… property of one operator. Instead, in our approach, although the continuous monotone
operator must still be evaluated twice, we exploit the cocoercivity of one operator by evaluating it …

… the sum of maximal monotone and inverse-strongly monotone operators in Hilbert spaces. …
sum of maximal monotone operators and Lipschitz continuous monotone operators in Banach …

… operator defined on the whole E, we examine the stochastic version of the Forward-Backward
algorithm … A + B is maximal, it is a standard fact of the monotone operator theory that for …

… produced by a Forward–Backward algorithm, involving two random maximal monotone
operators and a sequence of decreasing step sizes. Defining a mean monotone operator as an …

… From Section 12.3 on, we focus on the case when the monotone operator is continuous and
linear; the key concept is the simple yet extremely useful decomposition of the operator into …

… So we are led to enlarge the class of maximally monotone operators A so that, first, B − γ
will fall into this new class, and, second, that (FB) will have good convergence properties. So …

… a forward–backward splitting algorithm for approximating a zero of the sum of an α-inverse
strongly monotone operator and a maximal monotone operator… in the algorithm and prove that …

… of the theory of maximal monotone operators and to the … forwardbackward-forward splitting
algorithm for finding the zeros of the sum of a maximally monotone operator and a monotone …

… monotone operators and operator splitting methods, with a focus on convex optimization. A
very wide variety of algorithms, … Therefore the iterates of the forward step method on F diverge …

… For the important particular case of strongly pseudo-monotone operators we will show
exponential convergence of the trajectories to the unique solution of VI(F, C). To this end we need …