Variational Analysis

R. Tyrrell Rockafellar, Roger J.-B. Wets

ISBN 10: 3642024327 / ISBN 13: 9783642024320

Published by Springer-Verlag, 2009

About this Item

Corrected third printing. Excellent condition, like new. Binding is tight and inside is clean and unmarked.

Seller Inventory # 1157132

Bibliographic Details

• Title: Variational Analysis
• Publisher: Springer-Verlag
• Publication Date: 2009
• Language: English
• ISBN 10: 3642024327
• ISBN 13: 9783642024320
• Binding: Softcover
• Condition: Near fine
• Seller catalogs:
  • Mathematics

About this title

Synopsis

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 the 3rd printing mainly concern various typographical, corrections, and reference omissions which 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 couple of slightly weaker assumptions or provided a converse.