Titlebook: Calculus Without Derivatives; Jean-Paul Penot Textbook 2013 Springer Science+Business Media New York 2013 Clarke subdifferential.Newton Me

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Circa-Subdifferentials, Clarke Subdifferentials,on of directional derivative. Moreover, inherent convexity properties ensure a full duality between these notions. Furthermore, the geometrical notions are related to the analytical notions in the same way as those that have been obtained for elementary subdifferentials. These facts represent great theoretical and practical advantages.

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Elements of Convex Analysis, this class to the subclass of sublinear functions. This subclass is next to the family of linear functions in terms of simplicity: the epigraph of a sublinear function is a convex cone, a notion almost as simple and useful as the notion of linear subspace. These two facts explain the rigidity of th

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Graded Subdifferentials, Ioffe Subdifferentials, in reducing the study to a convenient class of linear subspaces. Initially, Ioffe used the class of finite-dimensional subspaces of . [512, 513, 515, 516]; then he turned to the class of closed separable subspaces, which has some convenient permanence properties [527]. Since such an approach presen

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Calculus Without Derivatives978-1-4614-4538-8Series ISSN 0072-5285 Series E-ISSN 2197-5612

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