| Title:
|
Cyclic Type Fixed Point Results in 2-Menger Spaces (English) |
| Author:
|
CHOUDHURY, Binayak S. |
| Author:
|
BHANDARI, Samir Kumar |
| Author:
|
SAHA, Parbati |
| Language:
|
English |
| Journal:
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Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
| ISSN:
|
0231-9721 |
| Volume:
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54 |
| Issue:
|
2 |
| Year:
|
2015 |
| Pages:
|
5-20 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we introduce generalized cyclic contractions through $r$ number of subsets of a probabilistic 2-metric space and establish two fixed point results for such contractions. In our first theorem we use the Hadzic type $t$-norm. In another theorem we use a control function with minimum $t$-norm. Our results generalizes some existing fixed point theorem in 2-Menger spaces. The results are supported with some examples. (English) |
| Keyword:
|
2-Menger space |
| Keyword:
|
Cauchy sequence |
| Keyword:
|
fixed point |
| Keyword:
|
control function |
| Keyword:
|
$t$-norm |
| MSC:
|
54E40 |
| MSC:
|
54H25 |
| idZBL:
|
Zbl 1355.54037 |
| idMR:
|
MR3469688 |
| . |
| Date available:
|
2015-12-21T17:00:55Z |
| Last updated:
|
2018-01-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/144759 |
| . |
| Reference:
|
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