| Автор | Mabizela, Sizwe |
| Дата выпуска | 1989 |
| dc.description | ABSTRACTIn this note we extend the concept of best approximation to linear 2-normed spaces. We define proxi-minal, semi-Chebyshev, and Chebyshev sets in linear 2-normed spaces. A linear 2-normed space X is said to be strictly convex if for all X,Y,Z, ϵ x, ||x+y.z|| = ||x,z|| + y,z||, ||x,y|| = 1 and z ϵ. V (x.u) imply x = y. We prove tat a linear 2-normed space X is strictly convex if and only if all convex sets in X are semi-Chebyshev. |
| Формат | application.pdf |
| Издатель | Taylor & Francis Group |
| Копирайт | Copyright Taylor and Francis Group, LLC |
| Тема | 52A99 |
| Название | A CHARACTERIZATION OF STRICTLY CONVEX LINEAR 2-NOBMED SPACES |
| Тип | research-article |
| DOI | 10.1080/16073606.1989.9632176 |
| Electronic ISSN | 1727-933X |
| Print ISSN | 1607-3606 |
| Журнал | Quaestiones Mathematicae |
| Том | 12 |
| Первая страница | 201 |
| Последняя страница | 204 |
| Аффилиация | Mabizela, Sizwe; The Pennsylvania State Univ, Dept of Mathematics |
| Выпуск | 2 |
| Библиографическая ссылка | Diminnie, C., Gäller, S. and White, A. 1974. Strictly convex linear 2-normed spaces. Math. Nachr., 59: 319–324. |
| Библиографическая ссылка | Hirschfeld, R. A. 1958. On best approximations in normed vector spaces. Nieuw Arch. Wisk., 6: 41–51. |
| Библиографическая ссылка | Iséki, K. 1975. Non nonexpansive mappings in strictly convex linear 2-normed spaces. Math. Sent. Notes Kobe Univ., 3: 125–129. |
