“…The HPE method has been used for many authors [3,4,5,6,7,8,9,10,11,12,13,14] as a framework for the design and analysis of several algorithms for monotone inclusion problems, variational inequalities, saddlepoint problems and convex optimization. Its iteration-complexity has been established recently by Monteiro and Svaiter [15] and, as a consequence, it has proved the iteration-complexity of various important algorithms in optimization (which use the HPE method as a framework) including Tseng's forward-backward method, Korpelevich extragradient method and the alternating direction method of multipliers (ADMM) [12,15,16].…”