LEADER 03130oam 2200457 450 001 9910299965703321 005 20190911103512.0 010 $a1-4614-9533-4 024 7 $a10.1007/978-1-4614-9533-8 035 $a(OCoLC)869792990 035 $a(MiFhGG)GVRL6WMM 035 $a(EXLCZ)993710000000073717 100 $a20140416d2014 uy 0 101 0 $aeng 135 $aurun|---uuuua 181 $ctxt 182 $cc 183 $acr 200 10$aGenericity in nonlinear analysis /$fSimeon Reich, Alexander J. Zaslavski 205 $a1st ed. 2014. 210 1$aNew York :$cSpringer,$d2014. 215 $a1 online resource (xiii, 520 pages) 225 1 $aDevelopments in Mathematics,$x1389-2177 ;$v34 300 $a"ISSN: 1389-2177." 300 $a"ISSN: 2197-795X (electronic)." 311 $a1-4614-9532-6 320 $aIncludes bibliographical references and index. 327 $aPreface -- 1. Introduction -- 2. Fixed Point Results and Convergence of Powers of Operators -- 3. Contractive Mappings -- 4. Dynamical Systems with Convex Lyapunov Functions -- 5. Relatively Nonexpansive Operators with Respect to Bregman Distances.- 6. Infinite Products -- 7. Best Approximation -- 8. Descent Methods -- 9. Set-Valued Mappings -- 10. Minimal Configurations in the Aubry?Mather Theory -- References -- Index. 330 $aThis book presents an extensive collection of state-of-the-art results and references in nonlinear functional analysis demonstrating how the generic approach proves to be very useful in solving many interesting and important problems. Nonlinear analysis plays an ever-increasing role in theoretical and applied mathematics, as well as in many other areas of science such as engineering, statistics, computer science, economics, finance, and medicine. The text may be used as supplementary material for graduate courses in nonlinear functional analysis, optimization theory and approximation theory, and is a treasure trove for instructors, researchers, and practitioners in mathematics and in the mathematical sciences.   Each chapter is self-contained; proofs are solid and carefully communicated. Genericity in Nonlinear Analysis is the first book to systematically present the generic approach to nonlinear analysis. Topics presented include convergence analysis of powers and infinite products via the Baire Category Theorem, fixed point theory of both single- and set-valued mappings, best approximation problems, discrete and continuous descent methods for minimization in a general Banach space, and the structure of minimal energy configurations with rational numbers in the Aubry?Mather theory. 410 0$aDevelopments in mathematics ;$vvolume 34. 606 $aNonlinear functional analysis 615 0$aNonlinear functional analysis. 676 $a515.7248 700 $aReich$b Simeon$4aut$4http://id.loc.gov/vocabulary/relators/aut$0625739 702 $aZaslavski$b Alexander J. 801 0$bMiFhGG 801 1$bMiFhGG 906 $aBOOK 912 $a9910299965703321 996 $aGenericity in Nonlinear Analysis$92529245 997 $aUNINA LEADER 03625nam 22007332 450 001 9910819789303321 005 20151005020622.0 010 $a1-107-21778-4 010 $a1-139-08872-6 010 $a1-283-12746-6 010 $a1-139-09250-2 010 $a9786613127464 010 $a1-139-09301-0 010 $a1-139-09199-9 010 $a1-139-09019-4 010 $a1-139-09110-7 010 $a1-139-00361-5 035 $a(CKB)3460000000002919 035 $a(EBL)713055 035 $a(OCoLC)735595823 035 $a(SSID)ssj0000523549 035 $a(PQKBManifestationID)11332670 035 $a(PQKBTitleCode)TC0000523549 035 $a(PQKBWorkID)10543397 035 $a(PQKB)11770336 035 $a(UkCbUP)CR9781139003612 035 $a(MiAaPQ)EBC713055 035 $a(Au-PeEL)EBL713055 035 $a(CaPaEBR)ebr10476515 035 $a(CaONFJC)MIL312746 035 $a(PPN)154981451 035 $a(EXLCZ)993460000000002919 100 $a20110124d2011|||| uy| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aInvisible hands, Russian experience, and social science $eapproaches to understanding systemic failure /$fStefan Hedlund$b[electronic resource] 210 1$aCambridge :$cCambridge University Press,$d2011. 215 $a1 online resource (xvi, 307 pages) $cdigital, PDF file(s) 300 $aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). 311 $a1-107-62781-8 311 $a0-521-76810-1 320 $aIncludes bibliographical references and index. 327 $aOpportunity and self-interest -- Scope and tradition of social science -- Markets under central planning -- Russia's historical legacy -- Markets everywhere -- Institutional choice -- History matters -- Concluding discussion -- Implications for social science. 330 $aThis book investigates cases in which national and international activities have gone massively wrong, entailing seriously negative consequences, and in which the sophisticated analytical models of social science have ceased to be helpful. Illustrations range from the global financial crisis to the failure to achieve speedy systemic change in the former Soviet Union and the failure to achieve development in the Third World. The analysis uses as a backdrop long-term Russian history and short-term Russian encounters with unrestrained capitalism to develop a framework that is based in the so-called new institutionalism. Understanding the causes of systemic failure is shown to require an approach that spans across the increasingly specialized subdisciplines of modern social science. Demonstrating that increasing theoretical sophistication has been bought at the price of a loss of perspective and the need for sensitivity to the role of cultural and historical specificity, the book pleads the case for a new departure in seeking to model the motives for human action. 517 3 $aInvisible Hands, Russian Experience, & Social Science 606 $aEconomics 606 $aEconomic development$zRussia (Federation) 606 $aEconomic history 606 $aFinancial crises 615 0$aEconomics. 615 0$aEconomic development 615 0$aEconomic history. 615 0$aFinancial crises. 676 $a330 700 $aHedlund$b Stefan$f1953-$0123767 801 0$bUkCbUP 801 1$bUkCbUP 906 $aBOOK 912 $a9910819789303321 996 $aInvisible hands, Russian experience, and social science$94023097 997 $aUNINA