Constrained Optimization and Image Space Analysis Volume 1: Separation of Sets and Optimality Conditions / [electronic resource] :
by Franco Giannessi.
- XII, 396 p. online resource.
- Mathematical Concepts and Methods in Science and Engineering ; 49 .
- Mathematical Concepts and Methods in Science and Engineering ; 49 .
Elements of Convex Analysis and Separation -- to Image Space Analysis -- Alternative and Separation -- Optimality Conditions. Preliminary Results.
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.