Generalized Convexity, Nonsmooth Variational Inequalities, and Nonsmooth Optimization - Image 1

£165.96

CRC Press Generalized Convexity, Nonsmooth Variational Inequalities, and Nonsmooth Optimization

Name: Generalized Convexity, Nonsmooth Variational Inequalities, and Nonsmooth Optimization
Brand: CRC Press
Price: 165.96 GBP
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Until now, no book addressed convexity, monotonicity, and variational inequalities together. Generalized Convexity, Nonsmooth Variational Inequalities, and Nonsmooth Optimization covers all three topics, including new variational inequality problems defined by a bifunction. The first part of the book focuses on generalized convexity and generalized monotonicity. The authors investigate convexity and generalized convexity for both the differentiable and nondifferentiable case. For the nondifferentiable case, they introduce the concepts in terms of a bifunction and the Clarke subdifferential. The second part offers insight into variational inequalities and optimization problems in smooth as well as nonsmooth settings. The book discusses existence and uniqueness criteria for a variational inequality, the gap function associated with it, and numerical methods to solve it. It also examines characterizations of a solution set of an optimization problem and explores variational inequalities defined by a bifunction and set-valued version given in terms of the Clarke subdifferential. Integrating results on convexity, monotonicity, and variational inequalities into one unified source, this book deepens your understanding of various classes of problems, such as systems of nonlinear equations, optimization problems, complementarity problems, and fixed-point problems. The book shows how variational inequality theory not only serves as a tool for formulating a variety of equilibrium problems, but also provides algorithms for computational purposes. Review "Overall, the book contains a lot of interesting material on the generalized convexity and generalized monotonicity with important applications to variational inequalities in finite dimensions. The book is nicely written with good examples and figures, making it useful also for advanced undergraduate students."―B. Mordukhovich, Mathematical Reviews, January 2014

Product Specifications

Brand: CRC Press
Format: Hardcover
ASIN: 1439868204
Category: Books > Subjects > Arts & Photography > Graphic Arts > Commercial
Domain: Amazon UK
Release Date: 18 July 2013
Listed Since: 04 January 2011

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CRC Press Generalized Convexity, Nonsmooth Variational Inequalities, and Nonsmooth Optimization

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