Fuzzy b-Metric Spaces: Fixed Point Results for <em>ψ</em>-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.

Keywords

• fixed point
• correspondence
• fuzzy ?-metric space
• ?-metric space