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

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Authors

Abbas, Mujahid
Lael, Fatemeh
Saleem, Naeem

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Publisher

MDPI

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.

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Keywords

Fixed point, Correspondence, Fuzzy b-metric space, B-metric space

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Citation

Abbas, M., Lael, F. & Saleem, N. 2020, 'Fuzzy b-metric spaces : fixed point results for psi-contraction correspondences and their application', Axioms, vol. 9, no. 2, art. 36, pp. 1-12.