Nemytskii Operator in the Space of Set-Valued Functions of Bounded <i>φ</i&

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In this paper we consider the Nemytskii operator, i.e., the composition operator defined by (Nf)(t)=H(t,f(t)), where H is a given set-valued function. It is shown that if the operator N maps the space of functions bounded φ1-variation in the sense of Ries
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