| Title:
|
Fixed points and best approximation in Menger convex metric spaces (English) |
| Author:
|
Beg, Ismat |
| Author:
|
Abbas, Mujahid |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
41 |
| Issue:
|
4 |
| Year:
|
2005 |
| Pages:
|
389-397 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We obtain necessary conditions for the existence of fixed point and approximate fixed point of nonexpansive and quasi nonexpansive maps defined on a compact convex subset of a uniformly convex complete metric space. We obtain results on best approximation as a fixed point in a strictly convex metric space. (English) |
| Keyword:
|
fixed point |
| Keyword:
|
convex metric space |
| Keyword:
|
uniformly convex metric space |
| Keyword:
|
strictly convex metric space |
| Keyword:
|
best approximation |
| Keyword:
|
nonexpansive map |
| MSC:
|
47H09 |
| MSC:
|
47H10 |
| MSC:
|
54H25 |
| idZBL:
|
Zbl 1109.47047 |
| idMR:
|
MR2195492 |
| . |
| Date available:
|
2008-06-06T22:46:39Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107968 |
| . |
| Reference:
|
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