2016/08/27 by Boris S. Mordukhovich, Mordukhovich, Boris, Nguyen Mau Nam +1
Computer Science · Mathematics · Engineering · #Optimization and Variational Analysis #Advanced Optimization Algorithms Research #Topology Optimization in Engineering
paper · pdf · doi:10.48550/arxiv.1608.07726
In this paper we introduce an enhanced notion of extremal systems for sets in locally convex topological vector spaces and obtain efficient conditions for set extremality in the convex case. Then we apply this machinery to deriving new calculus results on intersection rules for normal cones to convex sets and on infimal convolutions of support functions.