Abstract
In this paper, we are concerned with a nonlinear bilevel optimization problem (P). Using the Karush-Kuhn-Tucker (KKT) conditions associated to the lower-level problem, we reformulate the initial problem (P) into a one-level problem with equality and inequality constraints (P⁎). Applying approximate Hessians, introduced by Jeyakumar and Luc, we establish second order necessary and sufficient optimality conditions for (P⁎). To illustrate our findings, examples are also given.
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