Recent Developments in Well-Posed Variational Problems / Edition 1

Recent Developments in Well-Posed Variational Problems / Edition 1

by Roberto Lucchetti
     
 

ISBN-10: 0792335767

ISBN-13: 9780792335764

Pub. Date: 06/30/1995

Publisher: Springer Netherlands

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

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.
Audience: Researchers and graduate students studying variational problems, nonlinear analysis, optimization, and game theory.

Product Details

ISBN-13:
9780792335764
Publisher:
Springer Netherlands
Publication date:
06/30/1995
Series:
Mathematics and Its Applications (closed) Series, #331
Edition description:
1995
Pages:
268
Product dimensions:
6.10(w) x 9.45(h) x 0.03(d)

Table of Contents

Introduction. A Survey on Old and Recent Results about the Gap Phenomenon in the Calculus of Variations; G. Buttazzo, M. Belloni. The Minimax Approach to the Critical Point Theory; M. Conti, R. Lucchetti. Smooth Variational Principles and non-Smooth Analysis in Banach Spaces; R. Deville. Characterizations of Lipschitz Stability in Optimization; A. L. Dontchev. Generic Well-Posedness of Optimization Problems and the Banach-Mazur Game; P. S. Kenderov, J. P. Revalski. Set-Valued Interpolation, Differential Inclusions, and Sensitivity in Optimization; F. Lempio. Well-Posedness in Vector Optimization; P. Loridan. Hypertopologies and Applications; R. Lucchetti. Well-Posedness for Nash Equilibria and Related Topics; F. Patrone. Various Aspects of Well-Posedness of Optimization Problems; J. P. Revalski. Well-Posed Problems in the Calculus of Variations; T. Zolezzi.

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