On a Decomposition Formula for the Resolvent Operator of the Sum of Two Set-Valued Maps with Monotonicity Assumptions

Author:

Adly Samir,Bourdin Loïc

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Control and Optimization

Reference27 articles.

1. Adly, S., Bourdin, L., Caubet, F.: On a decomposition formula for the proximity operator of the sum of two convex functions. J. Convex Anal. 26(3), 699–718 (2019)

2. Aragón Artacho, F.J., Campoy, R.: Computing the resolvent of the sum of maximally monotone operators with the averaged alternating modified reflections algorithm. J Optim Theory Appl. 181(3), 709–726 (2019)

3. Aubin, J.-P., Frankowska, H.: Set-valued analysis. Modern Birkhäuser Classics. Birkhäuser Boston, Inc., Boston, MA, (2009). Reprint of the 1990 edition [MR1048347]

4. Bauschke, H.H., Combettes, P.I.: Convex Analysis and Monotone Operator Theory in Hilbert Spaces. CMS Books in Mathematics/Ouvrages de Mathématiques de la SMC, 2nd edn. Springer, New York (2017)

5. Borwein, J.M.: Fifty years of maximal monotonicity. Optim. Lett. 4(4), 473–490 (2010)

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