Title
Fixed Point of (alpha, beta)-Admissible Generalized Geraghty F-Contraction with Application
Abstract
In this paper, we introduce some new types of extended Geraghty contractions, called (alpha, beta)-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.
Year
DOI
Venue
2022
10.3390/sym14051016
SYMMETRY-BASEL
Keywords
DocType
Volume
fixed point, partial metric spaces, b-metric spaces, F-contraction, (alpha, beta)-admissible
Journal
14
Issue
ISSN
Citations 
5
2073-8994
0
PageRank 
References 
Authors
0.34
0
5
Name
Order
Citations
PageRank
Min Wang17627.77
Naeem Saleem201.35
Xiaolan Liu301.35
Arslan Hojat Ansari400.34
Mi Zhou500.34