Ill-Posed Variational Problems and Regularization Techniques: Proceedings of the "Workshop on Ill-Posed Variational Problems and Regulation Techniques

ISBN-13: 9783540663232 / Angielski / Miękka / 1999 / 274 str.

M. Thera; Michel Thera; Rainer Tichatschke

Opis

This book presents recent developments in the field of ill-posed variational problems and variational inequalities, covering a large range of theoretical, numerical and practical aspects. The main topics are: - Regularization techniques for equilibrium and fixed point problems, variational inequalities and complementary problems, - Links between approximation, penalization and regularization, - Bundle methods, nonsmooth optimization and regularization, - Error Bounds for regularized optimization problems.

Spis treści

A. Antipin, F. Vasil`ev: Regularization method for equilibrium programming problem with inaccurate initial data.- H. Attouch, T. Champion: Lp-regularization of the non-parametric minimal surface problem.- A. Auslender, M. Teboulle, S. Ben-Tiba: Coupling the logarithmic-quadratic proximal method and the block nonlinear Gauss-Seidel algorithm for linearly constrained convex minimization.- R. Burachik, C. Sagastizábal, B. Svaiter: Bundle methods for maximal monotone operators.- R. Cominetti: Nonlinear averages and convergence of penalty trajectories in convex programming.- M. Ferris, T. Munson: Case studies in complementarity: Improving model formulation.- M. Fukushima, J.-Shi Pang: Convergence of a smoothing continuation method for mathematical programs with complementarity constraints.- A. Kaplan, R. Tichatschke: Stable solution of variational inequalities with composed monotone operators.- K. Kiwiel: A projection-proximal bundle method for convex nondifferentiable minimization.- B. Lemaire: Regularization of fixed-point problems and staircase iteration.- R. Mifflin, C. Sagastizábal: VU-decomposition derivatives for convex max-functions.- A. Moudafi, M. Théra: Proximal and dynamical approaches to equilibrium problems.- J. Penot: Some links between approximation, nonsmooth analysis, penalization and regularization.- J. Revalski, M. Théra: Variational and extended sums of monotone operators.- P. Tseng: Error bounds for regularized complementarity problems.