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 Γ-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 This volume contains the edited texts of the lect. nres presented at the International School of Mathematics devoted to Nonsmonth Optimization, held from . June 20 to July I, 1988. The site for the meeting was the "Ettore ~Iajorana" Centre for Sci entific Culture in Erice, Sicily. In the tradition of these meetings the main purpose was to give the state-of-the-art of an important and growing field of mathematics, and to stimulate interactions between finite-dimensional and infinite-dimensional op timization. The School was attended by approximately 80 people from 23 countries; in particular it was possible to have some distinguished lecturers from the SO\·iet Union, whose research institutions are here gratt-fnlly acknowledged. Besides the lectures, several seminars were delivered; a special s·~ssion was devoted to numerical computing aspects. The result was a broad exposure. gi ·. ring a deep knowledge of the present research tendencies in the field. We wish to express our appreciation to all the participants. Special mention 5hould be made of the Ettorc ;. . Iajorana Centre in Erice, which helped provide a stimulating and rewarding experience, and of its staff which was fundamental for the success of the meeting. j\, loreover, WP want to extend uur deep appreci
