- On the use of semi-closed sets and functions in convex analysis Constantin Zalinescu(zalinescuaic.ro) Abstract: The main aim of this short note is to show that the sub\-differentiability and duality results established by Laghdir (2005), Laghdir and Benabbou (2007), and Alimohammady \emph{et al.}\ (2011), stated in Fréchet spaces, are consequences of the corresponding known results using Moreau--Rockafellar type conditions. Keywords: Semi-closed convex set, semi-closed convex function, semi-closure, semi-interior, sub\-differential, duality Category 1: Convex and Nonsmooth Optimization (Convex Optimization ) Citation: Download: [PDF]Entry Submitted: 04/11/2013Entry Accepted: 04/11/2013Entry Last Modified: 04/11/2013Modify/Update this entry Visitors Authors More about us Links Subscribe, Unsubscribe Digest Archive Search, Browse the Repository Submit Update Policies Coordinator's Board Classification Scheme Credits Give us feedback Optimization Journals, Sites, Societies Optimization Online is supported by the Mathematical Optmization Society.