I: Convex Analysis -- 1: Linear Subspaces and Affine Manifolds -- 2: Convex Sets -- 3: Convex Cones -- 4: Convex Functions -- II: Optimality Conditions and Duality -- 5: Stationary Point Optimality Conditions with Differentiability -- 6: Constraint Qualifications -- 7: Convex Programming without...

In this study we investigate the constraint qualifications for the Kuhn-Tucker conditions to hold for an inequality-constrained nonlinear programming problem. We present the qualifications in a consistent manner so that the interrelationships between them are highlighted. This gives rise...