Fuzzy b-metric spaces : fixed point results for psi-contraction correspondences and their application

Abstract

In this paper we introduce the concepts of ψ-contraction and monotone ψ-contraction correspondence in “fuzzy b-metric spaces” and obtain fixed point results for these contractive mappings. The obtained results generalize some existing ones in fuzzy metric spaces and “fuzzy b-metric spaces”. Further we address an open problem in b-metric and “fuzzy b-metric spaces”. To elaborate the results obtained herein we provide an example that shows the usability of the obtained results.