| 书目名称 | Nonsmooth Equations in Optimization | | 副标题 | Regularity, Calculus | | 编辑 | Diethard Klatte,Bernd Kummer | | 视频video | | | 丛书名称 | Nonconvex Optimization and Its Applications | | 图书封面 |  | | 描述 | Many questions dealing with solvability, stability and solution methods for va- ational inequalities or equilibrium, optimization and complementarity problems lead to the analysis of certain (perturbed) equations. This often requires a - formulation of the initial model being under consideration. Due to the specific of the original problem, the resulting equation is usually either not differ- tiable (even if the data of the original model are smooth), or it does not satisfy the assumptions of the classical implicit function theorem. This phenomenon is the main reason why a considerable analytical inst- ment dealing with generalized equations (i.e., with finding zeros of multivalued mappings) and nonsmooth equations (i.e., the defining functions are not c- tinuously differentiable) has been developed during the last 20 years, and that under very different viewpoints and assumptions. In this theory, the classical hypotheses of convex analysis, in particular, monotonicity and convexity, have been weakened or dropped, and the scope of possible applications seems to be quite large. Briefly, this discipline is often called nonsmooth analysis, sometimes also variational analysis. Our book | | 出版日期 | Book 2002 | | 关键词 | Approximation; Newton‘s method; applied mathematics; optimization | | 版次 | 1 | | doi | https://doi.org/10.1007/b130810 | | isbn_softcover | 978-1-4419-5218-9 | | isbn_ebook | 978-0-306-47616-7Series ISSN 1571-568X | | issn_series | 1571-568X | | copyright | Springer Science+Business Media Dordrecht 2002 |
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发表于 2025-3-21 19:17:11
