On Monotone Decomposable Operators

The correspondence between the monotonicity of a (possibly) set-valued operator and the firm nonexpansiveness of its resolvent is a key ingredient in the convergence analysis of many optimization algorithms. Firmly nonexpansive operators form a ...

We investigate the variational inequality with pseudomonotone operators in the sense of Karamardian in Banach spaces. New existence results which extend many known results in infinite-dimensional spaces are derived under rather weak assumptions. New ...

We propose in this paper a unifying scheme for several algorithms from the literature dedicated to the solving of monotone inclusion problems involving compositions with linear continuous operators in infinite dimensional Hilbert spaces. We show that a ...