Perturbation Theory in Mathematical Programming and Its Applications

PART I: FOUNDATIONS OF THEORY AND METHODS OF FINITE-DIMENSIONAL OPTIMIZATION: Basic Concepts, Problems and Fields of Applications of Perturbation Theory Perturbation Theory of Smooth Mathematical Programming Problems (Main Results) Examples of Studies in Parametric Optimization Problems, Applications of Perturbation Theory PART II: BASIC PERTURBATION THEORY IN FINITE-DIMENSIONAL OPTIMIZATION: Elements of Convex and Nonconvex Analysis Optimality Criteria in Generating Problems PART III: PERTURBATION THEORY IN MATHEMATICAL PROGRAMMING: General Perturbation Theory Perturbation Theory for Smooth Mathematical Programming Problems Perturbation Theory for Convex Programming Problems Theory of Minimax Perturbations under Bound Constraints.