Hemi metric spaces and Banach fixed point theorems

[EN] In this work, we will define a new type metric with degree m and m+1 points which is called m-hemi metric as a generalization of two metric spaces. We will give and prove some topological properties. Also, Banach contraction mapping principle were proved and a application to Fredholm integral e...

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Detalles Bibliográficos
Autores: Ozturk, Vildan, Radenovic, Stojan
Tipo de recurso: artículo
Fecha de publicación:2024
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:10251/203791
Acceso en línea:https://riunet.upv.es/handle/10251/203791
Access Level:acceso abierto
Palabra clave:Hemi-metric
Fixed point
Banach contraction
Descripción
Sumario:[EN] In this work, we will define a new type metric with degree m and m+1 points which is called m-hemi metric as a generalization of two metric spaces. We will give and prove some topological properties. Also, Banach contraction mapping principle were proved and a application to Fredholm integral equation were gived in hemi metric spaces.