Overview
- Contains a chapter on hypertopologies (only one other book on this topic)
- Author includes exercises, for use as a graduate text
- Over 45 figures are included
- Includes supplementary material: sn.pub/extras
Part of the book series: CMS Books in Mathematics (CMSBM)
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Table of contents (12 chapters)
Reviews
From the reviews:
"In this book the author focuses on the study of convex functions and their properties under perturbations of data. In particular, he illustrates the ideas of stability and well-posedness and the connections between them. … This book is intended for graduate students and researchers especially in mathematics, physics and economics; to facilitate its use as a textbook, the author has included many exercises and examples of different levels of difficulty." (Davide La Torre, Mathematical Reviews, Issue 2006 h)
"This book studies convex functions in Banach spaces and the stable behavior under perturbations of the optimization problems associated to them. … An interesting feature of the book is the inclusion of some topics, like elements of game theory, hypertopologies and genericity of well-posedness, not usually found in textbooks devoted to convexity and optimization. … several useful examples, comments and remarks scattered throughout, and over 120 exercises of varying level difficulty. This book is suitable for graduate courses on convex optimization from a mathematical standpoint." (Tullio Zolezzi, Zentralblatt MATH, Vol. 1106 (8), 2007)
Authors and Affiliations
Bibliographic Information
Book Title: Convexity and Well-Posed Problems
Authors: Roberto Lucchetti
Series Title: CMS Books in Mathematics
DOI: https://doi.org/10.1007/0-387-31082-7
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag New York 2006
Hardcover ISBN: 978-0-387-28719-5Published: 16 November 2005
Softcover ISBN: 978-1-4419-2111-6Published: 24 November 2010
eBook ISBN: 978-0-387-31082-4Published: 02 February 2006
Series ISSN: 1613-5237
Series E-ISSN: 2197-4152
Edition Number: 1
Number of Pages: XIV, 305
Topics: Calculus of Variations and Optimal Control; Optimization, Operations Research, Management Science, Functional Analysis