STABLE LOCAL MINIMIZERS IN SEMIINFINITE OPTIMIZATION - REGULARITY AND 2ND-ORDER CONDITIONS

[摘要] Certain stability concepts for local minimizers of nonlinear programs require, on the one hand, first-order regularity assumptions (lower semicontinuity or metric regularity or pseudo-lipschitz properties) on the constraint set mapping and, on the other hand, second-order assumptions on the minimizer (being strict of order two or satisfying a second-order sufficient optimality condition). In this paper, we study these questions with respect to nonlinear semi-infinite optimization problems. In particular, we discuss the equivalence of several constraint qualifications and metric regularity for the feasible set. Further, we show that two forms of second-order conditions for semi-infinite programs, recently given in papers by Shapiro and by Hettich and Still, may be unified by an idea of so-called smoothing majorants.

[发布日期] 1994-12-20

[效力级别]  Proceedings Paper

[关键词] SEMIINFINITE OPTIMIZATION;METRIC REGULARITY;2ND-ORDER OPTIMALITY CONDITIONS;STABLE LOCAL MINIMIZERS