Lagrangian conditions for a nonsmooth vector-valued minimax

B. D. Craven
Department of Mathematics and Statistics
University of Melbourne
Parkville, VIC 3052
Australia
and
D. V. Luu
Institute of Mathematics
P.O. Box 631, Bo Ho
10000 Hanoi
Vietnam

Abstract:

Lagrangian necessary and sufficient conditions for a nonsmooth vector-valued minimax in terms of Clarke's generalized Jacobians are established under suitable invexity hypotheses.