Convexity of \(\delta\)-suns and \(\gamma\)-suns in asymmetric spaces. (English) Zbl 07895152
Summary: Convexity of \(\delta\)-suns and \(\gamma\)-suns is studied in asymmetric spaces with due consideration of geometric properties of the spaces. Known results for usual normed spaces are carried over to the case of general asymmetric normed spaces.
MSC:
| 46B20 | Geometry and structure of normed linear spaces |
| 52A21 | Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) |
| 41A65 | Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) |
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