Implicit Functions and Solution Mappings - Softcover

Review

From the reviews:

“This book is devoted to the theory of inverse and implicit functions and some of its modifications for solution mappings in variational problems. ... The book is targeted to a broad audience of researchers, teachers and graduate students. It can be used as well as a textbook as a reference book on the topic. Undoubtedly, it will be used by mathematicians dealing with functional and numerical analysis, optimization, adjacent branches and also by specialists in mechanics, physics, engineering, economics, and so on.” (Peter Zabreiko, Zentralblatt MATH, Vol. 1178, 2010)

“The book starts with the classical framework of implicit function theorem and then is largely focusing on properties of solution mapping of variational problems. ... The book ends with a rich list of references, a glossary of notation, and a subject index. This references reflect from one side the authors’s contribution to this topic and from other side the contributions of many other researchers all over the world. Certainly this wonderful work will be included in many libraries all over the world.” (Marian Mureşan, Studia Universitatis Babes-Bolyai, Mathematica, Vol. LV (4), December, 2010)

“The present monograph will be a most welcome and valuable addition. ... This book will save much time and effort, both for those doing research in variational analysis and for students learning the field. This important contribution fills a gap in the existing literature.” (Stephen M. Robinson, Mathematical Reviews, Issue 2010 g)

“The book commences with a helpful context-setting preface followed by six chapters. Each chapter starts with a useful preamble and concludes with a careful and instructive commentary, while a good set of references, a notation guide, and a somewhat brief index complete this study. ... I unreservedly recommended this book to all practitioners and graduate students interested in modern optimization theory or control theory or to those just engaged by beautiful analysis cleanly described.” (Jonathan Michael Browein, IEEE Control Systems Magazine, February, 2012)