000 02981nam a22004575i 4500
001 978-1-4419-7585-0
003 DE-He213
005 20140220083724.0
007 cr nn 008mamaa
008 101117s2011 xxu| s |||| 0|eng d
020 _a9781441975850
_9978-1-4419-7585-0
024 7 _a10.1007/978-1-4419-7585-0
_2doi
050 4 _aQA299.6-433
072 7 _aPBK
_2bicssc
072 7 _aMAT034000
_2bisacsh
082 0 4 _a515
_223
100 1 _aCarl, Siegfried.
_eauthor.
245 1 0 _aFixed Point Theory in Ordered Sets and Applications
_h[electronic resource] :
_bFrom Differential and Integral Equations to Game Theory /
_cby Siegfried Carl, Seppo Heikkilä.
264 1 _aNew York, NY :
_bSpringer New York,
_c2011.
300 _aXIII, 477p. 20 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aPreface -- Introduction -- Fundamental Order-Theoretic Principles -- Multi-Valued Variational Inequalities -- Discontinuous Multi-Valued Elliptic Problems -- Discontinutous Multi-Valued Evolutionary Problems -- Banach-Valued Ordinary Differential Equations -- Banach-Valued Integral Equations -- Game Theory -- Appendix -- List of Symbols -- References -- Index.
520 _aThis monograph provides a unified and comprehensive treatment of an order-theoretic fixed point theory in partially ordered sets and its various useful interactions with topological structures. It begins with a discussion of some simple examples of the order-theoretic fixed point results along with simple applications from each of the diverse fields. The fixed point theory is then developed and preliminary results on multi-valued variational inequalities regarding the topological and order-theoretical structure of solution sets are covered. This is followed by more advanced material which demonstrates the power of the developed fixed point theory. In the treatment of the applications a wide range of mathematical theories and methods from nonlinear analysis and integration theory are applied; an outline of which has been given in an appendix chapter to make the book self-contained. Graduate students and researchers in nonlinear analysis, pure and applied mathematics, game theory and mathematical economics will find this book useful.
650 0 _aMathematics.
650 0 _aGlobal analysis (Mathematics).
650 0 _aEconomics, Mathematical.
650 1 4 _aMathematics.
650 2 4 _aAnalysis.
650 2 4 _aGame Theory, Economics, Social and Behav. Sciences.
650 2 4 _aGame Theory/Mathematical Methods.
700 1 _aHeikkilä, Seppo.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781441975843
856 4 0 _uhttp://dx.doi.org/10.1007/978-1-4419-7585-0
912 _aZDB-2-SMA
999 _c105806
_d105806