Existence and uniqueness of solution to several kinds of differential equations using the coincidence theory

The purpose of this article is to study the existence of a coincidence point for two mappings defined on a nonempty set and taking values on a Banach space using the fixed point theory for nonexpansive mappings. Moreover, this type of results will be applied to obtain the existence of solutions for...

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Detalles Bibliográficos
Autores: Ariza Ruiz, David, García Falset, Jesús
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2015
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/42605
Acceso en línea:http://hdl.handle.net/11441/42605
https://doi.org/10.11650/tjm.19.2015.5019
Access Level:acceso abierto
Palabra clave:differential equations
fractional derivative
coincidence problem
fixed point
Ulam-Hyers stability
Descripción
Sumario:The purpose of this article is to study the existence of a coincidence point for two mappings defined on a nonempty set and taking values on a Banach space using the fixed point theory for nonexpansive mappings. Moreover, this type of results will be applied to obtain the existence of solutions for some classes of ordinary differential equations.