On common best proximity pair theorems
The existence of common best proximity points for a finite commuting family of relatively nonexpansive mappings is proved. In a Hilbert space setting, the result is proved for an arbitrary family of commuting relatively nonexpansive mappings. Also the structure of the set consisting of all best prox...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2009
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| Sorozat: | Acta scientiarum mathematicarum
75 No. 3-4 |
| Kulcsszavak: | Matematika |
| Tárgyszavak: | |
| Online Access: | http://acta.bibl.u-szeged.hu/16329 |
| Tartalmi kivonat: | The existence of common best proximity points for a finite commuting family of relatively nonexpansive mappings is proved. In a Hilbert space setting, the result is proved for an arbitrary family of commuting relatively nonexpansive mappings. Also the structure of the set consisting of all best proximity points of a relatively nonexpansive map is discussed. |
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| Terjedelem/Fizikai jellemzők: | 707-721 |
| ISSN: | 0001-6969 |