A Caristi type fixed point theorem which characterizes metric completeness
In this paper, we improve Caristi-Jachymski-Stein Jr 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-Stein Jr fixed point theorem...
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| Veröffentlicht in: | Filomat 2023, Vol.37 (10), p.3053-3061 |
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| container_title | Filomat |
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| creator | Bisht, Ravindra |
| description | In this paper, we improve Caristi-Jachymski-Stein Jr 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-Stein Jr fixed point theorem
characterizes the completeness of the metric space and the Cantor
intersection property. |
| doi_str_mv | 10.2298/FIL2310053B |
| format | Article |
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| ispartof | Filomat, 2023, Vol.37 (10), p.3053-3061 |
| issn | 0354-5180 2406-0933 |
| language | eng |
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| source | Jstor Complete Legacy; EZB-FREE-00999 freely available EZB journals |
| title | A Caristi type fixed point theorem which characterizes metric completeness |
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