# Slater condition

### From Glossary

Originally for the purely inequality system with g convex, it means there exists for which More generally, for a mathematical program in standard form, it means there exists for which

[edit]

Mathematical program |

Commonly an optimization problem of the form

where is a subset of and is the domain of , and which map into real spaces. The function is called the objective function, which is typically real-valued. If not, then maps into with and the problem is a multiple objective problem. The feasible region is the collection of that simultaneously satisfy in and which are the program's constraints.