A Convergence of Bivariate Functions aimed at the Convergence of Saddle Functions

Attouch, H. & Wets, R.J.-B. (1982). A Convergence of Bivariate Functions aimed at the Convergence of Saddle Functions. IIASA Collaborative Paper. IIASA, Laxenburg, Austria: CP-82-065

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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.

Item Type: Monograph (IIASA Collaborative Paper)
Research Programs: System and Decision Sciences - Core (SDS)
Depositing User: IIASA Import
Date Deposited: 15 Jan 2016 01:52
Last Modified: 27 Aug 2021 17:11
URI: https://pure.iiasa.ac.at/2053

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