A theorem of Caristi-Kirk type for <em>b</em>-metric spaces



	A theorem of Caristi-Kirk type for b-metric spaces


	Fixed Point Theory, Volume 25, No. 1, 2024, 371-378, February 1st, 2024 DOI: 10.24193/fpt-ro.2024.1.23 Authors: Salvador Romaguera Abstract: The renowned Caristi-Kirk theorem states that a metric space is complete if and only if every Caristi mapping on it has a fixed point. In this note we extend this result to the setting of b-metric spaces. Key Words and Phrases: Fixed point, b-metric space, complete, Caristi-Kirk's theorem. 2010 Mathematics Subject Classification: 54H25, 54E35, 54E50, 47H10. Published on-line: February 1st, 2024. Fulltext pdf Back to volume's table of contents