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

Autor: Albray Gebremariam Kalo, Kidane Koyas Tola, Haider Ebrahim Yesuf
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Fixed Point Theory and Algorithms for Sciences and Engineering, Vol 2024, Iss 1, Pp 1-22 (2024)
Druh dokumentu: article
ISSN: 2730-5422
DOI: 10.1186/s13663-024-00764-3
Popis: 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.
Databáze: Directory of Open Access Journals
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