An Extension of the Carathéodory Differentiability to Set-Valued Maps

This paper uses the generalization of the Hukuhara difference for compact convex set to extend the classical notions of Carathéodory differentiability to multifunctions (set-valued maps). Using the Hukuhara difference and affine multifunctions as a local approximation, we introduce the notion of CH-...

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Bibliographic Details
Main Authors: Pedro Hurtado, Alexander Leones, M. Martelo, J. B. Moreno
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2021/5529796