A Convergence of Bivariate Functions aimed at the Convergence of Saddle Functions
Abstract
Epi/hypo-convergence is introduced from a variational viewpoint. The known topological properties are reviewed and extended. Finally, it is shown that the (partial) Legendre-Fenchel transform is bicontinuous with respect to the topology induced by epi/hypoconvergence on the space of convex-concave bivariate functions.