Formulation of Convergence and Continuity in Variation of Sets in a Different Way from Sequences of Sets and Correspondence

Abstract

This paper treats the variation of sets. We attempt to formulate convergence and continuity of set-valued functions in a different way from the theories on sequences of sets and correspondence. In the final section, we also attempt to define differentiation of set-valued functions in a Euclidean space by bijection between two sets.