000 03201nam a22004455i 4500
001 978-1-4614-1019-5
003 DE-He213
005 20140220083241.0
007 cr nn 008mamaa
008 111111s2012 xxu| s |||| 0|eng d
020 _a9781461410195
_9978-1-4614-1019-5
024 7 _a10.1007/978-1-4614-1019-5
_2doi
050 4 _aQA402.5-402.6
072 7 _aPBU
_2bicssc
072 7 _aMAT003000
_2bisacsh
082 0 4 _a519.6
_223
100 1 _aBounkhel, Messaoud.
_eauthor.
245 1 0 _aRegularity Concepts in Nonsmooth Analysis
_h[electronic resource] :
_bTheory and Applications /
_cby Messaoud Bounkhel.
264 1 _aNew York, NY :
_bSpringer New York,
_c2012.
300 _aXVI, 264 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringer Optimization and Its Applications,
_x1931-6828 ;
_v59
505 0 _a1. Nonsmooth Concepts -- 2. Regularity -- 3. Regularity of Functions -- 4. Regularity of Set-Valued Mappings -- 5. First Order Differential Inclusions -- 6. Second Order Differential Inclusions -- 7. Quasi-Variational Inequalities -- 8. Time Dependent Quasi-Variational Inequalities -- 9. Economic Problems and Equilibrium Theory -- Index.
520 _aRegularity concepts have played an increasingly important role in the applications of nonsmooth analysis, including differential inclusions, optimization, and variational inequalities. This heightened role has made it beneficial to introduce graduate students and young researchers to the basic concepts of regularity and their applications. This book is devoted to the study of various regularity notions in nonsmooth analysis and their applications. It is the first thorough study of the regularity of functions, sets, and multifunctions, as well as their applications to differential inclusions and variational inequalities.   Regularity Concepts in Nonsmooth Analysis is divided into three accessible parts. The first section presents a thorough introduction to nonsmooth analysis theory, using examples and exercises to explain main concepts and show useful results. The second part demonstrates the most recent results of various regularity concepts of sets, functions, and set-valued mappings in nonsmooth analysis. The final section addresses different applications, including first order and second order differential inclusions, quasi-variational, and equilibrium theory.   This book is designed for graduate students, researchers, and general practitioners interested in the applications of nonsmooth analysis.
650 0 _aMathematics.
650 0 _aMathematical optimization.
650 1 4 _aMathematics.
650 2 4 _aOptimization.
650 2 4 _aCalculus of Variations and Optimal Control; Optimization.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781461410188
830 0 _aSpringer Optimization and Its Applications,
_x1931-6828 ;
_v59
856 4 0 _uhttp://dx.doi.org/10.1007/978-1-4614-1019-5
912 _aZDB-2-SMA
999 _c100971
_d100971