| Title:
|
Invariant approximation for fuzzy nonexpansive mappings (English) |
| Author:
|
Beg, Ismat |
| Author:
|
Abbas, Mujahid |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
136 |
| Issue:
|
1 |
| Year:
|
2011 |
| Pages:
|
51-59 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We establish results on invariant approximation for fuzzy nonexpansive mappings defined on fuzzy metric spaces. As an application a result on the best approximation as a fixed point in a fuzzy normed space is obtained. We also define the strictly convex fuzzy normed space and obtain a necessary condition for the set of all {$t$-best} approximations to contain a fixed point of arbitrary mappings. A result regarding the existence of an invariant point for a pair of commuting mappings on a fuzzy metric space is proved. Our results extend, generalize and unify various known results in the existing literature. (English) |
| Keyword:
|
fuzzy normed space |
| Keyword:
|
strictly convex fuzzy normed space |
| Keyword:
|
fixed point |
| Keyword:
|
fuzzy nonexpansive mapping |
| Keyword:
|
fuzzy best approximation |
| Keyword:
|
fuzzy Banach mapping |
| MSC:
|
41A50 |
| MSC:
|
41A65 |
| MSC:
|
46S40 |
| MSC:
|
47H09 |
| MSC:
|
47H10 |
| MSC:
|
54H25 |
| idZBL:
|
Zbl 1216.47083 |
| idMR:
|
MR2807708 |
| DOI:
|
10.21136/MB.2011.141449 |
| . |
| Date available:
|
2011-03-31T11:25:39Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141449 |
| . |
| 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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