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...

I: Introduction -- 1.1 Basic Concepts -- 1.2 Special Cases of Disjunctive Programs and Their Applications -- 1.3 Notes and References -- II: Basic Concepts and Principles -- 2.1 Introduction -- 2.2 Surrogate Constraints -- 2.3 Pointwise-Supremal Cuts -- 2.4 Basic Disjunctive Cut Principle -- 2.5...

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...