Nonsmooth Duality, Sandwich, and Squeeze Theorems

Given a nonlinear function h separating a convex and a concave function, we provide various conditions under which there exists an affine separating function whose graph is somewhere almost parallel to the graph of h. Such results blend Fenchel duality with a variational principle and are closely related to the Clarke

• Type: Journal
• Year: 2000
• Where: SIAMCO
• Authors: A. S. Lewis, R. E. Lucchetti
• Keywords: Affine Separating Function, Fenchel Duality, SIAMCO 2000, Variational Principle