Adv. Math. Econ. Volume 4, pp.1-23 (2002)

Abstract convexity and nonsmooth analysis: Global aspects

A.D.Ioffe, A.M.Rubinov

	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