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Extended well-posedness of optimization problems

Abstract

The well-posedness concept introduced in Ref. 1 for global optimization problems with a unique solution is generalized here to problems with many minimizers, under the name of extended well-posedness. It is shown that this new property can be characterized by metric criteria, which parallel to some extent those known about generalized Tikhonov well-posedness.

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Additional information

This work was partially supported by MURST, Fondi 40%, Rome, Italy.

Communicated by F. Giannessi

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Zolezzi, T. Extended well-posedness of optimization problems. J Optim Theory Appl 91, 257–266 (1996). https://doi.org/10.1007/BF02192292

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Key Words

  • Well-posed optimization problems
  • asymptotically minimizing sequences
  • stable optimization problems