TY - BOOK AU - Giannessi,Franco ED - SpringerLink (Online service) TI - Constrained Optimization and Image Space Analysis: Volume 1: Separation of Sets and Optimality Conditions T2 - Mathematical Concepts and Methods in Science and Engineering SN - 9780387280202 U1 - 519 23 PY - 2005/// CY - Boston, MA PB - Springer US KW - MATHEMATICS KW - GLOBAL ANALYSIS (MATHEMATICS) KW - COMBINATORICS KW - MATHEMATICAL OPTIMIZATION KW - MECHANICAL ENGINEERING KW - APPLICATIONS OF MATHEMATICS KW - OPTIMIZATION KW - ANALYSIS N1 - Elements of Convex Analysis and Separation -- to Image Space Analysis -- Alternative and Separation -- Optimality Conditions. Preliminary Results N2 - Over the last twenty years, Professor Franco Giannessi, a highly respected researcher, has been working on an approach to optimization theory based on image space analysis. His theory has been elaborated by many other researchers in a wealth of papers. Constrained Optimization and Image Space Analysis unites his results and presents optimization theory and variational inequalities in their light. It presents a new approach to the theory of constrained extremum problems, including Mathematical Programming, Calculus of Variations and Optimal Control Problems. Such an approach unifies the several branches: Optimality Conditions, Duality, Penalizations, Vector Problems, Variational Inequalities and Complementarity Problems. The applications benefit from a unified theory UR - http://dx.doi.org/10.1007/0-387-28020-0 ER -