Fixed Point Theorems for Generalized F-Contractions and Generalized F-Suzuki-Contractions in Complete Dislocated Sb-Metric Spaces

Abstract

In this paper, first we describe the notion of dislocated S b-metric space and then we introduce the new notions of generalized F-contraction and generalized F-Suzuki-contraction in the setup of dislocated S b-metric spaces. We establish some fixed point theorems involving these contractions in complete dislocated S b-metric spaces. We also furnish some examples to verify the effectiveness and applicability of our results.