STAR-SHAPED SETS IN NORMED SPACES

Authors
BOLTYANSKI V MARTINI H SOLTAN PS
Citation
V. Boltyanski et al., STAR-SHAPED SETS IN NORMED SPACES, Discrete & computational geometry, 15(1), 1996, pp. 63-71
Citations number
12
Categorie Soggetti
Computer Sciences, Special Topics","Mathematics, General","Computer Science Theory & Methods",Mathematics
Journal title
Discrete & computational geometry → ACNP
ISSN journal
01795376
Volume
15
Issue
1
Year of publication
1996
Pages
63 - 71
Database
ISI
SICI code
0179-5376(1996)15:1<63:SSINS>2.0.ZU;2-#
Abstract
We prove a generalization of the Krasnosel'ski theorem on star-shaped sets. Using d-segments in n-dimensional Minkowski spaces instead of us ual segments, the notions ''d-visibility'' and ''d-star-shapedness'' a re introduced. Our main aim is to give necessary and sufficient condit ions for d-star-shapedness in finite-dimensional normed spaces.