Fixed point results for Geraghty quasi-contraction type mappings in dislocated quasi-metric spaces

Abstract In this paper, fixed point results for a newly introduced Geraghty quasi-contraction type mappings are proved in more general metric spaces called T-orbitally complete dislocated quasi-metric spaces. Geraghty quasi-contraction type mappings generalize, among others, Ciric’s quasi-contractio...

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Autores principales: Joy C. Umudu, Johnson O. Olaleru, Adesanmi A. Mogbademu
Formato: article
Lenguaje:EN
Publicado: SpringerOpen 2020
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Acceso en línea:https://doaj.org/article/ad4582890f7c46fb8db179525064a2b9
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Sumario:Abstract In this paper, fixed point results for a newly introduced Geraghty quasi-contraction type mappings are proved in more general metric spaces called T-orbitally complete dislocated quasi-metric spaces. Geraghty quasi-contraction type mappings generalize, among others, Ciric’s quasi-contraction mappings and other Geraghty quasi-contractive type mappings in the literature. Fixed point results are obtained without imposing a continuity condition on the mapping, thereby further generalizing some other related work in the literature. An example is given to show the validity of results obtained.