This volume is a collection of papers presented at the Eighth French-German Conference on Optimization held at the University of Trier (Germany) in 1996. From July 21 through July 26, 1996, about 100 scientists, mainly from France and Germany, but also from other countries, met at Trier to discuss recent de­ velopments in the field of optimization. 89 lectures were delivered, covering a large range of theoretical and practical aspects of optimization. Most of the talks were scheduled in two parallel sessions, grouped into sections including convex and nonsmooth analysis, methods in convex and nonconvex program­ ming, sensitivity and stability analysis, control theory, ill-posed programming problems, equilibrium problems, and global optimization. Continuing an old tradition, the Eighth French-German Conference on Opti­ mization demonstrated vividly the vitality of the French-German cooperation in mathematics. The Scientific Committee of the conference consisted of A. Auslender (Paris), H.G. Bock (Heidelberg), S. Dolecki (Dijon), R. Durier (Dijon), J.B. Hiriart­ Urruty (Toulouse), H. Th. Jongen (Aachen), D. Klatte (Zurich), B. Kum­ mer (Berlin), C. Lemarechal (Rocquencourt), P. Loridan (Paris), C. Mich­ elot (Dijon), W. Oettli (Mannheim), D. Pallaschke (Karlsruhe), J.P. Penot (Pau), J. Stoer (Wurzburg), M. Thera (Limoges), L. Thibault (Montpellier), R. Tichatschke (Trier)' J. Zowe (Erlangen).

InhaltsangabeEquilibrium programming problems: Prox-regularization and prox-methods.- Conically equivalent pairs of convex sets.- Global minimax approaches for solving discrete problems.- Gradient approaches to equilibrium.- On the best approximation of set-valued functions.- ?-Intervals in nonsmooth optimization.- A new decomposition method in nonconvex programming via a separable augmented Lagrangian.- Suboptimal solutions of control problems for distributed parameter systems.- Polynominal affine-scaling algorithms for P* (?) linear complementary problems.- Multi-step proximal method for variational inequalities with monotone operators.- Which fixed point does the iteration method select?.- On differential properties of approximate optimal solutions in parametric semi-infinite programming.- Global Optimization Approach to optimizing over the efficient set.- Combining the auxiliary problem principle with approximation methods.- Stable methods for ill-posed variational inequalities in mechanics.- Variational methods in image restoration.- On a special class of mathematical programs with equilibrium constraints.- On the reconstruction problem for nondifferentiable functions.- Nonsmooth continuation for generalized equations.- Locally monotone multifunctions in spaces without linearity.- On the regularized Bingham problem.- Numerical experiments with modern methods for large scale QP-problems.- Models of singular variational inequalities and complementarity problems arising in FEM and BEM unilateral contact problems.- Trap-doors in the solution set of semi-infinite optimization problems.- On compactly Lipschitzian mappings.- Quasiconvex duality for the max of two functions.

From the Contents: Equilibrium programming problems: Prox-regularization and prox-methods.- Gradient approaches to equilibrium.- Suboptimal solutions of control problems for distributed parameter systems.- On differential properties of approximate optimal solutions in parametric semi-infinite programming.- Variational methods in image restoration.- Locally monotone multifunctions in spaces without linearity.- Trap-doors in the solution set of semi-infinite optimization problems.