Nadia Peycheva Zlateva

Nadia Peycheva Zlateva

Professor
DSc

Probability, Operations Research and Statistics

Email: 
zlateva@fmi.uni-sofia.bg
Phone: 
+359 2 8161-504
Room: 
FMI-513

"I am not at all a specialist in Mathematics – at most an admirer and an unlucky lover of this most beautiful of the sciences."       Paul Valérie

Scientific Interests

  • Variational Analysis; Nonlinear and Nonsmooth Analysis; Subdifferantial Calculus; Optimization

Projects

Teaching

  • Operations Research; Linear Prigramming; Nonlinear Optimization

Publications

    1. P.G. Georgiev and N.P. Zlateva, Second subdifferentials of C1,1 functions: optimality conditions and well posedness, Compt. rend. Acad. bulg. Sci.,  46, 1993, No 11, 25-28.
    2. P.G. Georgiev and N.P. Zlateva, Second-order subdifferentials of C1,1 functions and optimality conditions, Set-Valued Analysis,  4, 1996, 101-117.
    3. P.G. Georgiev and N.P. Zlateva,  Generic Gâteaux differentiability via smooth perturbations, Bull. Austr. Math. Soc.,  56, 1997, 421-428.
    4. M. Ivanov and N. Zlateva, Abstract subdifferential calculus and semiconvex functions, Serdica Math. J.,  23, 1997, 35-58.
    5. M. Ivanov and N. Zlateva, On Clarke-Ledyaev inequality, preprint of the Institute of Mathematics and Informatics at the Bulgarian  Academy of Sciences, 1, May 1998.
    6. P.G. Georgiev and N.P. Zlateva, Lasry─Lions regularizations and reconstruction of subdifferentials, Compt. rend. Acad. bulg. Sci.,  51, 1998, No 9-10, 9-13.
    7. N. Zlateva, Subdifferential Calculus and Variational Methods in Non-smooth Analysis, PhD dissertation,  1997 (in Bulgarian).
    8. P.G. Georgiev and N.P. Zlateva, Reconstruction of Clarke subdifferential by the Lasry-Lions regularizations, J. Math. Anal. Appl.,  248, 2000, 415-428.
    9. M. Ivanov and N. Zlateva, A Clarke-Ledyaev type inequality for certain non-convex sets,  Serdica Math. J.,  26, 2000, 277-286.
    10. M. Ivanov and N. Zlateva, On primal lower-nice property, Compt. rend. Acad. bulg. Sci.,  54, 2001, No 11, 5-10.
    11. M. Ivanov and N. Zlateva, On nonconvex version of the inequality of Clarke and Ledyaev, Nonlin. Anal., Theory, Meth. Appl., 49, 2002, No 8, 1023-1036.
    12. L. Thibault and N. Zlateva, Integrability of subdifferentials of certain bivariate functions, Nonlin. Anal., Theory, Meth. Appl., 54, 2003, No 7, 1251-1269.
    13. M. Ivanov and  N. Zlateva, Subdifferential characterization of primal lower-nice functions on smooth Banach spaces,  Compt. rend. Acad. bulg. Sci., 57, 2004, No 5, 13-18;
    14. L. Thibault and  N. Zlateva, Integrability of subdifferentials of directionally Lipschitz functions, Proc. Amer. Math. Soc., 133, 2005, 2939-2948;
    15. L. Thibault and  N. Zlateva, Partially ball weakly inf-compact saddle functions, Mathematics of Operations Research, 30, 2005, No 2, 404-419.
    16. A. L. Dontchev, M. Quincampoix and N. Zlateva, Aubin criterion for metric regularity,  Journal of Convex Analysis, 13, 2006, No 2, 281-297.
    17. F. Bernard, L. Thibault and N. Zlateva, Characterizations of prox-regular sets in uniformly convex Banach spaces, Journal of Convex Analysis, 13, 2006, No 3-4, 525-559.
    18. M. Quincampoix and N. Zlateva, On Lipschitz regularity of minimizers of a calculus of variations problem with non locally bounded Lagrangians, Compt. rend. Mathematique, 343, 2006, Issue 1, 69-74.
    19. M. Ivanov and N. Zlateva, A new proof of the integrability of the subdifferential of a convex function on a Banach space,  Proc. Amer. Math. Soc., 136, 2008, No 5, 1787-1793.
    20. M. Quincampoix and N. Zlateva, Parameterized minimax problem: on Lipschitz-like dependence  of the solution with respect to the parameter, SIAM J. Optim., 19, 2008, No 3, 1250-1269.
    21. F. Bernard, L. Thibault and N. Zlateva, Prox-regular sets and epigraphs in uniformly convex Banach spaces: Various regularities and other properties, Trans. Amer. Math. Soc., 363, 2011, 2211-2247.
    22. M. Ivanov and N. Zlateva, Perturbation method for variational problems,  Journal of Convex Analysis, 19, 2012, No 4, 1033-1042.
    23. M. Ivanov and N. Zlateva, Perturbation method for non-convex integral functional,   JOTA, 157, June 2013, Issue 3, 737-748. 
    24. M. Ivanov, B. Zlatanov and N. Zlateva, A Variational Principle and Best Proximity Points, Acta Mathematica Sinica (English Series),  Vol. 31, 2015, No 8, 1315-1326.
    25. N. Zlateva, Integrability through infimal regularization, Compt. rend. Acad. bulg. Sci.,  68,  2015, No 5, 551-560.
    26.  M. Ivanov and N. Zlateva, Long Orbit or Empty Value Principle, Fixed Point and Surjectivity Theorems, Compt. rend. Acad. bulg. Sci,  69, 2016, No 5, 553-562.
    27. M. Ivanov and N. Zlateva, Maximal Monotonicity of the Subdifferential of a Convex Function: a Direct Proof, Journal of Convex Analysis, 24, 2017, No 4, 1307-1311.
    28. N. Zlateva, Variational analysis: Methods and applications, DSci dissertation,  2017.
    29. M. Ivanov and N. Zlateva, A Simple Case within Nash-Moser-Ekeland Theory, Compt. rend. Acad. bulg. Sci., 72, 2019, No 2, 152-157.
    30. M. Ivanov and N. Zlateva, Surjectivity in Fréchet Spaces, Journal of Optimization Theory and Applications, 182,  2019,  No 1, 265-284.
    31. Milen Ivanov and Nadia Zlateva, On Characterizations of Metric Regularity of Multi-valued Maps, Journal of Convex Analysis, 27, 2020, No 1, 381-388.
    32. Milen Ivanov and Nadia Zlateva, Barrier Functions in Subdifferential Theory, Journal of Convex Analysis, 27, 2020, No 4, 1091-1098.
    33. M. Ivanov and N. Zlateva,  Inverse mapping theorem in Fréchet spaces, Journal of Optimization Theory and Applications, 190(1), 2021, 300-315.
    34. M. Konstantinov and N. Zlateva, Epsilon subdifferential method and integrability, Journal of Convex Analysis, 29(2), 2022, 571-582.
    35. M. Hamamdjiev and N. Zlateva, A Clarke-Ledyaev multidirectional mean value inequality for convex functions, Pacific Journal of Optimization, 18(3), 2022, 625-633.
    36. M. Konstantinov and N. Zlateva, Direct proofs of intrinsic properties of prox-regular sets in Hilbert spaces, Journal of Applied Analysis,   29(1), 2023, 143-149.
    37. M. Ivanov, M. Quincampoix and N. Zlateva, Metric Regularity for Set-Valued Maps in Fréchet-Montel Spaces. Implicit Mapping Theorem, Set-Valued and Variational Analysis, 31(2), 2023.
    38. Milen Ivanov and Nadia Zlateva, Hadamard inverse function theorem proved by variational analysis, Serdica Math. J., 49,2023, No. 1-3, 97-106.
    39. M. Konstantinov and N. Zlateva, Epigraphical characterization of uniformly lower regular functions in Hilbert spaces, Journal of Convex Analysis, 30(4), 2023, 1139-1153.
    40. M. Ivanov, S. Troyanski and N. Zlateva, Orlicz functions that do not satisfy the Δ2-condition and high order Gateaux smoothness in hM(Γ), Proceedings of the AMS, 152, 2024, issue 5, 2007-2019.
    41. H. Topalova and N. Zlateva, Perturbation Method in Orlicz Sequence Spaces, Set-Valued and Variational Analysis, 32, 2024, issue:2, art. 12.
    42. H. Topalova and N. Zlateva, Simultaneous perturbed minimization of a convergent sequence of functions. Optimization, 2024.
    43. D. Kamburova, R. Marinov and N. Zlateva, Saddle points in completely regular topological spaces, Vietnam Journal of Mathematics,  53, 2025,  441-451.
    44. M. Ivanov and N. Zlateva, Slopes and the Moreau-Rockafellar Theorem,  Journal of Convex Analysis,  32, 2025, No2, 359-374.
    45. Milen Ivanov, Jesús A. Jaramillo,  Sebastián Lajara and Nadia Zlateva, Continuous Selections and Invertibility of Nonsmooth Maps Between Banach Spaces, Journal of Optimization Theory and Applications, vol. 206, 2025, art. no. 41.
    46. H. Topalova and N. Zlateva, Generic continuity of perturbed minima of certain parametric optimization problems, Positivity, vol. 29, art. no. 40, 2025. 

Websites

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