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

Min Wang, Naeem Saleem, Xiaolan Liu*, Arslan Hojat Ansari, Mi Zhou*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


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 languageEnglish
Article number1016
Issue number5
Publication statusPublished - May 2022
Externally publishedYes


  • (α, β)-admissible
  • F-contraction
  • b-metric spaces
  • fixed point
  • partial metric spaces


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