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Nonsmooth Optimization and Related Topics

✍ Scribed by E. Castagnoli, P. Mazzoleni (auth.), F. H. Clarke, V. F. Dem’yanov, F. Giannessi (eds.)


Publisher
Springer US
Year
1989
Tongue
English
Leaves
481
Series
Ettore Majorana International Science Series 43
Edition
1
Category
Library

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✦ Table of Contents


Front Matter....Pages i-xi
Scalar and Vector Generalized Convexity....Pages 1-22
Compactness and Boundedness for a Class of Concave-Convex Functions....Pages 23-38
Applications of Proximal Subgradients....Pages 39-47
New Functionals in Calculus of Variations....Pages 49-59
Quasi-Variational Inequalities and Applications to Equilibrium Problems with Elastic Demand....Pages 61-77
Smoothness of Nonsmooth Functions....Pages 79-88
Exact Penalty Functions for Nondifferentiable Programming Problems....Pages 89-107
Fuzzy Ξ“-Operators and Convolutive Approximations....Pages 109-131
On Cone Approximations and Generalized Directional Derivatives....Pages 133-154
Some Techniques for Finding the Search Direction in Nonsmooth Minimization Problems....Pages 155-166
Directional Derivative for the Value Function in Mathematical Programming....Pages 167-183
Necessary Optimality Conditions via Image Problem....Pages 185-217
From Convex Optimization to Nonconvex Optimization. Necessary and Sufficient Conditions for Global Optimality....Pages 219-239
Nonconvex Subdifferentials....Pages 241-253
Perturbed Differential Inclusion Problems....Pages 255-263
Subdifferential Analysis and Plates Subjected to Unilateral Constraints....Pages 265-276
Optimization Problems for Aircraft Flight in a Windshear....Pages 277-305
Constrained Well-Posed Two-Level Optimization Problems....Pages 307-325
A Compactness Theorem for Curves of Maximal Slope for a Class of Nonsmooth and Nonconvex Functions....Pages 327-341
Basics of Minimax Algorithms....Pages 343-369
Implicit Function Theorems for Multi-Valued Mappings....Pages 371-391
Perturbation of Generalized Kuhn-Tucker Points in Finite-Dimensional Optimization....Pages 393-402
Nonsmooth Optimization and Dual Bounds....Pages 403-410
A Unified Treatment of Some Nonstandard Problems in Dynamics Optimization....Pages 411-415
Local and Global Directional Controllability: Sufficient Conditions and Examples....Pages 417-435
Stability for a Class of Nonlinear Optimization Problems and Applications....Pages 437-458
The BT-Algorithm for Minimizing a Nonsmooth Functional Subject to Linear Constraints....Pages 459-480
Back Matter....Pages 481-489

✦ Subjects


Theoretical, Mathematical and Computational Physics


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