Geodesic
A Caristi type fixed point theorem which characterizes metric completeness
Filomat, Tome 37 (2023) no. 10, p. 3053

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DOI

In this paper, we improve Caristi-Jachymski-SteinJr and Banach-Caristi type fixed point theorems by relaxing the strong continuity assumption of the mapping with some weaker continuity notions. As an application, we show that the weaker version of the Caristi-Jachymski-SteinJr fixed point theorem characterizes the completeness of the metric space and the Cantor intersection property.
DOI : 10.2298/FIL2310053B
Classification : 47H10, 54H25
Keywords: Fixed point, Caristi mapping, metric completeness 
Ravindra K Bisht. A Caristi type fixed point theorem which characterizes metric completeness. Filomat, Tome 37 (2023) no. 10, p. 3053 . doi: 10.2298/FIL2310053B
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     author = {Ravindra K Bisht},
     title = {A {Caristi} type fixed point theorem which characterizes metric completeness},
     journal = {Filomat},
     pages = {3053 },
     year = {2023},
     volume = {37},
     number = {10},
     doi = {10.2298/FIL2310053B},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2310053B/}
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