Hyers-Ulam stability for coupled random fixed point theorems and applications to periodic boundary value random problems

In this paper, we prove some existence, uniqueness and Hyers-Ulam stability results for the coupled random fixed point of a pair of contractive type random operators on separable complete metric spaces. The approach is based on a new version of the Perov type fixed point theorem for contractions. So...

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Detalles Bibliográficos
Autores: Boudaoui, Ahmed, Caraballo Garrido, Tomás, Blouhi, Tayeb
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2019
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/92695
Acceso en línea:https://hdl.handle.net/11441/92695
https://doi.org/10.1515/rose-2019-2012
Access Level:acceso abierto
Palabra clave:Fixed point
Random operator
Periodic boundary random value problem
Descripción
Sumario:In this paper, we prove some existence, uniqueness and Hyers-Ulam stability results for the coupled random fixed point of a pair of contractive type random operators on separable complete metric spaces. The approach is based on a new version of the Perov type fixed point theorem for contractions. Some applications to integral equations and to boundary value problems are also given.