9783642083044: Variational Analysis: 317 (Grundlehren der mathematischen Wissenschaften, 317)
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ISBN 10: 3642083048 ISBN 13: 9783642083044
Editorial: Springer Nature B.V., 2010

Sinopsis

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. This book develops a unified framework and 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, and normal integrands.

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Acerca del autor

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.

De la contraportada

<p>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.</p> <p>The changes in this 3<sup>rd</sup>  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.</p>

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Editorial
Springer Nature B.V.
Año de publicación
2010
Idioma
Inglés
ISBN 10 
3642083048
ISBN 13 
9783642083044
Encuadernación
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Número de páginas
750
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Otras ediciones populares con el mismo título

9783540627722: Variational Analysis: 317 (Grundlehren der mathematischen Wissenschaften, 317)

Edición Destacada

ISBN 10:  3540627723 ISBN 13:  9783540627722
Editorial: Springer, 2009
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