In this paper, we consider the metric subregularity property for a piecewise linear multifunction (with respect to a piecewise linear constraint) as well as the weak sharp minimum property for a piecewise linear constrained multiobjective optimization problem. Of these properties we pay special attention to the global ones. We first provide a result on a certain relationship between two nonnega...

Valued constraint satisfaction problems (VCSPs) are a large class of combinatorial optimisation problems. The computational complexity VCSPs depends on the set allowed cost functions in input. Recently, all for finite sets over domains has been classified. Many natural problems, however, cannot be formulated as domain. We initiate systematic investigation infinite-domain with piecewise linear h...