This paper is devoted to the study of the expected-integral multifunctions given in the form EΦ(x):=∫TΦt(x)dμ, where \Phi\colon T\times\X\;{\lower {$\rightarrow$}}\kern {\raise {$\rightarrow$}…
In this paper, we investigate the Moreau envelope of the supremum of a family of convex, proper, and lower semicontinuous functions. Under mild assumptions, we prove that the Moreau envelope of a s…
This paper deals with particular families of DC optimization problems involving suprema of convex functions. We show that the specific structure of this type of function allows us to cover a variet…