| Title:
|
Caristi's fixed point theorem in probabilistic metric spaces (English) |
| Author:
|
Fathi Vajargah, Kianoush |
| Author:
|
Mottaghi Golshan, Hamid |
| Author:
|
Arjomand Far, Abbas |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 (print) |
| ISSN:
|
1805-949X (online) |
| Volume:
|
57 |
| Issue:
|
1 |
| Year:
|
2021 |
| Pages:
|
46-59 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this work, we define a partial order on probabilistic metric spaces and establish some new Caristi's fixed point theorems and Ekeland's variational principle for the class of (right) continuous and Archimedean t-norms. As an application, a partial answer to Kirk's problem in metric spaces is given. (English) |
| Keyword:
|
probabilistic metric space |
| Keyword:
|
Caristi's fixed point |
| Keyword:
|
Archimedean t-norm |
| MSC:
|
47H10 |
| MSC:
|
58E30 |
| idZBL:
|
Zbl 07396255 |
| idMR:
|
MR4231856 |
| DOI:
|
10.14736/kyb-2021-1-0046 |
| . |
| Date available:
|
2021-07-30T12:48:17Z |
| Last updated:
|
2021-11-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/149026 |
| . |
| Reference:
|
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