Zobrazeno 1 - 10
of 41
pro vyhledávání: '"Zlateva, Nadia P."'
Autor:
Topalova, Hristina, Zlateva, Nadia
We show that in a quite general framework, the parameterized optimization problem can be so perturbed as to be generically well-posed. As an application, we provide a contribution to Stechkin theory.
Externí odkaz:
http://arxiv.org/abs/2410.09526
Autor:
Topalova, Hristina, Zlateva, Nadia
We establish a general method for simultaneously perturbing a convergent sequence of functions in such a way that the sequence of strong minima of the perturbed functions tend to the strong minimum of their limit.
Externí odkaz:
http://arxiv.org/abs/2310.19749
Autor:
Ivanov, Milen, Zlateva, Nadia
Properties of local and global slope of a function and its approximate critical points sets are studied in relation to determination of the function.
Externí odkaz:
http://arxiv.org/abs/2309.03505
We study Orlicz functions that do not satisfy the $\Delta_2$-condition at zero. We prove that for every Orlicz function $M$ such that $\limsup_{t\to0}M(t)/t^p >0$ for some $p\ge1$, there exists a positive sequence $T=(t_k)_{k=1}^\infty$ tending to ze
Externí odkaz:
http://arxiv.org/abs/2306.09654
Autor:
Topalova, Hristina, Zlateva, Nadia
We develop a new perturbation method in Orlicz sequence spaces $\ell_M$ with Orlicz function $M$ satisfying $\Delta_2$ condition at zero. This result allows one to support from below any bounded below lower semicontinuous function with bounded suppor
Externí odkaz:
http://arxiv.org/abs/2304.11647
Autor:
Ivanov, Milen, Zlateva, Nadia
We present a proof of Hadamard Inverse Function Theorem by the methods of Variational Analysis, adapting an idea of I. Ekeland and E. Sere.
Externí odkaz:
http://arxiv.org/abs/2202.09327
Autor:
Ivanov, Milen, Zlateva, Nadia
Publikováno v:
JOTA 190, 300-315, 2021
We consider the classical Inverse Function Theorem of Nash and Moser from the angle of some recent development by Ekeland and the authors. Geometrisation of tame estimates coupled with certain ideas coming from Variational Analysis when applied to a
Externí odkaz:
http://arxiv.org/abs/2005.12605
Autor:
Ivanov, Milen, Zlateva, Nadia
Publikováno v:
Journal of Convex Analysis 27 (2020), No. 4, 1091-1098
We present a new method for proving Correa-Jofr\'e-Thibault theorem that monotonicity of subdifferential implies convexity of the function. This new method is based on barrier functions. Barrier functions help overcome some of the main technical diff
Externí odkaz:
http://arxiv.org/abs/1904.00174
Akademický článek
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Autor:
Ivanov, Milen, Zlateva, Nadia
Publikováno v:
Journal of Convex Analysis 27 (2020), No. 1, 381-388
We provide a new proof along the lines of the recent book of A. Ioffe of a 1990's result of H. Frankowska showing that metric regularity of a multi-valued map can be characterized by regularity of its contingent variation - a notion extending conting
Externí odkaz:
http://arxiv.org/abs/1811.08243