Infinite-Dimensional Optimization and Convexity

Infinite-Dimensional Optimization and Convexity

by Ivar Ekeland


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Product Details

ISBN-13: 9780226199887
Publisher: University of Chicago Press
Publication date: 09/28/1983
Series: Chicago Lectures in Mathematics Series
Pages: 174
Product dimensions: 5.25(w) x 8.00(h) x 0.60(d)

About the Author

Ivar Ekeland is professor of mathematics at the University of Paris-Dauphine. Thomas Turnbull is a student in the Graduate School of Business at the University of Chicago.

Table of Contents

Chapter I - The Caratheodory Approach
1. Optimal Control Problems
2. Hamiltonian Systems
Chapter II - Infinite-dimensional Optimization
1.  The Variational Principle
2.  Strongly Continuous Functions on LP-spaces
3. Smooth Optimization in L2
4. Weak Topologies
5. Existence Theory for the Calculus of Variations
Chapter III - Duality Theory
1. Convex Analysis
2. Subdifferentiability
3.  Necessary Conditions and Duality Theory
4. Non-convex Duality Theory
5. Applications of Duality to the Calculus of Variations
6.  Relaxation  Theory

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