Abstract
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.
Original language | English |
---|---|
Article number | 1016 |
Journal | Symmetry |
Volume | 14 |
Issue number | 5 |
DOIs | |
Publication status | Published - May 2022 |
Externally published | Yes |
Keywords
- (α, β)-admissible
- F-contraction
- b-metric spaces
- fixed point
- partial metric spaces