The union of uniform closed balls conjecture

Nour, Chadi; Stern, Ronald J.; Takche, Jean

dc.creator	Nour, Chadi	en_US
dc.creator	Stern, Ronald J.	en_US
dc.creator	Takche, Jean	en_US
dc.date.accessioned	2016-03-30T08:58:52Z
dc.date.available	2016-03-30T08:58:52Z
dc.date.datecopyrighted	2009
dc.date.issued	2016-03-30
dc.identifier.issn	0324-8569	en_US
dc.identifier.uri	http://hdl.handle.net/10725/3442
dc.description.abstract	The exterior sphere condition is compared to proximal smoothness, and examples are provided, which show that the two properties are not necessarily equivalent. Then conditions are given under which equivalence holds, and an open question involving the union of uniform closed balls property is stated in the form of a conjecture.	en_US
dc.language.iso	en	en_US
dc.title	The union of uniform closed balls conjecture	en_US
dc.type	Article	en_US
dc.description.version	Published	en_US
dc.creator.school	SAS	en_US
dc.creator.identifier	200502681	en_US
dc.creator.identifier	198790400
dc.author.woa	N/A	en_US
dc.creator.department	Computer Science and Mathematics	en_US
dc.description.embargo	N/A	en_US
dc.relation.ispartof	Control and Cybernetics	en_US
dc.description.volume	38	en_US
dc.description.issue	4B	en_US
dc.keywords	Proximal smoothness	en_US
dc.keywords	Interior and exterior sphere conditions	en_US
dc.keywords	Union of uniform closed balls property	en_US
dc.keywords	Wedged sets	en_US
dc.keywords	Nonsmooth analysis	en_US
dc.identifier.ctation	Nour, C., Stern, R. J., & Takche, J. (2009). The union of uniform closed balls conjecture. Control Cybern, 38(4), 1525-1534.	en_US
dc.creator.email	chadi.nour@lau.edu.lb
dc.creator.email	jtakchi@lau.edu.lb
dc.identifier.url	https://www.researchgate.net/profile/Chadi_Nour/publication/228532484_The_union_of_uniform_closed_balls_conjecture/links/53e8c5c80cf21cc29fdc986e.pdf