| Title:
|
Fixed point theorems of $G$-fuzzy contractions in fuzzy metric spaces endowed with a graph (English) |
| Author:
|
Shukla, Satish |
| Language:
|
English |
| Journal:
|
Communications in Mathematics |
| ISSN:
|
1804-1388 |
| Volume:
|
22 |
| Issue:
|
1 |
| Year:
|
2014 |
| Pages:
|
1-12 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $(X,M,\ast )$ be a fuzzy metric space endowed with a graph $G$ such that the set $V(G)$ of vertices of $G$ coincides with $X$. Then we define a $G$-fuzzy contraction on $X$ and prove some results concerning the existence and uniqueness of fixed point for such mappings. As a consequence of the main results we derive some extensions of known results from metric into fuzzy metric spaces. Some examples are given which illustrate the results. (English) |
| Keyword:
|
graph |
| Keyword:
|
partial order |
| Keyword:
|
fuzzy metric space |
| Keyword:
|
contraction |
| Keyword:
|
fixed point |
| MSC:
|
47H10 |
| MSC:
|
54A40 |
| MSC:
|
54E40 |
| MSC:
|
54H25 |
| idZBL:
|
Zbl 1298.54039 |
| idMR:
|
MR3233723 |
| . |
| Date available:
|
2014-08-27T08:50:45Z |
| Last updated:
|
2020-01-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143900 |
| . |
| Reference:
|
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