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On the global convergence of interior-point nonlinear programming algorithms
(Springer HeidelbergHeidelbergAlemanha, 2010)
TWO NEW WEAK CONSTRAINT QUALIFICATIONS AND APPLICATIONS
(SIAM PUBLICATIONSPHILADELPHIA, 2012)
We present two new constraint qualifications (CQs) that are weaker than the recently introduced relaxed constant positive linear dependence (RCPLD) CQ. RCPLD is based on the assumption that many subsets of the gradients ...
On the relation between constant positive linear dependence condition and quasinormality constraint qualification
(Springer/plenum PublishersNew YorkEUA, 2005)
A Sequential Optimality Condition Related to the Quasi-normality Constraint Qualification and Its Algorithmic Consequences
(Society for Industrial and Applied Mathematics, 2019-03)
In the present paper, we prove that the augmented Lagrangian method converges to KKT pointsunder the quasinormality constraint qualification, which is associated with the external penalty theory. An interesting consequence ...
On Approximate KKT Condition and its Extension to Continuous Variational Inequalities
(SPRINGER/PLENUM PUBLISHERS, 2011)
In this work, we introduce a necessary sequential Approximate-Karush-Kuhn-Tucker (AKKT) condition for a point to be a solution of a continuous variational inequality, and we prove its relation with the Approximate Gradient ...
On Second-Order Optimality Conditions for Vector Optimization
(Springer/plenum PublishersNew YorkEUA, 2011)
TWO NEW WEAK CONSTRAINT QUALIFICATIONS AND APPLICATIONS
(Siam PublicationsPhiladelphia, 2012)
ON AUGMENTED LAGRANGIAN METHODS WITH GENERAL LOWER-LEVEL CONSTRAINTS
(Siam PublicationsPhiladelphiaEUA, 2007)