| Title:
|
Suzuki type fuzzy $\mathcal {Z}$-contractive mappings and fixed points in fuzzy metric spaces (English) |
| Author:
|
Gopal, Dhananjay |
| Author:
|
Martínez-Moreno, Juan |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 (print) |
| ISSN:
|
1805-949X (online) |
| Volume:
|
57 |
| Issue:
|
6 |
| Year:
|
2021 |
| Pages:
|
908-921 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, we propose the concept of Suzuki type fuzzy $\mathcal{Z}$-contractive mappings, which is a generalization of Fuzzy $\mathcal{Z}$-contractive mappings initiated in the article [S. Shukla, D. Gopal, W. Sintunavarat, A new class of fuzzy contractive mappings and fixed point theorems, Fuzzy Sets and Systems 350 (2018)85-95]. For this type of contractions suitable conditions are framed to ensure the existence of fixed point in $G$-complete as well as $M$-complete fuzzy metric spaces. A comprehensive set of examples are furnished to demonstrate the validity of the obtained results. (English) |
| Keyword:
|
fuzzy metric space |
| Keyword:
|
fuzzy $\mathcal {Z}$-contractive mapping |
| Keyword:
|
Suzuki type fuzzy $\mathcal {Z}$-contractive mappings |
| Keyword:
|
fixed point |
| MSC:
|
47H10 |
| MSC:
|
54H25 |
| idZBL:
|
Zbl 07478646 |
| idMR:
|
MR4376867 |
| DOI:
|
10.14736/kyb-2021-6-0908 |
| . |
| Date available:
|
2022-02-04T08:38:52Z |
| Last updated:
|
2022-02-24 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/149347 |
| . |
| Reference:
|
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