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

2020/03/21 by Takefumi Fujimoto, Fujimoto, Takefumi
Computer Science · #FOS: Mathematics #Functional Analysis (math.FA) #Optimization and Variational Analysis

paper · pdf · doi:10.48550/arxiv.2003.09587

openalex publication_date 2020/03/21 · openalex created_date 2020/03/27 · openalex updated_date 2026/07/28

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.

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