| Title:
|
The variational principle of fixed point theorems in certain fuzzy topological spaces (English) |
| Author:
|
Balasubramaniam, P. |
| Author:
|
Sankar, S. Murali |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
37 |
| Issue:
|
2 |
| Year:
|
2001 |
| Pages:
|
[147]-158 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The main purpose of this paper is to introduce the concept of $F$-type fuzzy topological spaces. Further variational principle and Caristi’s fixed point theorem have been extended in the $F$-type fuzzy topological spaces. (English) |
| Keyword:
|
$F$-type fuzzy topological space |
| Keyword:
|
variational principle |
| MSC:
|
03E72 |
| MSC:
|
47H10 |
| MSC:
|
54A40 |
| MSC:
|
54H25 |
| idZBL:
|
Zbl 1265.54034 |
| idMR:
|
MR1839224 |
| . |
| Date available:
|
2009-09-24T19:37:56Z |
| Last updated:
|
2015-03-26 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/135396 |
| . |
| Reference:
|
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| Reference:
|
[2] Ekeland J.: On the variational principle.J. Math. Anal. Appl. 47 (1974), 324–353 Zbl 0286.49015, MR 0346619, 10.1016/0022-247X(74)90025-0 |
| Reference:
|
[3] Fang J. X.: The variational principle and fixed point theorems in certain topological spaces.J. Math. Anal. Appl. 202 (1996), 398–412 Zbl 0859.54042, MR 1406237, 10.1006/jmaa.1996.0323 |
| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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[9] Schweizer B., Sklar A.: Statistical metric spaces.Pacific J. Math. 10 (1960), 314–334 Zbl 0096.33203, MR 0115153 |
| Reference:
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| Reference:
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| . |
