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Variational Methods in Convex Analysis
Authors:Jonathan M Borwein  Qiji J Zhu
Institution:(1) Faculty of Computer Science, Dalhousie University, Halifax, N. S., Canada, B3H 1W5;(2) Department of Mathematics, Western Michigan University, Kalamazoo, MI 49008, USA
Abstract:We use variational methods to provide a concise development of a number of basic results in convex and functional analysis. This illuminates the parallels between convex analysis and smooth subdifferential theory. Research was supported by NSERC and by the Canada Research Chair Program and National Science Foundation under grant DMS 0102496.
Keywords:convex analysis  fenchel duality  functional analysis  sandwich theorem  variational methods
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