In 2012, Samet et al. [12] studied the concept of α-admissible mappings that was expanded by Karapnar and Samet in [10]. Wardowski [13], proposed a new inequality to guarantee the existence and uniqueness of a given mapping in the framework of standard metric space. This inequality has been known as F-contraction. In 2016, D. Gopal et al. considered new concepts of α-type F-contractive mappings [8]. Very recently, Jleli and Samet [9] mentioned the concept of F-metric space and obtained the generalization of Banach contraction principle.