Journal of Applied Analysis
Vol. 2, No. 1, pp. 13-39 (1996)
Epi/hypo-convergence: The Slice topology and Saddle points approximation
A. BaghAdib Bagh
Department of Mathematics
University of California
Davis, CA 95616
Abstract: We show that the slice convergence of the convex parents of saddle functions implies the epi/hypo-convergence of these saddle functions and hence the convergence of their saddle points. We also obtain conditions for the slice convergence of sums of convex functions. We then apply these results to problems in convex programming, optimal control and Chebyshev approximations.
Keywords: Slice topology, epi/hypo-convergence, saddle points, convexprogramming, optimal control, Chebyshev approximations
Classification (MSC2000): 49R99, 90C25, 54B20
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