Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1143046 | Operations Research Letters | 2012 | 6 Pages |
Abstract
We characterize a wide class of regular convex functionals that are asymptotically well behaved on a convex set given by (infinite) inequalities, namely, those restricted functions whose stationary sequences (bounded or not) are minimizing ones. After showing the equivalence with the Kuhn-Tucker type stationarity, we prove that the class of such functions remains unchanged when the Kuhn-Tucker system is completely relaxed. This allows us to proceed for enlarging the scope of convergence of certain penalty (exterior as well as interior) methods including a new exterior penalization for infinite inequalities.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
M. El Maghri, B. Radi,