Infinite-dimensional optimization and convexity /

Infinite-dimensional optimization and convexity /

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Bibliographic Details
Author / Creator:	Ekeland, I. (Ivar), 1944-
Imprint:	Chicago : University of Chicago Press, c1983.
Description:	viii, 166 p. : ill. ; 21 cm.
Language:	English
Series:	Chicago lectures in mathematics series Chicago lectures in mathematics.
Subject:	Mathematical optimization Calculus of variations Convex domains Calculus of variations. Convex domains. Mathematical optimization.
Format:	Print Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/565365

Hidden Bibliographic Details
Varying Form of Title:	Infinite dimensional optimization and convexity
Other authors / contributors:	Turnbull, Thomas.
ISBN:	0226199878 0226199886 (pbk.)
Notes:	Bibliography: p. 165-166.

Table of Contents:

Foreword
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 Notes
References