MARC Record from Library of Congress

LEADER: 03020cam a2200373 i 4500
001 2013013506
003 DLC
005 20151024081526.0
008 130521t20142014flu b 001 0 eng
010 $a 2013013506
020 $a9781439868201 (hardback : acid-free paper)
020 $a1439868204 (hardback : acid-free paper)
040 $aDLC$beng$cDLC$erda$dDLC
042 $apcc
050 00 $aQA402.5$b.A4725 2013
082 00 $a519.6$223
084 $aBUS049000$aMAT003000$aTEC029000$2bisacsh
100 1 $aAnsari, Qamrul Hasan,$eauthor.
245 10 $aGeneral convexity, nonsmooth variational inequalities, and nonsmooth optimization /$cQ.H. Ansari, Aligarh Muslim University, India, C.S. Lalitha, University of Delhi South Campus, India, M. Mehta, Satyawati College, University of Delhi, India.
264 1 $aBoca Raton :$bCRC Press,$c[2014]
264 4 $c©2014
300 $axv, 280 pages ;$c24 cm
336 $atext$2rdacontent
337 $aunmediated$2rdamedia
338 $avolume$2rdacarrier
520 $a"Until now, no book addressed convexity, monotonicity, and variational inequalities together. Generalized Convexity, Nonsmooth Variational Inequalities, and Nonsmooth Optimization covers all three topics, including new variational inequality problems defined by a bifunction.The first part of the book focuses on generalized convexity and generalized monotonicity. The authors investigate convexity and generalized convexity for both the differentiable and nondifferentiable case. For the nondifferentiable case, they introduce the concepts in terms of a bifunction and the Clarke subdifferential.The second part offers insight into variational inequalities and optimization problems in smooth as well as nonsmooth settings. The book discusses existence and uniqueness criteria for a variational inequality, the gap function associated with it, and numerical methods to solve it. It also examines characterizations of a solution set of an optimization problem and explores variational inequalities defined by a bifunction and set-valued version given in terms of the Clarke subdifferential.Integrating results on convexity, monotonicity, and variational inequalities into one unified source, this book deepens your understanding of various classes of problems, such as systems of nonlinear equations, optimization problems, complementarity problems, and fixed-point problems. The book shows how variational inequality theory not only serves as a tool for formulating a variety of equilibrium problems, but also provides algorithms for computational purposes"--$cProvided by publisher.
504 $aIncludes bibliographical references and index.
650 0 $aNonsmooth optimization.
650 0 $aInequalities (Mathematics)
650 7 $aBUSINESS & ECONOMICS / Operations Research.$2bisacsh
650 7 $aMATHEMATICS / Applied.$2bisacsh
650 7 $aTECHNOLOGY & ENGINEERING / Operations Research.$2bisacsh
700 1 $aLalitha, C. S.,$eauthor.
700 1 $aMehta, M.$q(Monika),$eauthor.