Abstract : We propose an algorithm for computing the proximity operator of a sum of composite convex functions in Hilbert spaces and investigate its asymptotic behavior. Applications to best approximation and image recovery are described.
Patrick Louis Combettes, Dinh Dung, Bang Cong Vu. Proximity for Sums of Composite Functions. Journal of Mathematical Analysis and Applications, Elsevier, 2011, 380 (2), pp.680-688. ⟨10.1016/j.jmaa.2011.02.079⟩. ⟨hal-00643804⟩