Existence of common coupled fixed point results in generalized E-fuzzy b-metric spaces

Abstract

In the present manuscript, we first initiate and establish some topological properties along with some contractions for generalized E-fuzzy b-metric spaces (E-Fb-MS). Also, we demonstrated the results of coupled coincidence fixed-points under the φ-contraction map in complete generalized E-Fb-MS. An application related to an integral equation in the generalized space is also substantiated. These outcomes of fixed point and fuzzy set theory extend the existing results in the literature.