书目名称 | Variational Analysis of Regular Mappings |
副标题 | Theory and Applicati |
编辑 | Alexander D. Ioffe |
视频video | |
概述 | Presents a detailed study of regularity properties of mappings in metric spaces.Covers mappings with specific structures in Banach and finite dimensional spaces.Offers new and previously unrecorded ap |
丛书名称 | Springer Monographs in Mathematics |
图书封面 |  |
描述 | .This monograph offers the first systematic account of (metric) regularity theory in variational analysis. It presents new developments alongside classical results and demonstrates the power of the theory through applications to various problems in analysis and optimization theory...The origins of metric regularity theory can be traced back to a series of fundamental ideas and results of nonlinear functional analysis and global analysis centered around problems of existence and stability of solutions of nonlinear equations. In variational analysis, regularity theory goes far beyond the classical setting and is also concerned with non-differentiable and multi-valued operators. The present volume explores all basic aspects of the theory, from the most general problems for mappings between metric spaces to those connected with fairly concrete and important classes of operators acting in Banach and finite dimensional spaces. Written by a leading expert in the field, the book covers new and powerful techniques, which have proven to be highly efficient even in classical settings, and outlines the theory’s predominantly quantitative character, leading to a variety of new and unexpected ap |
出版日期 | Book 2017 |
关键词 | metric regularity error bound; perturbation stability analysis; perturbation theory stability; set-valu |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-319-64277-2 |
isbn_softcover | 978-3-319-87761-7 |
isbn_ebook | 978-3-319-64277-2Series ISSN 1439-7382 Series E-ISSN 2196-9922 |
issn_series | 1439-7382 |
copyright | Springer International Publishing AG 2017 |