On stability of fixed point inclusion for multivalued type contraction mappings in dislocatedb‐metric spaces with application

Abstract

In this paper, we introduce and prove fixed point results for some classes of ℑ‐contraction mappings on Pompeiu‐Hausdorff functionals in dislocated b‐metric spaces. We illustrate an example and graph to support our main results. We present the generalized Ulam‐Hyers stability of fixed point inclusion. Finally, we have applied our results to find a solution of Fredholm‐type integral inclusion in dislocated b‐metric spaces. Our results generalize some recent results and extend several theorems in the literature.