Fixed Point of (α,β)-Admissible Generalized Geraghty F-Contraction with Application

Autor:	Min Wang, Naeem Saleem, Xiaolan Liu, Arslan Hojat Ansari, Mi Zhou
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	fixed point partial metric spaces b-metric spaces F-contraction (α β)-admissible Mathematics QA1-939
Zdroj:	Symmetry, Vol 14, Iss 5, p 1016 (2022)
Druh dokumentu:	article
ISSN:	2073-8994
DOI:	10.3390/sym14051016
Popis:	In this paper, we introduce some new types of extended Geraghty contractions, called (α,β)-admissible generalized Geraghty F-contractions, and prove some fixed point results for such contractions in the setting of partial b-metric spaces. Moreover, based on the obtained fixed point results and the property of symmetry, we inaugurate a fixed point result for graphic generalized Geraghty F-contractions defined on partial metric spaces endowed with a directed graph. As an application, we examine the existence of a unique solution to the first-order periodic boundary value by the obtained fixed point result. Moreover, some examples are presented to illustrate the validity of the new results.
Databáze:	Directory of Open Access Journals
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