Titlebook: Implicit Functions and Solution Mappings; A View from Variatio Asen L. Dontchev,R. Tyrrell Rockafellar Textbook 2014Latest edition Springer

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Implicit Functions and Solution Mappings978-1-4939-1037-3Series ISSN 1431-8598 Series E-ISSN 2197-1773

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Set-Valued Analysis of Solution Mappings,equalities, we have always had to face the possibility that solutions might not exist, or might not be unique when they do exist. This goes all the way back to the setting of the classical implicit function theorem.

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https://doi.org/10.1007/978-1-4939-1037-3Graphical differentiation; Implicit functions; Metric regularity in infinite dimensions; Radius theorem

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Metric Regularity Through Generalized Derivatives,hat conclusions about a solution mapping, concerning the Aubin property, say, or the existence of a single-valued localization, can be drawn by confirming that some auxiliary solution mapping, obtained from a kind of approximation, has the property in question. In the classical framework, we can app

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the Philipps-Universit¨ at in Marburg. They have contributed to the f- damental understanding and to many applications in the area of coherent semiconductor optics. The one-dimensional tight-binding model, which is exclusively treated in the present book, has been the basis of many of their diploma