Overview
- Includes corrections, some simplifications and some additional comments
Part of the book series: Grundlehren der mathematischen Wissenschaften (GL, volume 317)
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About this book
From its origins in the minimization of integral functionals, the notion of 'variations' has evolved greatly in connection with applications in optimization, equilibrium, and control. It refers not only to constrained movement away from a point, but also to modes of perturbation and approximation that are best describable by 'set convergence', variational convergence of functions and the like. This book develops a unified framework and, in finite dimension, provides a detailed exposition of variational geometry and subdifferential calculus in their current forms beyond classical and convex analysis. Also covered are set-convergence, set-valued mappings, epi-convergence, duality, maximal monotone mappings, second-order subderivatives, measurable selections and normal integrands.
The changes in this 3rd printing mainly concern various typographical corrections, and reference omissions that came to light in the previous printings. Many of these reached the authors' notice through their own re-reading, that of their students and a number of colleagues mentioned in the Preface. The authors also included a few telling examples as well as improved a few statements, with slightly weaker assumptions or have strengthened the conclusions in a couple of instances.
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Keywords
Table of contents (14 chapters)
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Front Matter
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Back Matter
Authors and Affiliations
About the authors
Both authors have long worked with applications of convex, and later nonconvex, analysis to problems in optimization. Both are recipients of the Dantzig Prize (awarded by SIAM and the Mathematical Programming Society): Rockafellar in 1982 and Wets in 1994.
Bibliographic Information
Book Title: Variational Analysis
Authors: R. Tyrrell Rockafellar, Roger J. B. Wets
Series Title: Grundlehren der mathematischen Wissenschaften
DOI: https://doi.org/10.1007/978-3-642-02431-3
Publisher: Springer Berlin, Heidelberg
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eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 1998
Hardcover ISBN: 978-3-540-62772-2Published: 27 November 1997
Softcover ISBN: 978-3-642-08304-4Published: 01 December 2010
eBook ISBN: 978-3-642-02431-3Published: 26 June 2009
Series ISSN: 0072-7830
Series E-ISSN: 2196-9701
Edition Number: 1
Number of Pages: XII, 736
Topics: Calculus of Variations and Optimal Control; Optimization, Systems Theory, Control