Characterization of best approximations in metric linear spaces
β Scribed by Sizwe Mabizela
- Publisher
- Springer
- Year
- 2003
- Tongue
- English
- Weight
- 331 KB
- Volume
- 19
- Category
- Article
- ISSN
- 1573-8175
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## Abstract In this paper the concepts of strictly convex and uniformly convex normed linear spaces are extended to metric linear spaces. A relationship between strict convexity and uniform convexity is established. Some existence and uniqueness theorems on best approximation in metric linear space
## A Metric Characterization of Normed Linear Spaces By SIEGFRIED GAHLER of Berlin and GRATTAN MURPHY\*) of Orono (Eingegangen am 18.12. 1980) \*) The research in this paper was carried out while the second author was a visitor at the Akademie der Wissenschaften der DDR under an exchange agreement