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Generalized Convexity, Nonsmooth Variational Inequalities, and Nonsmooth Optimization by Qamrul Hasan Ansari; C. S. Lalitha; Monika Mehta is a nonfiction available to read on EtoBox.

What is Generalized Convexity, Nonsmooth Variational Inequalities, and Nonsmooth Optimization about?

"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

Who reads Generalized Convexity, Nonsmooth Variational Inequalities, and Nonsmooth Optimization?

Author

Qamrul Hasan Ansari; C. S. Lalitha; Monika Mehta

Publisher

Chapman and Hall/CRC

Published

2013

Language

EN

ISBN

9781439868218

Category

nonfiction

Subjects

Engineering, Mathematics, Business