3 papers
math.FA2026
Fixed Point Theorems for Set-Valued Maps with Contractive Orbits
Detelina Kamburova
This paper studies set-valued maps that are lower semicontinuous when restricted to orbits in Hausdorff spaces. We introduce two notions of contractive orbits for such maps. The fi…
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…
math.OC2023
Saddle points in completely regular topological spaces
D. Kamburova, R. Marinov, N. Zlateva
We give a characterization of completely regular topological spaces. Applying some recent results for supinf problems in completely regular topological spaces we establish a variat…