Description:
GAP functions are useful for solving optimization problems, but the literature contains a variety of different concepts of GAP functions. It is interesting to point out that these concepts have many similarities. Here we introduce G-coupling functions, thus presenting a way to take advantage of these common properties.
Description:
In problems of vector optimization, with preferences that are not necessarily a pre-order relation, the strongly star shaped cones are very important in order to get a scalarization of these problems. In this work we present some properties of these cones and also a characterization for a special type.