Constrained Optimization and Image Space Analysis

Volume 1: Separation of Sets and Optimality Conditions

  • Franco¬†Giannessi

Part of the Mathematical Concepts and Methods in Science and Engineering book series (MCSENG, volume 49)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Pages 1-46
  3. Back Matter
    Pages 383-395

About this book

Introduction

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.

Keywords

Convexity calculus design mechanics optimization optimization, image space analysis, applications of mathemat programming

Authors and affiliations

  • Franco¬†Giannessi
    • 1
  1. 1.University of PisaPisaItaly

Bibliographic information

  • DOI https://doi.org/10.1007/0-387-28020-0
  • Copyright Information Springer Science+Business Media, Inc. 2005
  • Publisher Name Springer, Boston, MA
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-0-387-24770-0
  • Online ISBN 978-0-387-28020-2
  • About this book