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Fixed point results for Geraghty–Ćirić-type contraction mappings in b-metric space with applications

Article scientifique 2024 Anglais

Résumé

Abstract In this study, we manifest a new class of mappings that satisfy Geraghty–Ćirić-type contractive conditions in the context of b-metric spaces and prove a theorem on the existence and uniqueness of fixed points. Our results unify and generalize the results of Geraghty; Ćirić; Dukic, Kadelburg, and Radenović; and Shu-fang Li, Fei Hi, and Ning Lu in the setting of b-metric spaces. Furthermore, we provide examples to verify the correctness and applicability of our results. We also utilize our findings to show the existence of a unique solution for a nonlinear integral equation.

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Kalo, A., Tola, K., Yesuf, H. (2024). Fixed point results for Geraghty–Ćirić-type contraction mappings in b-metric space with applications. https://doi.org/10.1186/s13663-024-00764-3

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Auteur(s)

Albray Gebremariam Kalo Kidane Koyas Tola Haider Ebrahim Yesuf

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