Nonlinear Ill-Posed Problems of Monotone Type

ISBN-13: 9789048171224 / Angielski / Miękka / 2010 / 410 str.

Yakov Alber; Irina Ryazantseva

Opis

Interest in regularization methods for ill-posed nonlinear operator equations and variational inequalities of monotone type in Hilbert and Banach spaces has grown rapidly over recent years. Results in the field over the last three decades, previously only available in journal articles, are comprehensively explored with particular attention given to applications of regularization methods as well as to practical methods used in computational analysis.

Recenzje

From the reviews of the first edition:

"This monograph offers a systematic and thorough exposition of the theory and applications of non-linear equations and variational inequalities with monotone and accretive operators. ... The authors have collected, classified, and properly arranged a great deal of results ... . The present book will certainly help the reader to obtain an introduction to basic ideas and results of the contemporary theory of solution methods for nonlinear monotone problems ... . The volume can be used as a reference for both experts and novices ... ." (Mikhail Yu. Kokurin, Zentralblatt MATH, Vol. 1086, 2006)

Spis treści

INTO THE THEORY OF MONOTONE AND ACCRETIVE OPERATORS.- REGULARIZATION OF OPERATOR EQUATIONS.- PARAMETERIZATION OF REGULARIZATION METHODS.- REGULARIZATION OF VARIATIONAL INEQUALITIES.- APPLICATIONS OF THE REGULARIZATION METHODS.- SPECIAL TOPICS ON REGULARIZATION METHODS.