Modified $F$-Contractions via $\alpha$-Admissible Mappings and Application to Integral Equations

Hassen Aydi, Erdal Karapinar, Habib Yazidi

In this paper, we introduce the concept of a modified $F$ -contraction via $\alpha$-admissible mappings and propose some theorems that guarantee the existence and uniqueness of fixed point for such mappings in the frame of complete metric spaces. We also provide some illustrative examples. Moreover, we consider an application solving an integral equation.