This work offers the first comprehensive treatment in book form of the fairly new subdiscipline in set-valued analysis of enlargements of maximal monotone operators, including several important new results in the field. In the last decades, with the development of nonsmooth optimization, effective algorithms have been developed to solve these kinds of problems, such as nonsmooth variational inequalities. Several of these methods, such as bundle methods for variational problems, are fully developed and analyzed in this book.

This book is addressed to mathematicians, engineers, economists, and researchers interested in acquiring a solid mathematical foundation in the subject matter. Containing extensive exercises and examples throughout the text, the first four chapters of the book can also be used for a one-quarter course in set-valued analysis and maximal monotone operators for graduate students in pure and applied mathematics, mathematical economics, operations research and related areas.

First comprehensive treatment in book form of the fairly new subdiscipline in set-valued analysis of enlargements of maximal monotone operators Presents several important new results in the field Addressed to graduate students, mathematicians, engineers, economists, and researchers Contains extensive exercises and examples throughout the text

Zusammenfassung
Offers a treatment of the subdiscipline of set-valued mapping and enlargements of maximal monotone operators. This title features examples that help readers make the bridge from theory to application. It also offers numerous exercises to enable readers to apply and build their own skills and knowledge.

Inhalt
Set Convergence and Point-to-Set Mappings.- Convex Analysis and Fixed Point Theorems.- Maximal Monotone Operators.- Enlargements of Monotone Operators.- Recent Topics in Proximal Theory.