A Characterization of Convex and Semicoercive Functionals
Samir Adly, Emil Ernst, Michel A. Théra · Journal of convex analysis · 2001
We prove that every proper convex and lower semicontinuous functional Φ defined on a real reflexive Banach space X is semicoercive if and only if every small uniform perturbation of Φ attains its minimum value on X.