As it is not always true that the distance between points in fuzzy rectangular metric spaces one, so we introduce notions of and b-rectangular metric-like set theory generalize many existing results, which can be regarded as main advantage this paper. In these spaces, symmetry property preserved, but self may equal to one. We discuss topological properties demonstrate neither Hausdorff. Using α...

In this paper, we introduce the new definitions and fixed-point theorems for \((\hat{\alpha}-\hat{\psi})\)-Geraghty contraction with an aid of simulation function \(\zeta:[0, \infty) \times[0, \rightarrow \mathbb{R}\) in generalized metric space satisfying following condition:if \(\exists \hat{\beta} \in \mathcal{F}\) such that all \(r, s \mathfrak{X}\), then have\(\zeta[\hat{\alpha}(r, s)(d(\m...