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

In this paper, we introduce some new types of extended Geraghty contractions, called (?,?)-admissible generalized F-contractions, and prove fixed point results for such contractions in the setting partial b-metric spaces. Moreover, based on obtained property symmetry, inaugurate a result graphic F-contractions defined metric spaces endowed with directed graph. As an application, examine existence unique solution to first-order periodic boundary value by result. examples are presented illustrate validity results.