Extremality of Convex Sets with Some Applications
  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. 
Boris Mordukhovich and Nguyen Mau Nam
math.OC