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

MSC:
90C30 Nonlinear programming
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