Some results in function weighted b-metric spaces

Abstract

In this paper, we introduce F-b-metric space (function weighted b-metric space) as a generalization of the F-metric space (the function weighted metric space). We also propose and prove some topological properties of the F-b-metric space, the theorems of fixed point and the common fixed point for the generalized expansive mappings, and an application on dynamic programing.

Keywords

• fixed point
• common fixed point
• function weighted metric
• function weighted b-metric
• expansive mapping