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Note on Mangasarian–Fromovitz-Like Constraint QualificationsWe consider constraint qualifications in nonlinear programming which can be reduced

Necessary optimality conditions for constrained optimization problems under relaxed constraint qualifications problems under the constraint qualification-type conditions significantly weaker than Robinson's constraint

Sensitivity analysis for cone-constrained optimization problems under the relaxed constraint qualifications with complementarity constraints. © 2005 INFORMS.

К условиям регулярности в математическом программировании оптимизации и является достаточно общим условием регулярности (constraint qualification) в задачах

Strong Second Order Necessary Optimality ConditionsConstraint Qualifications

On implicit function theorems at abnormal points neighborhood of a given solution (x*, σ*), where Robinson's constraint qualification may be violated. We

CQ-free optimality conditions for copositive programming problems with isolated immobile indices of immobile indices and their immobility orders and do not require the Slater constraint qualification

On optimality conditions for linear copositive programming to linear constraints defined in a conic (infinite) index set. Using the equivalent formulation

Directional stability theorem and directional metric regularityWe develop a new regularity concept, unifying metric regularity, Robinson's constraint

On strong and weak second-order necessary optimality conditions for nonlinear programming. These conditions are closely related to second-order constraint qualifications, which guarantee

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