https://ogma.newcastle.edu.au/vital/access/ /manager/Index ${session.getAttribute("locale")} 5 Error bounds in the discretisation of the input-constrained LQR problem https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:19350 Sat 24 Mar 2018 07:52:13 AEDT ]]> Maximal monotone inclusions and Fitzpatrick functions https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:27998 gap functions. We propose a very natural gap function for an arbitrary maximal monotone inclusion and will demonstrate how naturally this gap function arises from the Fitzpatrick function, which is a convex function, used to represent maximal monotone operators. This allows us to use the powerful strong Fitzpatrick inequality to analyse solutions of the inclusion. We also study the special cases of a variational inequality and of a generalized variational inequality problem. The associated notion of a scalar gap is also considered in some detail. Corresponding local and global error bounds are also developed for the maximal monotone inclusion.]]> Sat 24 Mar 2018 07:38:40 AEDT ]]>