Constrained Optimization and Image Space Analysis Volume 1: Separation of Sets and Optimality Conditions /

• Main Author: Giannessi, Franco (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Springer US, 2005.
• Series: Mathematical Concepts and Methods in Science and Engineering ; 49
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Applied mathematics.; Engineering mathematics.; Mathematical optimization.; Combinatorics.; Mechanical engineering.; Applications of Mathematics.; Optimization.; Analysis.; Mechanical Engineering.
• Physical Description: XII, 396 p. online resource.
• ISBN: 9780387280202

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.