On the use of semi-closed sets and functions in convex analysis-Reference-Cited by-同舟云学术

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On the use of semi-closed sets and functions in convex analysis

Published:2015-01-01 Issue:1 Volume:13 Page:
ISSN:2391-5455
Container-title:Open Mathematics
language:
Short-container-title:

Author:

Zălinescu Constantin¹

Affiliation:

1. 1Faculty of Mathematics, University Alexandru Ioan Cuza, Iaşi, Romania/ Octav Mayer Institute of Mathematics, Romanian Academy, Iaşi, Romania

Abstract

AbstractThe main aim of this short note is to show that the subdifferentiability and duality results established by Laghdir (2005), Laghdir and Benabbou (2007), and Alimohammady et al. (2011), stated in Fréchet spaces, are consequences of the corresponding known results using Moreau-Rockafellar type conditions.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2015-0001/pdf

Reference4 articles.

1. Some remarks on subdifferentiability of convex functions electronic;Laghdir;Appl Math Notes,2005

2. Convex functions whose epigraphs are semi - closed : duality theory Ruse;Laghdir;Appl Math Sci,2007

3. Convex sub - differential sum rule via convex semi - closed functions with applications in convex programming;Alimohammady;Appl Math Lett,2011

4. Banach extension theorems for multifunctions revisited;Zălinescu;Math Methods Oper Res,2008

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