optimization, Pacific Journal of Optimization, accepted.
  2. M. Durea, E.-A. Florea, A study of generalized vector variational inequalities via vector optimization problems, Vietnam Journal of Mathematics, DOI: 10.1007/s10013-017-0257-8.
  3. M. Durea, R. Strugariu, Vectorial penalization for generalized functional constrained problems, Journal of Global Optimization, 68 (2017), 899-923.
  4. M. Durea, R. Strugariu, C. Tammer, On some methods to derive necessary and sufficient optimality conditions in vector optimization, Journal of Optimization Theory and Applications, DOI: 10.1007/s10957-016-1059-y.
  5. M. Durea, M. Panțiruc, R. Strugariu, A new type of directional regularity for mappings and applications to optimization, SIAM Journal on Optimization, 27 (2017), 1204-1229.
  6. M. Durea, R. Strugariu, Generalized penalization and maximization of vectorial nonsmooth functions, Optimization, 66 (2017), 903-915.
  7. M. Durea, M. Panțiruc, R. Strugariu, Minimal time function with respect to a set of directions. Basic properties and applications, Optimization Methods and Software, 31 (2016), 535-561.
  8. M. Durea, R. Strugariu, Metric subregularity of composition set-valued mappings with applications to fixed point theory, Set-Valued and Variational Analysis, 24 (2016), 231-251.
  9. M. Durea, R. Strugariu, C. Tammer, On set-valued optimization problems with variable ordering structure, Journal of Global Optimization, 61 (2015), 745-767.
  10. M. Apetrii, M. Durea, R. Strugariu, A new penalization tool in scalar and vector optimizations, Nonlinear Analysis: Theory, Methods and Applications, 107 (2014), 22-33.
  11. M. Durea, V. N. Huyhn, H. T. Nguyen, R. Strugariu, Metric regularity of composition set-valued mappings: metric setting and coderivative conditions, Journal of Mathematical Analysis and Applications, 412 (2014), 41-62.
  12. M. Durea, R. Strugariu, Scalarization of constraints system in some vector optimization problems and applications, Optimization Letters, 8 (2014), 2021-2037 (erratum, idem, 2039-2040).
  13. M. Durea, R. Strugariu, Chain rules for linear openness in metric spaces and applications, Mathematical Programming Serie A, 143 (2014), 147-176.
  14. M. Durea, R. Strugariu, C. Tammer, Scalarization in geometric and functional vector optimization revisited, Journal of Optimization Theory and Applications, 159 (2013), 635-655.
  15. M. Durea, H. T. Nguyen, R. Strugariu, Metric regularity of epigraphical multivalued mappings and applications to vector optimization, Mathematical Programming Serie B, 139 (2013), 139-159.
  16. M. Durea, R. Strugariu, Calculus of tangent sets and derivatives of set-valued maps under metric subregularity conditions, Journal of Global Optimization, 56 (2013), 587-603.
  17. M. Apetrii, M. Durea, R. Strugariu, On subregularity properties of set-valued mappings. Applications to solid vector optimization, Set-Valued and Variational Analysis, 21 (2013), 93-126.
  18. M. Durea, R. Strugariu, Openness stability and implicit multifunction theorems. Applications to variational systems, Nonlinear Analysis: Theory, Methods and Applications, 75 (2012), 1246-1259.
  19. M. Durea, R. Strugariu, Chain rules for linear openness in general Banach spaces, SIAM Journal on Optimization, 22 (2012), 899-913.
  20. M. Durea, R. Strugariu, On parametric vector optimization via metric regularity of constraint systems, Mathematical Methods of Operations Research, 74 (2011), 409-425.
  21. M. Durea, R. Strugariu, Existence conditions for generalized vector variational inequalities, Annals of Operations Research, 191 (2011), 255-262.
  22. M. Durea, J. Dutta, Chr. Tammer, Stability properties of KKT points in vector optimization, Optimization, 60 (2011), 823-838.
  23. M. Durea, R. Strugariu, On some Fermat rules for set-valued optimization problems, Optimization, 60 (2011), 575-591.
  24. M. Durea, R. Strugariu, Optimality conditions in terms of Bouligand derivatives for Pareto efficiency in set-valued optimization, Optimization Letters, 5 (2011), 141-151.
  25. M. Durea, R. Strugariu, Necessary optimality conditions for weak sharp minima in set-valued optimization, Nonlinear Analysis: Theory, Methods and Applications, 73 (2010), 2148-2157.
  26. M. Durea, Openness properties for parametric set-valued mappings and implicit multifunctions, Nonlinear Analysis: Theory, Methods and Applications, 72 (2010), 571-579.
  27. M. Durea, Remarks on strict efficiency in scalar and vector optimization, Journal of Global Optimization, 47 (2010), 13-27.
  28. M. Durea, J. Dutta, Chr. Tammer, Lagrange multipliers for $\varepsilon$- Pareto solutions in vector optimization with non solid cones in Banach spaces, Journal of Optimization Theory and Applications, 145 (2010), 196-211.
  29. M. Durea, R. Strugariu, Some remarks an proximal point algorithm in scalar and vectorial cases, Nonlinear Functional Analysis and Applications, 15 (2010), 307-319.
  30. M. Durea, R. Strugariu, Quantitative results on openness of set-valued mappings and implicit multifunction theorems, Pacific Journal of Optimization, 6 (2010), 533-549.
  31. M. Durea, Chr. Tammer, Fuzzy necessary optimality conditions for vector optimization problems, Optimization, 58 (2009), 449-467.
  32. M. Durea, J. Dutta, Chr. Tammer, Bounded sets of Lagrange multipliers for vector optimization problems in infinite dimension, Journal of Mathematical Analysis and Applications, 348 (2008), 589-606.
  33. M. Durea, Optimality conditions for weak and firm efficiency in set-valued optimization, Journal of Mathematical Analysis and Applications, 344 (2008), 1018-1028.
  34. M. Ait Mansour, M. Durea, M. Théra, A lower semicontinuous regularization for set-valued mappings and its applications, Journal of Convex Analysis, 15 (2008), 437-484.
  35. M. Durea, J. Dutta, Lagrange multipliers for Pareto minima in general Banach spaces, Pacific Journal of Optimization, 4 (2008), 447-463.
  36. M. Durea, Some cone separation results and applications, Revue d'Analyse Numerique et de Theorie de l'Approximation, 37 (2008), 37-46.
  37. M. Durea, Calculus of the Bouligand derivative of set-valued maps in Banach spaces, Nonlinear Functional Analysis and Applications, 13 (2008), 573-585.
  38. M. Durea, Scalarization for pointwise well-posed vectorial problems, Mathematical Methods of Operations Research, 66 (2007), 409-418.
  39. M. Durea, On the existence and stability of approximate solutions of perturbed vector equilibrium problems, Journal of Mathematical Analysis and Applications, 333 (2007), 1165-1176.
  40. M. Durea, First and second order Lagrange claims for set-valued maps, Journal of Optimization Theory and Applications, 133 (2007), 111-116.
  41. M. Durea, Estimations of the Lagrange multipliers' norms in set-valued optimization, Pacific Journal of Optimization, 2 (2006), 487-501.
  42. M. Durea, Some existence and stability results of solutions for vector equilibrium problems, Nonlinear Functional Analysis and Applications, 11 (2006), 125-138.
  43. M. Durea, On some constraint qualification conditions in set-valued optimization, Pure Mathematics and Applications, 15 (2005), 393-408.
  44. M. Durea, Openness results for multifunctions via an abstract subdifferential, Mathematica (Cluj), 47 (2005), 61-72.
  45. M. Durea, Global and local optimality conditions in set-valued optimization problems, International Journal of Mathematics and Mathematical Sciences, 11 (2005), 1693-1711.
  46. M. Durea, Variational inclusions for contingent derivative of set-valued maps, Journal of Mathematical Analysis and Applications, 292 (2004), 351-363.
  47. M. Durea, First and second order optimality conditions for set-valued optimization problems, Rendiconti del Circolo Matematico di Palermo, 53 (2004), 451-468.
  48. M. Durea, Generalized vector equilibrium problems and applications, PanAmerican Mathematical Journal, 14 (2004), 37-50.
  49. M. Durea, On error bounds for vector valued functions, Pure Mathematics and Applications, 14 (2003), 173-180.
  50. M. Durea, Applications of the Fréchet subdifferential, Serdica Mathematical Journal, 29 (2003), 301-314.


Grant PN-II-RU-TE-2014-4-0019
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