Set-valued Mappings and Enlargements of Monotone Operators
(Sprache: Englisch)
This is the first comprehensive book treatment of the emerging subdiscipline of set-valued mapping and enlargements of maximal monotone operators. It features several important new results and applications in the field. Throughout the text, examples help...
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Klappentext zu „Set-valued Mappings and Enlargements of Monotone Operators “
This is the first comprehensive book treatment of the emerging subdiscipline of set-valued mapping and enlargements of maximal monotone operators. It features several important new results and applications in the field. Throughout the text, examples help readers make the bridge from theory to application. Numerous exercises are also offered to enable readers to apply and build their own skills and knowledge.
Inhaltsverzeichnis zu „Set-valued Mappings and Enlargements of Monotone Operators “
- Preface1. Introduction
2. Set Convergence and Point-to-Set Mappings
3. Convex Analysis and Fixed Point Theorems
4. Maximal Monotone Operators
5. Enlargements of Monotone Operators
6. Recent Topics in Proximal Theory
- Bibliography
- Index
Bibliographische Angaben
- Autoren: Regina S. Burachik , Alfredo N. Iusem
- 2008, 2008, 294 Seiten, Maße: 16 x 24,1 cm, Gebunden, Englisch
- Verlag: Springer
- ISBN-10: 0387697551
- ISBN-13: 9780387697550
- Erscheinungsdatum: 15.10.2007
Sprache:
Englisch
Rezension zu „Set-valued Mappings and Enlargements of Monotone Operators “
From the reviews:"This book is a welcome new monograph on set-valued mappings. The emphasis is on enlargements of monotone operators. ... The authors are major contributors to the research in this area. They give, with much insight, a systematic and efficient account of the state of the art of the recent research in this area ... . Most of the sections are accompanied by exercises, making the book also a nice choice for a graduate topic course." (Qiji Jim Zhu, Mathematical Reviews, Issue 2008 h)"The main aim of this book is to give a relatively brief and self-contained review of the basics of set-valued analysis in a Banach space, and to present most significant results related to existence of fixed points of multivalued mappings. ... At the end of each chapter the authors give detailed historical notes and references for further reading. The volume can be read by anyone with a basic knowledge of real and functional analysis." (Mikhail Yu. Kokurin, Zentralblatt MATH, Vol. 1154, 2009)
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