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Fixed point results for generalized rational type [Formula: see text] -admissible contractive mappings in the setting of partially ordered b-metric spaces

OBJECTIVES: In this paper we introduce fixed point theorems for generalized rational type [Formula: see text] -admissible contractive mappings in partially ordered b-metric spaces and prove the existence and uniqueness of fixed points for self-mappings satisfying the established theorems. Finally, w...

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Detalles Bibliográficos
Autores principales: Haji, Kedir Husen, Tola, Kidane Koyas, Mamud, Mustefa Abduletif
Formato: Online Artículo Texto
Lenguaje:English
Publicado: BioMed Central 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9264667/
https://www.ncbi.nlm.nih.gov/pubmed/35799211
http://dx.doi.org/10.1186/s13104-022-06122-z
Descripción
Sumario:OBJECTIVES: In this paper we introduce fixed point theorems for generalized rational type [Formula: see text] -admissible contractive mappings in partially ordered b-metric spaces and prove the existence and uniqueness of fixed points for self-mappings satisfying the established theorems. Finally, we provide examples in support of our main findings in the setting of partially ordered b-metric spaces. RESULT: New fixed point results have been obtained for generalized rational type [Formula: see text] -admissible contractive mappings in the setting of partially ordered b-metric space and we applied one of our results to determine a solution to an integral equation.