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Generalized convexity, nonsmooth var...

Lalitha, C. S.

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Generalized convexity, nonsmooth variational inequalities, and nonsmooth optimization /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Generalized convexity, nonsmooth variational inequalities, and nonsmooth optimization // Q.H. Ansari, C. S. Lalitha, M. Mehta.
Author:	Ansari, Qamrul Hasan.
other author:	Lalitha, C. S.
Published:	Boca Raton :CRC Press, : 2014.,
Description:	xv, 280 p. :ill ;24 cm.
Subject:	Nonsmooth optimization. -
ISBN:	9781439868201

Generalized convexity, nonsmooth variational inequalities, and nonsmooth optimization /
Ansari, Qamrul Hasan.

Generalized convexity, nonsmooth variational inequalities, and nonsmooth optimization /Q.H. Ansari, C. S. Lalitha, M. Mehta. - Boca Raton :CRC Press,2014. - xv, 280 p. :ill ;24 cm.

Includes bibliographical references and index.

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.

ISBN: 9781439868201GBP65.99

LCCN: 2013013506Subjects--Topical Terms:

709245
Nonsmooth optimization.

LC Class. No.: QA402.5 / .A4725 2013

Dewey Class. No.: 519.6

Generalized convexity, nonsmooth variational inequalities, and nonsmooth optimization /
LDR:02216cam a2200193 a 4500 001 1979313
008 150513s2014 flu b 001 0 eng
010 $a 2013013506
020 $a 9781439868201 $q (hbk.) : $c GBP65.99
020 $a 1439868204 $q (hbk.)
020 $a 1439868212 $q (ebk.)
020 $a 9781439868218 $q (ebk.)
040 $a DLC $b eng
050 0 0 $a QA402.5 $b .A4725 2013
082 0 0 $a 519.6 $2 23
100 1 $a Ansari, Qamrul Hasan. $3 1565453
245 1 0 $a Generalized convexity, nonsmooth variational inequalities, and nonsmooth optimization / $c Q.H. Ansari, C. S. Lalitha, M. Mehta.
260 # $a Boca Raton : $b CRC Press, $c 2014.
300 $a xv, 280 p. : $b ill ; $c 24 cm.
504 $a Includes bibliographical references and index.
520 # $a 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.
650 # 0 $a Nonsmooth optimization. $3 709245
650 # 0 $a Inequalities (Mathematics). $3 628081
700 1 # $a Lalitha, C. S. $3 2121420
700 1 # $a Mehta, M. $q (Monika) $3 2121421