Adv. Math. Econ. Volume 4, pp.1-23 (2002)
Abstract convexity and nonsmooth analysis: Global aspects
Department of Mathematics, Technion, Haifa 32000, Israel School of Information Technology and Mathematical Sciences, University of Ballarat, Victoria 3353, Australia
- We study some types of convergence of abstract convex functions. We show that under certain conditions, convergence of support sets of a sequence of abstract convex functions implies graph convergence of the support sets at a point and the global subdifferential. Some examples and counterexamples are given.
- Abstract convexity, support sets, subdifferential, convergence