We study the smoothing method for the solution of generalized semi-infinite optimization problems from （O. Stein, G. Still： Solving semi-infinite optimization problems with interior point techniques, SIAM J. Control...We study the smoothing method for the solution of generalized semi-infinite optimization problems from （O. Stein, G. Still： Solving semi-infinite optimization problems with interior point techniques, SIAM J. Control Optim., 42（2003）, pp. 769-788）. It is shown that Karush-Kuhn-Tucker points of the smoothed problems do not necessarily converge to a Karush-Kuhn-Tucker point of the original problem, as could be expected from results in （F. Facchinei, H. Jiang, L. Qi： A smoothing method for mathematical programs with equilibrium constraints, Math. Program., 85（1999）, pp. 107-134）. Instead, they might merely converge to a Fritz John point. We give, however, different additional assumptions which guarantee convergence to Karush-Kuhn：Tucker points.展开更多
文摘We study the smoothing method for the solution of generalized semi-infinite optimization problems from （O. Stein, G. Still： Solving semi-infinite optimization problems with interior point techniques, SIAM J. Control Optim., 42（2003）, pp. 769-788）. It is shown that Karush-Kuhn-Tucker points of the smoothed problems do not necessarily converge to a Karush-Kuhn-Tucker point of the original problem, as could be expected from results in （F. Facchinei, H. Jiang, L. Qi： A smoothing method for mathematical programs with equilibrium constraints, Math. Program., 85（1999）, pp. 107-134）. Instead, they might merely converge to a Fritz John point. We give, however, different additional assumptions which guarantee convergence to Karush-Kuhn：Tucker points.
