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Titlebook: Variational Analysis and Generalized Differentiation I; Basic Theory Boris S. Mordukhovich Book 2006 Springer-Verlag Berlin Heidelberg 2006

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发表于 2025-3-21 19:32:16 | 显示全部楼层 |阅读模式
书目名称Variational Analysis and Generalized Differentiation I
副标题Basic Theory
编辑Boris S. Mordukhovich
视频videohttp://file.papertrans.cn/981/980562/980562.mp4
概述Comprehensive and state-of-the art study of the basic concepts and principles of variational analysis and generalized differentiation in both finite-dimensional and infinite-dimensional spaces.Include
丛书名称Grundlehren der mathematischen Wissenschaften
图书封面Titlebook: Variational Analysis and Generalized Differentiation I; Basic Theory Boris S. Mordukhovich Book 2006 Springer-Verlag Berlin Heidelberg 2006
描述.Variational analysis is a fruitful area in mathematics that, on one hand, deals with the study of optimization and equilibrium problems and, on the other hand, applies optimization, perturbation, and approximation ideas to the analysis of a broad range of problems that may not be of a variational nature. ..This monograph in 2 volumes contains a comprehensive and state-of-the art study of the basic concepts and principles of variational analysis and generalized differentiation in both finite-dimensional and infinite-dimensional spaces and presents numerous applications to problems in optimization, equilibria, stability and sensitivity, control theory, economics, mechanics, etc. The first volume is devoted to the basic theory of variational analysis and generalized differentiations, while the second volume describes various applications. Both volumes include abundant bibliographies and extensive commentaries..
出版日期Book 2006
关键词Banach and Asplund spaces; Lipschitzian stability; Variational analysis; full calculus; generalizes diff
版次1
doihttps://doi.org/10.1007/3-540-31247-1
isbn_softcover978-3-642-06482-1
isbn_ebook978-3-540-31247-5Series ISSN 0072-7830 Series E-ISSN 2196-9701
issn_series 0072-7830
copyrightSpringer-Verlag Berlin Heidelberg 2006
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Grundlehren der mathematischen Wissenschaftenhttp://image.papertrans.cn/v/image/980562.jpg
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https://doi.org/10.1007/3-540-31247-1Banach and Asplund spaces; Lipschitzian stability; Variational analysis; full calculus; generalizes diff
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978-3-642-06482-1Springer-Verlag Berlin Heidelberg 2006
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Variational Analysis and Generalized Differentiation I978-3-540-31247-5Series ISSN 0072-7830 Series E-ISSN 2196-9701
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Boris S. Mordukhoviches and traditions. These cultures of contact inform a North American religious and cultural habitus that is shaped by the respective orientations, dispositions, and ritual strategies of its contributing cultures.
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Full Calculus in Asplund Spacesain general calculus rules for our basic objects using a ., i.e., starting with calculus rules for normal cones and then deriving from them sum and chain rules as well as other results for coderivatives and subdifferentials. It happens that the calculus rules obtained involve . (SNC) assumptions on
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