Perturbation theory in mathematical programming and its applications

the long version

Perturbation Theory in Mathematical Programming and its Applications represents the sum of the author's many years of research of local parametric optimization in the finite-dimensional case. This book is the first to present a clear and complete formulation of the main perturbation theory problems for finite-dimensional optimization, as well as new mathematical methods to analyze these problems. Using a unified approach, the author has developed a general perturbation theory for finite-dimensional extremum problems. Within the framework of this theory, methods for studying perturbed problems in zero-, first- and second-order approximations have been developed.