Advances in optimization : proceedings of the 6th French-German colloquium on optimization : held at Lambrecht, FRG, June 2-8, 1991

This voluume contains actual contributions to the current research directions in Optimizatiton Theory as well as applications to economic problems and to problems in industrial engineering. Of particular interest are: convex- and Nonsmooth Analysis, Sensitivity Theory, Optimization techniques for nonsmooth and Variational problems, Control Theory and Vector optimization. The volume contains research andsurvey papers. The main benefit is given by a global suruvey of the state ofart of modern Optimization Theory and some typical applications. Front Matter....Pages I-X Front Matter....Pages 1-1 Tensorial Convex Functionals and Applications....Pages 3-15 Various Continuity Properties of the Deconvolution (or Epigraphical Difference)....Pages 16-30 Implicit Functions and Regular Points in Quasidifferentiable Optimization....Pages 31-38 About the Convergence of the Proximal Method....Pages 39-51 Second-Order Generalized Derivatives: Comparisons of Two Types of Epi-Derivatives....Pages 52-76 On Some Differentiability Problems....Pages 77-84 Mixing proximal regularization, penalization and parallel decomposition in convex programming....Pages 85-99 Front Matter....Pages 101-101 Expansion of exact and approximate solutions in nonlinear programming....Pages 103-117 Intersections of lower semi-continuous relations. Applications to the stability of constrained saddle points....Pages 118-132 Sensitivity Analysis for a Class of Convex Functions Defined Over a Space of Symmetric Matrices....Pages 133-154 Stability of Stationary Solutions in Semi-Infinite Optimization via the Reduction Approach....Pages 155-170 Newton’s Method Based on Generalized Derivatives for Nonsmooth Functions: Convergence Analysis....Pages 171-194 Front Matter....Pages 195-195 A Nondifferentiable Approach to Decomposable Optimization Problems with an Application to the Design of Water Distribution Networks....Pages 197-216 Exact Auxiliary Functions in Non-Convex Optimization....Pages 217-226 Nonsmooth Problems in Calculus of Variations....Pages 227-238 Regularizations for Two-Level Optimization Problems....Pages 239-255 Does the Special Choice of Quasidifferentials Influence Necessary Minimum Conditions?....Pages 256-266 Superlinear Convergence in Convex Nondifferentiable Optimization....Pages 267-277 Front Matter....Pages 279-279 Sequential Quadratic Programming in Banach Spaces....Pages 281-301 Synthesis of Optimal Discrete Control System....Pages 302-314 Front Matter....Pages 279-279 Iterative Processes for Solving Incorrect Convex Variational Problems....Pages 315-329 Filtering of Gaussian Stochastic Processes by Observations with Delays....Pages 330-344 On Moment Theory and Controllability....Pages 345-354 Generalized Bernoulli Operator and Euler-Maclaurin Formula....Pages 355-368 Front Matter....Pages 369-369 Exact Bang-Bang Optimal Control for Problems with Nonlinear Costs....Pages 371-383 Introduction to General Duality Theory for Multi-Objective Optimization....Pages 384-405 Non-Cooperative Games; Methods of Subgradient Projection and Proximal Point....Pages 406-419 Fenchel Duality in Vector Optimization....Pages 420-438 Front Matter....Pages 439-439 A General Framework for the One Center Location Problem....Pages 441-457 On Stability for Semicoercive Variational Inequalities Applied to Constrained Market Equilibria and Neumann-Signorini Problems....Pages 458-477 On the Application of a Method of Reference Point Approximation to Bicriterial Optimization Problems in Chemical Engineering....Pages 478-491 Numerical Results on Computing the Vector in the Convex Hull of a Finite Set of Points Having Minimal Length....Pages 492-503 Min-Max Emergency Service Location Problems with Additional Conditions....Pages 504-512 Front Matter....Pages 513-513 On a Minimax Approach to the Problem of Identification of Dynamic Systems in the Presence of Uncertainty....Pages 515-517 Adaptive Optimal Strategies in Controlled Markov Processes....Pages 518-524 A Note on Constraint Qualifications in Quasidifferentiable Programming....Pages 525-527 This volume contains research and survey papers which contribute to current directions in optimization theory as well as applications to economic problems and to problems in industrial engineering.