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http://hdl.handle.net/10397/6107
| Title: | Weak sharp minima for semi-infinite optimization problems with applications | Authors: | Zheng, XY Yang, XQ |
Issue Date: | 2007 | Source: | SIAM journal on optimization, 2007, v. 18, no. 2, p. 573-588 | Abstract: | We study local weak sharp minima and sharp minima for smooth semi-infinite optimization problems SIP. We provide several dual and primal characterizations for a point to be a sharp minimum or a weak sharp minimum of SIP. As applications, we present several sufficient and necessary conditions of calmness for infinitely many smooth inequalities. In particular, we improve some calmness results in [R. Henrion and J. Outrata, Math. Program., 104 (2005), pp. 437–464]. | Keywords: | Semi-infinite optimization Sharp minima Weak sharp minima Subdifferential Normal cone |
Publisher: | Society for Industrial and Applied Mathematics | Journal: | SIAM journal on optimization | ISSN: | 1052-6234 | EISSN: | 1095-7189 | DOI: | 10.1137/060670213 | Rights: | © 2007 Society for Industrial and Applied Mathematics |
| Appears in Collections: | Journal/Magazine Article |
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| Zheng_Minima_Semi-infinite_Optimization.pdf | 193.68 kB | Adobe PDF | View/Open |
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