Titlebook: Constructive Nonsmooth Analysis and Related Topics; Vladimir F. Demyanov,Panos M. Pardalos,Mikhail Bat Book 2014 Springer Science+Business

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Two Giants from St. Petersburg,This is a short tribute to Aleksandr Alexandrov and Leonid Kantorovich for their contribution to the field of nonsmooth analysis, convexity and optimization.

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https://doi.org/10.1007/978-1-4614-8615-2Minimax theory; global optimization; nonsmooth Analysis; nonsmooth optimal control

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Separable Reduction of Metric Regularity Properties,ed in the sense that it holds, provided for any separable subspaces . . ? . and . ? ., containing the corresponding components of the point, there is a separable subspace . ? . containing . . such that the mapping whose graph is the intersection of the graph of . with . × . (restriction of . to . ×

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Construction of Pairs of Reproducing Kernel Banach Spaces,S) without the requirement of existence of semi-inner product (which requirement is already explored in another construction of RKBS). We present several natural examples, which involve RKBS of functions with supremum norm and with . .-norm (1 ≤ . ≤ .). Special attention is devoted to the case of a

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On the Regularization Method in Nondifferentiable Optimization Applied to Hemivariational Inequalitnction. We show how this method can be applied to hemivariational inequalities. To illustrate our results we consider bilateral contact between elastic bodies with a nonmonotone friction law on the contact boundary and present some numerical results.

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Dynamics and Optimization of Multibody Systems in the Presence of Dry Friction, defined by Coulomb’s law as a nonsmooth function of the velocity of the moving body, the dynamics of systems under consideration is described by differential equations with nonsmooth right-hand sides. Two kinds of multibody systems are analyzed: snakelike multilink systems with actuators placed at

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