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Techniques of variational analysis

Author: Jonathan M Borwein; Qiji J Zhu
Publisher: New York : Springer, 2005.
Series: CMS books in mathematics, 20.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
"Variational arguments are classical techniques whose use can be traced back to the early development of the calculus of variations and further. Rooted in the physical principle of least action they have wide applications in diverse fields. This book provides a concise account of the essential tools of infinite-dimensional first-order variational analysis illustrated by applications in many areas of analysis,  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Borwein, Jonathan M.
Techniques of variational analysis.
New York : Springer, 2005
(DLC) 2005923774
(OCoLC)61029300
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Jonathan M Borwein; Qiji J Zhu
ISBN: 9780387282718 0387282718 9780387242989 0387242988
OCLC Number: 209830310
Description: 1 online resource (vi, 362 pages) : illustrations.
Contents: Variational Principles --
Ekeland Variational Principles --
Geometric Forms of the Variational Principle --
Applications to Fixed Point Theorems --
Finite Dimensional Variational Principles --
Borwein-Preiss Variational Principles --
Variational Techniques in Subdifferential Theory --
The Frechet Subdifferential and Normal Cone --
Nonlocal Sum Rule and Viscosity Solutions --
Local Sum Rules and Constrained Minimization --
Mean Value Theorems and Applications --
Chain Rules and Lyapunov Functions --
Multidirectional MVI and Solvability --
Extremal Principles --
Variational Techniques in Convex Analysis --
Convex Functions and Sets --
Subdifferential --
Sandwich Theorems and Calculus --
Fenchel Conjugate --
Convex Feasibility Problems --
Duality Inequalities for Sandwiched Functions --
Entropy Maximization --
Variational Techniques and Multifunctions --
Multifunctions --
Subdifferentials as Multifunctions --
Distance Functions --
Coderivatives of Multifunctions --
Implicit Multifunction Theorems --
Variational Principles in Nonlinear Functional Analysis --
Subdifferential and Asplund Spaces --
Nonconvex Separation Theorems --
Stegall Variational Principles --
Mountain Pass Theorem --
One-Perturbation Variational Principles --
Variational Techniques in the Presence of Symmetry --
Nonsmooth Functions on Smooth Manifolds --
Manifolds of Matrices and Spectral Functions --
Convex Spectral Functions.
Series Title: CMS books in mathematics, 20.
Responsibility: Jonathan M. Borwein, Qiji J. Zhu.
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Abstract:

Provides an account of the essential tools of infinite-dimensional first-order variational analysis. These tools are illustrated by applications in many different parts of analysis, optimization and  Read more...

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From the reviews: "This book maps the progress that has been made since the publication of the Ekeland variational principle in 1974 in the development and application of the variational approach in Read more...

 
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