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

Article scientifique 2020 Anglais

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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.

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Umudu, J., Olaleru, J., Mogbademu, A. (2020). Fixed point results for Geraghty quasi-contraction type mappings in dislocated quasi-metric spaces. https://doi.org/10.1186/s13663-020-00683-z

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J. C. Umudu J. O. Olaleru Adesanmi Alao Mogbademu

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