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Zolezzi, T.

Extended well-posedness of optimization problems. (English) Zbl 0873.90094

J. Optimization Theory Appl. 91, No. 1, 257-266 (1996).
Summary: The well-posedness concept introduced previously by the author [Nonlinear Anal., Theory Methods Appl. 25, No. 5, 437-453 (1995; Zbl 0841.49005)] 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.

Cited in 1 Review
Cited in 77 Documents

MSC:

90C30 Nonlinear programming

Keywords:

asymptotically minimizing sequences; stable optimization; well-posedness; many minimizers

Citations:

Zbl 0841.49005
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\textit{T. Zolezzi}, J. Optim. Theory Appl. 91, No. 1, 257--266 (1996; Zbl 0873.90094)
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References:

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