| Title:
|
Fixed point results on a metric space endowed with a finite number of graphs and applications (English) |
| Author:
|
Argoubi, Hajer |
| Author:
|
Samet, Bessem |
| Author:
|
Turinici, Mihai |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
64 |
| Issue:
|
1 |
| Year:
|
2014 |
| Pages:
|
241-250 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, we consider self-mappings defined on a metric space endowed with a finite number of graphs. Under certain conditions imposed on the graphs, we establish a new fixed point theorem for such mappings. The obtained result extends, generalizes and improves many existing contributions in the literature including standard fixed point theorems, fixed point theorems on a metric space endowed with a partial order and fixed point theorems for cyclic mappings. (English) |
| Keyword:
|
fixed point |
| Keyword:
|
graph |
| Keyword:
|
metric space |
| Keyword:
|
order |
| Keyword:
|
cyclic map |
| MSC:
|
05C40 |
| MSC:
|
06A06 |
| MSC:
|
47H10 |
| idZBL:
|
Zbl 06391490 |
| idMR:
|
MR3247458 |
| DOI:
|
10.1007/s10587-014-0097-6 |
| . |
| Date available:
|
2014-09-29T10:01:43Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143963 |
| . |
| Reference:
|
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| Reference:
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