Fixed point results concerning α-F-contraction mappings in metric spaces

[EN] In this paper, we introduce the notions of generalized α-F-contraction and modified generalized α-F-contraction. Then, we present sufficient conditions for existence and uniqueness of fixed points for the above kind of contractions. Necessarily, our results generalize and unify several results...

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Detalles Bibliográficos
Autores: Dey, Lakshmi Kanta, Kumam, Poom, Senapati, Tanusri
Tipo de recurso: artículo
Fecha de publicación:2019
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/118962
Acceso en línea:https://riunet.upv.es/handle/10251/118962
Access Level:acceso abierto
Palabra clave:Metric space
Fixed point
Generalized α-F-contraction
Modified generalized α-F-contraction
Descripción
Sumario:[EN] In this paper, we introduce the notions of generalized α-F-contraction and modified generalized α-F-contraction. Then, we present sufficient conditions for existence and uniqueness of fixed points for the above kind of contractions. Necessarily, our results generalize and unify several results of the existing literature. Some examples are presented to substantiate the usability of our obtained results.