Advances in Optimization: Proceedings of the 6th French-German Colloquium on Optimization Held at Lambrecht, FRG, June 2–8, 1991

✍ Scribed by M. Atteia (auth.), Prof. Dr. Werner Oettli, Prof. Dr. Diethard Pallaschke (eds.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 1992
• Tongue: English
• Leaves: 527
• Series: Lecture Notes in Economics and Mathematical Systems 382
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

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

✦ Subjects

Operation Research/Decision Theory; Economic Theory; Systems Theory, Control; Calculus of Variations and Optimal Control; Optimization; Appl.Mathematics/Computational Methods of Engineering; Control, Robotics, Mechatronics