3 papers
math.FA2025
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…
math.FA2025
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…
math.FA2024
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…