# Fritz John conditions

### From Glossary

These extend Carathéodory's conditions to deal with inequality constraints:

- Suppose is in
, where
and are in smooth. Then, there exists multipliers
, not all zero, such that

These extend Carathéodory's conditions to deal with inequality constraints:

- Suppose is in
, where
and are in smooth. Then, there exists multipliers
, not all zero, such that