| Abstract: | We study the smoothing method for the solution of generalized semi-infinite optimiza- tion 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. |
