2. The method

The proximate gradient method is suggested by the following fixed-point property, which characterizes the solutions to Problem 1.

Proposition 1 (Proposition 3.1(iii) of ). In the context of Problem 1, let $γ \in] 0, + \infty [$ and pose

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The method

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Bibliography

(1) - ACKER (F.), PRESTEL (M.A.) - Convergence d'un schéma de minimisation alternée, - Ann. Fac. Sci. Toulouse V. Sér. Math., vol. 2, pp. 1–9 (1980).
(2) - ATTOUCH (H.), BOLTE (J.), REDONT (P.), SOUBEYRAN (A.) - Alternating proximal algorithms for weakly coupled...

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