On the Union of Closed Balls Property

Chadi Nour () and Jean Takche ()
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Chadi Nour: Lebanese American University
Jean Takche: Lebanese American University

Journal of Optimization Theory and Applications, 2012, vol. 155, issue 2, No 2, 376-389

Abstract: Abstract We provide a new analytical proof for a strengthened version of the variable radius form of the union of closed balls conjecture. We also introduce a strong version of this conjecture and discuss its validity.

Keywords: Exterior and interior sphere conditions; Union of closed balls property; Proximal analysis; Nonsmooth analysis (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/s10957-012-0068-8

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