Recent Developments in Well-Posed Variational Problems
Author:   Roberto Lucchetti ,  Julian Revalski
Publisher:   Springer
Edition:   1995 ed.
Volume:   331
ISBN:  

9780792335764


Pages:   268
Publication Date:   30 June 1995
Format:   Hardback
Availability:   In Print   Availability explained
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Recent Developments in Well-Posed Variational Problems


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Overview

The increasing complexity of mathematical models, and the related need to introduce simplifying assumptions and numerical approximations, has led to the need to consider approximate solutions. When dealing with any mathematical model, some of the basic questions to be asked are whether the solution is stable to perturbations, what the approximate solutions are, and if the set of approximate solutions is close to the original solution set. The interrelationships between these aspects are also of theoretical interest. Such concepts are described in the present volume, which emphasizes the concepts of approximate solution, well-posedness and stability in optimization, calculus of variations, optimal control, and the mathematics of conflict (e.g. game theory and vector optimization). The most recent developments are covered.

Full Product Details

Author:   Roberto Lucchetti ,  Julian Revalski
Publisher:   Springer
Imprint:   Springer
Edition:   1995 ed.
Volume:   331
Dimensions:   Width: 15.50cm , Height: 1.70cm , Length: 24.00cm
Weight:   1.260kg
ISBN:  

9780792335764


ISBN 10:   0792335767
Pages:   268
Publication Date:   30 June 1995
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

A Survey on Old and Recent Results about the Gap Phenomenon in the Calculus of Variations.- The Minimax Approach to the Critical Point Theory.- Smooth Variational Principles and non Smooth Analysis in Banach Spaces.- Characterizations of Lipschitz Stability in Optimization.- Generic Well-posedness of Optimization Problems and the Banach-Mazur Game.- Set-valued Interpolation, Differential Inclusions, and Sensitivity in Optimization.- Well-posedness in Vector Optimization.- Hypertopologies and Applications.- Well-posedness for Nash equilibria and Related Topics.- Various Aspects of Well-posedness of Optimization Problems.- Well-posed Problems in the Calculus of Variations.

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