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E-raamat: Constructive Nonsmooth Analysis and Related Topics

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This volume contains a collection of papers based on lectures and presentations delivered at the International Conference on Constructive Nonsmooth Analysis (CNSA) held in St. Petersburg (Russia) from June 18-23, 2012. This conference was organized to mark the 50th anniversary of the birth of nonsmooth analysis and nondifferentiable optimization and was dedicated to J.-J. Moreau and the late B.N. Pshenichnyi, A.M. Rubinov, and N.Z. Shor, whose contributions to NSA and NDO remain invaluable.

The first four chapters of the book are devoted to the theory of nonsmooth analysis. Chapters 5-8 contain new results in nonsmooth mechanics and calculus of variations. Chapters 9-13 are related to nondifferentiable optimization, and the volume concludes with four chapters containing interesting and important historical chapters, including tributes to three giants of nonsmooth analysis, convexity, and optimization: Alexandr Alexandrov, Leonid Kantorovich, and Alex Rubinov. The last chapter provides an overview and important snapshots of the 50-year history of convex analysis and optimization.



This volume contains papers from the International Conference on Constructive Nonsmooth Analysis (CNSA) held in St. Petersburg, Russia, June 2012. It explores this powerful instrument in applied mathematics.
Use Model Theory in Nonsmooth Analysis
1(12)
S.S. Kutateladze
Demyanov Difference in Infinite-Dimensional Spaces
13(12)
Jerzy Grzybowski
Diethard Pallaschke
Ryszard Urbanski
Separable Reduction of Metric Regularity Properties
25(14)
A.D. Ioffe
Construction of Pairs of Reproducing Kernel Banach Spaces
39(20)
Pando G. Georgiev
Luis Sanchez-Gonzalez
Panos M. Pardalos
On the Regularization Method in Nondifferentiable Optimization Applied to Hemivariational Inequalities
59(12)
N. Ovcharova
J. Gwinner
Dynamics and Optimization of Multibody Systems in the Presence of Dry Friction
71(30)
F.L. Chernousko
Method of Steepest Descent for Two-Dimensional Problems of Calculus of Variations
101(14)
M.V. Dolgopolik
G.Sh. Tamasyan
On a Quantitative Semicontinuity Property of Variational Systems with Applications to Perturbed Quasidifferentiable Optimization
115(22)
A. Uderzo
Some Remarks on Bi-level Vector Extremum Problems
137(22)
Carla Antoni
Franco Giannessi
Well-Posedness for Lexicographic Vector Equilibrium Problems
159(16)
L.Q. Anh
T.Q. Duy
A.Y. Kruger
N.H. Thao
The Best Linear Separation of Two Sets
175(10)
V.N. Malozemov
E.K. Cherneutsanu
Alternance Form of Optimality Conditions in the Finite-Dimensional Space
185(20)
V.F. Demyanov
V.N. Malozemov
Optimal Multiple Decision Statistical Procedure for Inverse Covariance Matrix
205(12)
Alexander P. Koldanov
Petr A. Koldanov
Conciliating Generalized Derivatives
217(14)
Jean-Paul Penot
The Nonsmooth Path of Alex M. Rubinov
231(4)
S.S. Kutateladze
Two Giants from St. Petersburg
235(10)
S.S. Kutateladze
Convex Analysis and Optimization in the Past 50 Years: Some Snapshots
245
Jean-Baptiste Hiriart-Urruty