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, Hernández Jiménez, Beatriz, Ruiz Garzón, Gabriel
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2022
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/180590
Acceso en línea:https://hdl.handle.net/11441/180590
https://doi.org/10.1002/mma.8647
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.