A new concept of differentiability for interval-valued functions

2019/11/09 by Vasile Lupulescu, Lupulescu, Vasile, Donal O’Regan +1
Mathematics · #FOS: Mathematics #Functional Equations Stability Results #Fuzzy Systems and Optimization #General Mathematics (math.GM) #Nonlinear Differential Equations Analysis

paper · pdf · doi:10.48550/arxiv.1911.03680

openalex publication_date 2019/11/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we propose a new concept of differentiability for interval-valued functions. This concept is based on the properties of the Hausdorff-Pompeiu metric and avoids using the generalized Hukuhara difference.

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