Abstract:
We give a complete description for the Lipschitzian superposition operators acting on mappings of finite $\Lambda$-variation with values in a metric semigroup or abstract convex cone and also their analogs for set-valued superposition operators.
Keywords:Waterman $\Lambda$-variation, mapping with values in a metric space, Nemytskii superposition operator, Lipschitz condition, Banach algebra type property.