Novel results of α ∗ $\alpha _{\ast }$ -ψ-Λ-contraction multivalued mappings in F-metric spaces with an application

Abstract

Abstract The objective of this paper is to introduce a new motif of α ∗ $\alpha _{\ast }$ -ψ-Λ-contraction multivalued mappings, some novel fixed-point and coincidence-point results for this contraction will be investigated in the scope of F-metric spaces, and some examples are given to illustrate our main results and we derive the existence and uniqueness of a solution of a functional equation to support our main result.

Keywords

• Fixed and coincidence points
• F-metric spaces
• α ∗ $\alpha _{\ast }$ -ψ-Λ-contraction
• Functional equations