On the Correlation between Banach Contraction Principle and Caristi’s Fixed Point Theorem in <i>b</i>-Metric Spaces

On the Correlation between Banach Contraction Principle and Caristi’s Fixed Point Theorem in <i>b</i>-Metric Spaces

We solve a question posed by E. Karapinar, F. Khojasteh and Z.D. Mitrović in their paper “A Proposal for Revisiting Banach and Caristi Type Theorems in <i>b</i>-Metric Spaces”. We also characterize the completeness of <i>b</i>-metric spaces with the help of a variant of the c...

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Bibliographic Details
Main Author: Salvador Romaguera
Format: Article
Language:English
Published: MDPI AG 2022-01-01
Series:Mathematics
Subjects:
b-metric space
complete
fixed point
the Banach contraction principle
Caristi’s fixed point theorem
Online Access:https://www.mdpi.com/2227-7390/10/1/136

Internet

https://www.mdpi.com/2227-7390/10/1/136

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