First - Order Conditions for Isolated Locally Optimal Solutions 1
نویسنده
چکیده
Abstrac t . There are well-known first-order sufficient conditions for a point x o to be a strict locally optimal solution of a nonlinear programming problem. In this paper, we show that these conditions also guarantee that Xo is an isolated stationary point of the considered program provided a constraint qualification holds. This result has an interesting application to finite convergence of algorithms along the lines suggested by AI-Khayyal and Kyparisis.
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