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...

ver descrição completa

Detalhes bibliográficos
Autores: Osuna Gómez, Rafaela, Mendonca da Costa, Tiago, Hernández Jiménez, Beatriz, Ruiz Garzón, Gabriel
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2022
País:España
Recursos:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/180590
Acesso em linha:https://hdl.handle.net/11441/180590
https://doi.org/10.1002/mma.8647
Access Level:acceso abierto
Palavra-chave:Generalized Hukuhara differentiability
Interval analysis
Interval-valued functions
Descrição
Resumo: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.