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Second order optimality conditions for generalized semi-infinite programming problems. (English) Zbl 0855.90129
Summary: We consider generalized semi-infinite programming problems. Second-order necessary and sufficient conditions for local optimality are given. The conditions are derived under assumptions such that the feasible set can be described by means of a finite number of optimal value functions. Since we do not require a strict complementary condition for the local reduction these functions are only of class C 1 . A sufficient condition for optimality is proven under much weaker assumptions.

MSC:
90C34Semi-infinite programming
90C30Nonlinear programming
90C31Sensitivity, stability, parametric optimization