Fixed points for α-βE-Geraghty contractions on b-metric spaces and applications to matrix equations

Autor:	Hassen Aydi, Maha M. AlShammari, Hind Ahmed Al-Rubaish, Erdal Karapınar, Abdelbasset Felhi
Rok vydání:	2019
Předmět:	Nonlinear system Matrix (mathematics) Metric space Pure mathematics General Mathematics Uniqueness Fixed point Mathematics
Zdroj:	Filomat. 33:3737-3750
ISSN:	2406-0933 0354-5180
DOI:	10.2298/fil1912737a
Popis:	In this paper, we introduce the notion of ?-?E-Geraghty contraction type mappings on bmetric spaces and prove the existence and uniqueness of fixed point for such mappings. These results are generalizations of the recent results in [Fulga and Proca, Fixed points for ?E-Geraghty contractions, J. Nonlinear Sci. Appl. 10 (2017), 5125-5131]. We give some examples illustrating the presented results. An application on matrix equations and numerical algorithms are also provided.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::a3ce617df10d5f51a2cec8a7f94a8891 https://doi.org/10.2298/fil1912737a Zobrazit plný text záznamu