Prox-regular sets and Legendre-Fenchel transform related to separation properties-Reference-Cited by-同舟云学术

Prox-regular sets and Legendre-Fenchel transform related to separation properties

Published:2020-12-23 Issue: Volume: Page:1-33
ISSN:0233-1934
Container-title:Optimization
language:en
Short-container-title:Optimization

Author:

Adly Samir¹,Nacry Florent²,Thibault Lionel³

Affiliation:

1. Laboratoire XLIM, Université de Limoges, Limoges, France

2. Laboratoire de Mathématiques et Physique, Université de Perpignan Via Domitia, Perpignan, France

3. Institut Montpelliérain Alexander Grothendieck, Université de Montpellier, Montpellier, France

Funder

Horizon 2020 Research and Innovation Programme

Publisher

Informa UK Limited

Subject

Applied Mathematics,Management Science and Operations Research,Control and Optimization

Link

https://www.tandfonline.com/doi/pdf/10.1080/02331934.2020.1852404

Reference37 articles.

1. On Conjugate Convex Functions

2. Legendre A-M. Mémoire sur l'intégration de quelques équations aux différences partielles. Histoire de l'Académie royale des sciences. 1787. p. 309–351.

3. Bishop E, Phelps RR. The support functionals of convex sets. In Klee V, editor. Convexity. Providence (RI): American Mathematical Society; 1963. p. 27–35. (vol. VII of Proceedings of symposia in pure mathematics).

4. Clarke FH. Optimization and nonsmooth analysis. 2nd ed. Philadelphia (PA): Society for Industrial and Applied Mathematics (SIAM); 1990. (Classics in applied mathematics; 5).

5. Mordukhovich BS. Variational analysis and generalized differentiation I. Berlin: Springer; 2006. (Grundlehren series; vol. 330).

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