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 ...

This result is obtained by first showing that the same result holds for inequality constrained nonlinear least-squares. As a consequence, the presence of (possibly nonconvex) equality/inequality ...