4 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.