New multivalued F-contraction mappings involving α-admissibility with an application

Abstract

Abstract In this article, we obtain some fixed-point results involving α-admissibility for multivalued F-contractions in the framework of partial b $\mathfrak{b}$ -metric spaces. Appropriate illustrations are provided to support the main results. Finally, an application is developed by demonstrating the existence of a solution to an integral equation.

Keywords

• Partial b $\mathfrak{b}$ -metric space (P b $\mathfrak{b}$ MS)
• α-admissible mappings
• Multivalued contraction mapping (MVCM)