dc.creator | Bounkhel, Messaoud | |
dc.date | 2008-03-01 | |
dc.date.accessioned | 2019-05-03T12:36:42Z | |
dc.date.available | 2019-05-03T12:36:42Z | |
dc.identifier | http://revistas.ufro.cl/ojs/index.php/cubo/article/view/1526 | |
dc.identifier.uri | http://revistaschilenas.uchile.cl/handle/2250/84257 | |
dc.description | Recently, Borwein and Moors (1998) introduced a new class of tangentially regular sets in IRn (called arc-wise essentially smooth sets). They characterized the sets S of this class in terms of arc-wise essential smoothness of the distance function dS. Very recently, the author (2002) gave an appropriate extension of this class to any Banach space X and he extended the above characterization to any Banach space X with a uniformly Gˆateaux differentiable norm. In this paper we extend the concept of arc-wise essentially smooth sets to set-valued mappings C : [0, T]⇉X (T > 0) and we will use this concept to establish an important application to nonconvex sweeping process. | en-US |
dc.format | application/pdf | |
dc.language | eng | |
dc.publisher | Universidad de La Frontera. Temuco, Chile. | en-US |
dc.relation | http://revistas.ufro.cl/ojs/index.php/cubo/article/view/1526/1380 | |
dc.source | CUBO, A Mathematical Journal; Vol. 10 Núm. 1 (2008): CUBO, A Mathematical Journal; 43–66 | es-ES |
dc.source | CUBO, A Mathematical Journal; Vol 10 No 1 (2008): CUBO, A Mathematical Journal; 43–66 | en-US |
dc.source | 0719-0646 | |
dc.source | 0716-7776 | |
dc.title | Arc-wise Essentially Tangentially Regular Set-valued Mappings and their Applications to Nonconvex Sweeping Process | en-US |
dc.type | info:eu-repo/semantics/article | |
dc.type | info:eu-repo/semantics/publishedVersion | |