%0 Journal Article
%T Modified Fej¨Śr sequences and applications
%A Junhong Lin
%A Lorenzo Rosasco
%A Silvia Villa
%A Ding-Xuan Zhou
%J Mathematics
%D 2015
%I arXiv
%X In this note, we propose and study the notion of modified Fej\'{e}r sequences. Within a Hilbert space setting, we show that it provides a unifying framework to prove convergence rates for objective function values of several optimization algorithms. In particular, our results apply to forward-backward splitting algorithm, incremental subgradient proximal algorithm, and the Douglas-Rachford splitting method including and generalizing known results.
%U http://arxiv.org/abs/1510.04641v1