Overview
- Gives a comprehensive exploration of regularization methods for ill-posed nonlinear operator equations and variational inequalities of monotone type in Hilbert and Banach spaces
- The main results obtained by authors during last three decades cannot be found in other books on Nonlinear Analysis
- Particular attention is given to applications of regularization methods and well as to practical methods used in computational analysis
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Table of contents (7 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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.
Reviews
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)
Bibliographic Information
Book Title: Nonlinear Ill-posed Problems of Monotone Type
Authors: YAKOV ALBER, IRINA RYAZANTSEVA
DOI: https://doi.org/10.1007/1-4020-4396-1
Publisher: Springer Dordrecht
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media B.V. 2006
Hardcover ISBN: 978-1-4020-4395-6Published: 02 February 2006
Softcover ISBN: 978-90-481-7122-4Published: 19 October 2010
eBook ISBN: 978-1-4020-4396-3Published: 23 February 2006
Edition Number: 1
Number of Pages: XIV, 410
Topics: Analysis, Computational Mathematics and Numerical Analysis, Operator Theory, Functional Analysis, Calculus of Variations and Optimal Control; Optimization