Application in Vector Optimization

Vector optimization is a typical application of \(-C\) or \(-\mathcal {K}\) representing functionals. Here, we study general problems of vector optimization involving those with vector-valued objective map. We investigate vector optimization problems with a fixed order structure given by a convex cone C, which is sometimes assumed to be pointed, and those with a variable order structure. Another topic are so-called conditional vector optimization problems, where individual objective functions and/or constraints can “vanish.”