Fixed Point of Interpolative Rus-Reich-Ciric Contraction Mapping on Rectangular Quasi-Partial b-Metric Space

[EN] The purpose of this study is to introduce a new type of extended metric space, i.e., the rectangular quasi-partial b-metric space, which means a relaxation of the symmetry requirement of metric spaces, by including a real number s in the definition of the rectangular metric space defined by Bra...

Descripción completa

Detalles Bibliográficos
Autores: Gautam, Pragati, Verma, Swapnil, Sánchez Ruiz, Luis Manuel|||0000-0001-7559-6724
Tipo de recurso: artículo
Fecha de publicación:2021
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:10251/181790
Acceso en línea:https://riunet.upv.es/handle/10251/181790
Access Level:acceso abierto
Palabra clave:Fixed point
Interpolation
Rus-Reich-Ciric Contraction
Rectangular quasi-partial b-metric space
MATEMATICA APLICADA
Descripción
Sumario:[EN] The purpose of this study is to introduce a new type of extended metric space, i.e., the rectangular quasi-partial b-metric space, which means a relaxation of the symmetry requirement of metric spaces, by including a real number s in the definition of the rectangular metric space defined by Branciari. Here, we obtain a fixed point theorem for interpolative Rus-Reich-Ciric contraction mappings in the realm of rectangular quasi-partial b-metric spaces. Furthermore, an example is also illustrated to present the applicability of our result.