Convex Functionals With Good Asymptotic Behavior On A Subset
Mounir El Maghri, B. Radi · 2010
We characterize the class of convex functionals that are asymptotically well behaved on a given convex set, instead of the whole space, by use of restriction functions. For subsets of (infinite) inequality system, the sequential stationarity becomes a Kuhn-Tucker system partially approximated. However, relaxing the condition of complementarity, we show that it does not change the class. Appli-cation to a new interior penalty method, penalizing the infinite inequalities, is given to illustrate the relevance of this result. 1