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:	Fixed point b-metric spaces Geraghty–Ćirić-type contraction Nonlinear integral equations Applied mathematics. Quantitative methods T57-57.97 Analysis QA299.6-433
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
Externí odkaz:	https://doaj.org/article/163e806b9fcd46d78cd1b2b59a9df7a4 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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