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Critical sets in parametric optimization. (English) Zbl 0599.90114

The authors consider the nonlinear parametric programming problem. They introduce the concept of a generalized critical point for the nonlinear programming problem as well as for the nonlinear parametric programming problem. The set of generalized critical points for the parametric programming problem is divided into five types and each type is studied separately. In the end of the paper the set of Kuhn-Tucker points as a subset of the set of generalized critical points is considered in more detail.
Reviewer: E.Tamm

MSC:

90C31 Sensitivity, stability, parametric optimization
90C30 Nonlinear programming
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