This paper prensents a detailed derivation and description of a new method for solving equality constrained optimization problem. The new method is based upon the quadratic penalty function, but uses ...

Each equality constraint and each active inequality constraint reduce the dimension (degrees of freedom) of the optimization problem. In practice, the active constraints can be satisfied only with ...

Further several constraint qualifications sufficient for the above newly defined constraint qualifications are introduced for (MOP) with no equality constraints. Relationships between them are ...