Stability of error bounds for convex constraint

نویسندگان

  • Alexander Kruger
  • Huynh Van Ngai
  • Michel Théra
چکیده

5 This paper studies stability of error bounds for convex constraint systems 6 in Banach spaces. We show that certain known sufficient conditions for local 7 and global error bounds actually ensure error bounds for the family of func8 tions being in a sense small perturbations of the given one. A single inequality 9 as well as semi-infinite constraint systems are considered. 10 Mathematics Subject Classification: 49J52, 49J53, 90C30 11

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تاریخ انتشار 2010