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Characterization of Globally Lipschitz Nemytskiĭ Operators Between Spaces of Set-Valued Functions of Bounded φ-Variation in the Sense of Riesz
Let $ (X,\|\cdot\| )$ and $ (Y,\|\cdot\| )$ be two normed spaces and $K$ be a convex cone in $X$. Let $CC(Y)$ be the family of all non-empty convex compact subsets of $Y$. We consider the Nemytskiĭ operators, i.e. the composition operators defined by $ (