Description: Generalized Convexity, Nonsmooth Variational Inequalities, and Nonsmooth Optimization, Hardcover by Ansari, Q. H.; Lalitha, C. S.; Mehta, M., ISBN 1439868204, ISBN-13 9781439868201, Like New Used, Free shipping in the US "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 first part of th 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 second part offers insight into variational inequalities and optimization problems in smooth as well as nonsmooth settings. Th 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 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. Th 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"--
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Book Title: Generalized Convexity, Nonsmooth Variational Inequalities, and No
Number of Pages: 280 Pages
Language: English
Publication Name: Generalized Convexity, Nonsmooth Variational Inequalities, and Nonsmooth Optimization
Publisher: CRC Press LLC
Subject: Operations Research, General, Economics / General, Applied
Item Height: 0.9 in
Publication Year: 2013
Type: Textbook
Item Weight: 19.2 Oz
Author: C. S. Lalitha, Monika Mehta, Qamrul Hasan Ansari
Subject Area: Mathematics, Business & Economics
Item Length: 9.2 in
Item Width: 6.6 in
Format: Hardcover
