| Title:
|
Caristi's fixed point theorem and its equivalences in fuzzy metric spaces (English) |
| Author:
|
Abbasi, Naser |
| Author:
|
Mottaghi Golshan, Hamid |
| Language:
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English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 (print) |
| ISSN:
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1805-949X (online) |
| Volume:
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52 |
| Issue:
|
6 |
| Year:
|
2016 |
| Pages:
|
929-942 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this article, we extend Caristi's fixed point theorem, Ekeland's variational principle and Takahashi's maximization theorem to fuzzy metric spaces in the sense of George and Veeramani [A. George , P. Veeramani, On some results in fuzzy metric spaces, Fuzzy Sets and Systems. 64 (1994) 395-399]. Further, a direct simple proof of the equivalences among these theorems is provided. (English) |
| Keyword:
|
fuzzy metric space |
| Keyword:
|
Ekeland variational principle |
| Keyword:
|
Caristi's fixed point theorem |
| Keyword:
|
Takahashi's maximization theorem |
| MSC:
|
47H10 |
| MSC:
|
58E30 |
| idZBL:
|
Zbl 06707381 |
| idMR:
|
MR3607855 |
| DOI:
|
10.14736/kyb-2016-6-0929 |
| . |
| Date available:
|
2017-02-13T11:46:27Z |
| Last updated:
|
2018-01-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/145998 |
| . |
| Reference:
|
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