Tangent cones, starshape and convexity

In the last few years various infinite dimensional extensions to Krasnoselski's Theorem on starshaped sets [14] have been made. These began with a paper by Edelstein and Keener [8] and have culminated in the papers by Borwein, Edelstein and O'Brien [3] [4] by Edelstein, Keener and O'B...

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Main Author: J. M. Borwein
Format: Article
Language:English
Published: Wiley 1978-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171278000460
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author J. M. Borwein
author_facet J. M. Borwein
author_sort J. M. Borwein
collection DOAJ
description In the last few years various infinite dimensional extensions to Krasnoselski's Theorem on starshaped sets [14] have been made. These began with a paper by Edelstein and Keener [8] and have culminated in the papers by Borwein, Edelstein and O'Brien [3] [4] by Edelstein, Keener and O'Brien [9] and finally by O'Brien [16].
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publishDate 1978-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-a318e98e2ea34587860739cff41dac6a2025-08-20T03:38:18ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251978-01-011445947710.1155/S0161171278000460Tangent cones, starshape and convexityJ. M. Borwein0Department of Mathematics, Dalhousie University, Nova Scotia, Halifax B3H 4H8, CanadaIn the last few years various infinite dimensional extensions to Krasnoselski's Theorem on starshaped sets [14] have been made. These began with a paper by Edelstein and Keener [8] and have culminated in the papers by Borwein, Edelstein and O'Brien [3] [4] by Edelstein, Keener and O'Brien [9] and finally by O'Brien [16].http://dx.doi.org/10.1155/S0161171278000460tangent conespseudo tangent conesstarshapeconvexityfunctional conditions.
spellingShingle J. M. Borwein
Tangent cones, starshape and convexity
International Journal of Mathematics and Mathematical Sciences
tangent cones
pseudo tangent cones
starshape
convexity
functional conditions.
title Tangent cones, starshape and convexity
title_full Tangent cones, starshape and convexity
title_fullStr Tangent cones, starshape and convexity
title_full_unstemmed Tangent cones, starshape and convexity
title_short Tangent cones, starshape and convexity
title_sort tangent cones starshape and convexity
topic tangent cones
pseudo tangent cones
starshape
convexity
functional conditions.
url http://dx.doi.org/10.1155/S0161171278000460
work_keys_str_mv AT jmborwein tangentconesstarshapeandconvexity