Weak sharp minima for semi-infinite optimization problems with applications

Xi Yin Zheng, Xiaoqi Yang

Research output: Journal article publicationJournal articleAcademic researchpeer-review

27 Citations (Scopus)


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].
Original languageEnglish
Pages (from-to)573-588
Number of pages16
JournalSIAM Journal on Optimization
Issue number2
Publication statusPublished - 1 Dec 2007


  • Normal cone
  • Semi-infinite optimization
  • Sharp minima
  • Subdifferenlial
  • Weak sharp minima

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics
  • Analysis
  • Computer Science (miscellaneous)


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