Existence of Solutions for a System of Integral Equations Using a Generalization of Darbo’s Fixed Point Theorem

In this paper, an extension of Darbo’s fixed point theorem via θ -F-contractions in a Banach space has been presented. Measure of noncompactness approach is the main tool in the presentation of our proofs. As an application, we study the existence of solutions for a system of integral equations. Fin...

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Detalles Bibliográficos
Autores: Mohammadi, Babak, Shole Haghighi, Ali Asghar, Khorshidi, Maryam, De la Sen Parte, Manuel, Parvaneh, Vahid
Tipo de recurso: artículo
Fecha de publicación:2020
País:España
Institución:Universidad del País Vasco
Repositorio:Addi. Archivo Digital para la Docencia y la Investigación
OAI Identifier:oai:addi.ehu.eus:10810/43253
Acceso en línea:http://hdl.handle.net/10810/43253
Access Level:acceso abierto
Palabra clave:fixed point
measure of noncompactness
coupled fixed point
integral equations
Descripción
Sumario:In this paper, an extension of Darbo’s fixed point theorem via θ -F-contractions in a Banach space has been presented. Measure of noncompactness approach is the main tool in the presentation of our proofs. As an application, we study the existence of solutions for a system of integral equations. Finally, we present a concrete example to support the effectiveness of our results.