Necessary and sufficient conditions for interval-valued differentiability

This paper presents necessary and sufficient conditions for generalized Hukuhara differentiability of interval-valued functions and counterexamples of some equivalences previously presented in the literature, for which important results are based on. Moreover, applications of interval generalized Hu...

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Detalles Bibliográficos
Autores: Osuna-Gómez, Rafaela, Mendonca da Costa, Tiago, Ruíz-Garzón, Gabriel, Hernández-Jiménez, Beatriz
Tipo de recurso: artículo
Fecha de publicación:2022
País:España
Institución:Universidad Pablo de Olavide (UPO)
Repositorio:RIO. Repositorio Institucional Olavide
Idioma:inglés
OAI Identifier:oai:rio.upo.es:10433/19491
Acceso en línea:https://hdl.handle.net/10433/19491
Access Level:acceso abierto
Palabra clave:Generalized Hukuhara differentiability
Interval analysis
Interval-valued functions
Descripción
Sumario:This paper presents necessary and sufficient conditions for generalized Hukuhara differentiability of interval-valued functions and counterexamples of some equivalences previously presented in the literature, for which important results are based on. Moreover, applications of interval generalized Hukuhara differentiability are presented.