Overview

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.

Full Product Details

Author:   Michel Thera ,  Rainer Tichatschke
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   Softcover reprint of the original 1st ed. 1999
Volume:   477
Dimensions:   Width: 15.50cm , Height: 1.50cm , Length: 23.50cm
Weight:   0.446kg
ISBN:  

9783540663232

ISBN 10:   3540663231
Pages:   274
Publication Date:   17 November 1999
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

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. Sagastizabal, 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. Sagastizabal: VU-decomposition derivatives for convex max-functions.- A. Moudafi, M. Thera: Proximal and dynamical approaches to equilibrium problems.- J. Penot: Some links between approximation, nonsmooth analysis, penalization and regularization.- J. Revalski, M. Thera: Variational and extended sums of monotone operators.- P. Tseng: Error bounds for regularized complementarity problems.

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