Several Fixed-Point Theorems for F-Contractions in Complete Branciari b-Metric Spaces and Applications

Abstract EN

In this paper, we prove the existence and uniqueness of fixed points for F-contractions in complete Branciari b-metric spaces.

Furthermore, an example for supporting the related result is shown.

We also present the concept of the weak well-posedness of the fixed-point problem of the mapping T and discuss the weak well-posedness of the fixed-point problem of an F-contraction in complete Branciari b-metric spaces.

Besides, we investigate the problem of common fixed points for F-contractions in above spaces.

As an application, we apply our main results to solving the existence and uniqueness of solutions for a class of the integral equation and the dynamic programming problem, respectively.