| 书目名称 | Variational Analysis | | 编辑 | R. Tyrrell Rockafellar,Roger J. B. Wets | | 视频video | | | 概述 | Includes corrections, some simplifications and some additional comments | | 丛书名称 | Grundlehren der mathematischen Wissenschaften | | 图书封面 |  | | 描述 | .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 3.rd. 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 weak | | 出版日期 | Book 1998 | | 关键词 | convex analysis; epi-convergence; non-smooth analysis; optimization; variational analysis | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-642-02431-3 | | isbn_softcover | 978-3-642-08304-4 | | isbn_ebook | 978-3-642-02431-3Series ISSN 0072-7830 Series E-ISSN 2196-9701 | | issn_series | 0072-7830 | | copyright | Springer-Verlag Berlin Heidelberg 1998 |
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发表于 2025-3-21 18:31:51
