A linear extremal principle
Jay S. Treiman · 2003
The idea of using an extremal principle for optimization and nonsmooth analysis dates back to convex analysis. In this work an extremal principle in the vein of Mordukhovich is proven for the linear generalized gradient. It is tighter than Mordukhovich's since the normal cones are smaller. However it requires a locally epi-Lipschitz set, so its applications are more limited. Some applications to nonsmooth calculus and optimization problems are given.