An Enhanced Baillon–Haddad Theorem for Convex Functions Defined on Convex Sets
Author:
Funder
Fondo Nacional de Desarrollo Científico y Tecnológico
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Control and Optimization
Link
https://link.springer.com/content/pdf/10.1007/s00245-019-09626-6.pdf
Reference17 articles.
1. Abbas, B., Attouch, H.: Dynamical systems and forward-backward algorithms associated with the sum of a convex subdifferential and a monotone cocoercive operator. Optimization 64(10), 2223–2252 (2015)
2. Attouch, H., Briceño, A.L., Combettes, P.-L.: A parallel splitting method for coupled monotone inclusions. SIAM J. Control Optim. 48(5), 3246–3270 (2010)
3. Baillon, J.-B., Haddad, G.: Quelques propriétés des opérateurs angle-bornés et $n$-cycliquement monotones. Isr. J. Math. 26(2), 137–150 (1977)
4. Bauschke, H.-H., Combettes, P.-L.: The Baillon-Haddad theorem revisited. J. Convex Anal. 17(3–4), 781–787 (2010)
5. Bauschke, H.-H., Combettes, P.-L.: Convex analysis and monotone operator theory in Hilbert spaces, 2nd edn. CMS Books Math./Ouvrages Math. SMC, Springer, Cham (2017)
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