7 citations · 18 across the 10 of their papers we have counts for
13 papers
Subdifferential determination of a primal lower regular function on a Banach space
M. Ivanov, M. Konstantinov, N. Zlateva
We generalize to Banach space Thibault-Zagrodny Theorem that if and are primal lower regular functions and locally, then and locally diffe…
A primal approach to the Clarke-Ledyaev inequality
Mihail Hamamdjiev, Milen Ivanov, Nadia Zlateva
We present a version of the Clarke-Ledyaev inequality that does not involve elements of the dual space. The proof relies mainly on geometry and on the classical lemma of Bishop and…
On Long Orbit Empty Value (LOEV) principle
M. Ivanov, D. Kamburova, N. Zlateva
We consider an useful in Variational Analysis tool -- Long Orbit or Empty Value (LOEV) principle -- in different settings, starting from more abstract to more defined. We prove, us…
Slopes and Moreau-Rockafellar Theorem
Milen Ivanov, Nadia Zlateva
Properties of local and global slope of a function and its approximate critical points sets are studied in relation to determination of the function.
Orlicz functions that do not satisfy the -condition and high order Gateaux smoothness in
Milen Ivanov, Stanimir Troyanski, Nadia Zlateva
We study Orlicz functions that do not satisfy the -condition at zero. We prove that for every Orlicz function such that for some , ther…
Perturbation Method in Orlicz Sequence Spaces
Hristina Topalova, Nadia Zlateva
We develop a new perturbation method in Orlicz sequence spaces with Orlicz function satisfying condition at zero. This result allows one to support from below an…
Hadamard Inverse Function Theorem Proved by Variational Analysis
Milen Ivanov, Nadia Zlateva
We present a proof of Hadamard Inverse Function Theorem by the methods of Variational Analysis, adapting an idea of I. Ekeland and E. Sere.
Inverse Function Theorem in Fréchet Spaces
Milen Ivanov, Nadia Zlateva
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…
Barrier functions in the subdifferential theory
Milen Ivanov, Nadia Zlateva
We present a new method for proving Correa-Jofré-Thibault theorem that monotonicity of subdifferential implies convexity of the function. This new method is based on barrier functi…
On Characterizations of Metric Regularity of Multi-valued Maps
Milen Ivanov, Nadia Zlateva
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…
A simple case within Nash-Moser-Ekeland theory
Milen Ivanov, Nadia Zlateva
We present simple and direct proof to an important case of Nash-Moser-Ekeland theorem.
Surjectivity in Fréchet spaces
Milen Ivanov, Nadia Zlateva
We prove surjectivity result in Fréchet spaces of Nash-Moser type. That is, with uniform estimates over all semimorms. Our method works for functions which are only continuous and…
Maximal monotonicity of the subdifferential of a convex function: a direct proof
Milen Ivanov, Nadia Zlateva
We provide a new proof for maximal monotonicity of the subdifferential of a convex function.