Book Details

Set-Valued Mappings and Enlargements of Monotone Operators

Publication year: 2008

ISBN: 978-0-387-69757-4

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Set-valued analysis is an essential tool for the mathematical formulation of many real-life situations, e.g., equilibrium theory in mathematical economics. This work offers the first comprehensive treatment in book form of the fairly new subdiscipline 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.


Subject: Mathematics and Statistics, Maxima, analysis, functional analysis, linear optimization, mathematical economics, operations research, optimization