Nonsmooth Analysis

Description

The book treats various concepts of generalized derivatives and subdifferentials in normed spaces, their geometric counterparts (tangent and normal cones) and their application to optimization problems. It starts with the subdifferential of convex analysis, passes to corresponding concepts for locally Lipschitz continuous functions and finally presents subdifferentials for general lower semicontinuous functions. All basic tools are presented where they are needed; this concerns separation theorems, variational and extremal principles as well as relevant parts of multifunction theory. The presentation is rigorous, with detailed proofs. Each chapter ends with bibliographic notes and exercises.

• The presentation strictly proceeds from simple to more difficult
  
• The presentation is rigorous, with detailed proofs
  
• Each chapter ends with suggestions for further study and exercises
  
• The only prerequisite is a basic knowledge of functional analysis

Written for:
Lecturers and students in mathematics (nonsmooth analysis, nonlinear analysis, analysis of multifunctions, optimization theory)

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1. Ebooks list page : 1480
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3. Nonsmooth Analysis and Control Theory
4. Optimal Control, Stabilization and Nonsmooth Analysis
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9. Nonsmooth Vector Functions and Continuous Optimization
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11. Nonsmooth Variational Problems and Their Inequalities: Comparison Principles and Applications
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14. Nonsmooth Equations in Optimization: Regularity, Calculus, Methods and Applications
15. Numerical Methods for Nonsmooth Dynamical Systems: Applications in Mechanics and Electronics
16. Smooth and Nonsmooth High Dimensional Chaos and the Melnidov-Type Methods