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: Hindawi Limited 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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spelling doaj-a318e98e2ea34587860739cff41dac6a2020-11-24T23:30:06ZengHindawi LimitedInternational 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.
collection DOAJ
language English
format Article
sources DOAJ
author J. M. Borwein
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.
author_facet J. M. Borwein
author_sort J. M. Borwein
title Tangent cones, starshape and convexity
title_short 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_sort tangent cones, starshape and convexity
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 1978-01-01
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].
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
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