| Title:
|
A result on best approximation in $p$-normed spaces (English) |
| Author:
|
Latif, Abdul |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
37 |
| Issue:
|
1 |
| Year:
|
2001 |
| Pages:
|
71-75 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We study best approximation in $p$-normed spaces via a general common fixed point principle. Our results unify and extend some known results of Carbone [ca:pt], Dotson [do:bs], Jungck and Sessa [ju:at], Singh [si:at] and many of others. (English) |
| Keyword:
|
best approximation |
| Keyword:
|
common fixed point |
| Keyword:
|
f-nonexpansive map |
| MSC:
|
41A65 |
| MSC:
|
47H10 |
| MSC:
|
54H25 |
| idZBL:
|
Zbl 1068.41055 |
| idMR:
|
MR1822766 |
| . |
| Date available:
|
2008-06-06T22:28:24Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107788 |
| . |
| Reference:
|
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| Reference:
|
[2] Carbone A.: Applications of fixed point theorems.Jnanabha 19 (1989), 149–155. Zbl 0718.41042, MR 1060662 |
| Reference:
|
[3] Dotson W. G.: Fixed point theorems for nonexpansive mappings on star-shaped subsets of Banach spaces.J. London Math. Soc. (2) 4 (1972), 408–410. MR 0296778 |
| 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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| 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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| . |
