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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…
math.FA2024
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…