Some fixed point theorems for mappings satisfying rational inequality in modular metric spaces with applications

We prove some theorems on the existence and uniqueness of fixed point for Reich-type contraction mappings and Geraghty-type mappings satisfying rational inequalities in modular metric spaces. Our results include the results of [1] and [2] as special cases. Furthermore, we apply our main results in p...

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Detalles Bibliográficos
Autores principales: Okeke, Godwin Amechi, Francis, Daniel, de la Sen, Manuel
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier 2020
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7452534/
https://www.ncbi.nlm.nih.gov/pubmed/32885086
http://dx.doi.org/10.1016/j.heliyon.2020.e04785
Descripción
Sumario:We prove some theorems on the existence and uniqueness of fixed point for Reich-type contraction mappings and Geraghty-type mappings satisfying rational inequalities in modular metric spaces. Our results include the results of [1] and [2] as special cases. Furthermore, we apply our main results in proving the existence and uniqueness of solution of nonlinear Barbashin-type integrodifferential equation satisfying a given initial value problem in modular metric space [Formula: see text].

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