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 01377nam0 22003131i 450 001 UON00005412 005 20231205101909.143 010 $a09-347-1854-7 100 $a20020107d1988 |0itac50 ba 101 $aeng 102 $aUS 105 $a|||| 1|||| 200 1 $aAltyn-Depe$fV.M. Masson$gtranslated by Henry N. Michael 210 $aPhiladelphia$cUniverity Museum$d1988 215 $axviii, 149 p.$c42 tav.$d28 cm 410 1$1001UON00005414$12001 $aUniversity Museum Monograph$1210 $aPhiladelphia$cUniversity Museum, University of Pennsylvania$d1949- v. ; cm$v55 606 $aArcheologia$xAsia Centrale (Turkmenistan)$xAltyn$xTepe$3UONC001512$2FI 620 $aUS$dPhiladelphia$3UONL000152 686 $aAC X C$cASIA CENTRALE - ARCHEOLOGIA - SITI$2A 700 1$aMASSON$bVadim Mixajlovi?$3UONV004179$0635180 702 1$aMICHAEL$bHenry N.$3UONV023732 712 02$aAkademija Nauk Turkmenskoj SSR$3UONV004550 712 $aUniversity Museum (University of Pennsylvania, Philadelphia)$3UONV249553$4650 801 $aIT$bSOL$c20250328$gRICA 899 $aSIBA - SISTEMA BIBLIOTECARIO DI ATENEO$2UONSI 912 $aUON00005412 950 $aSIBA - SISTEMA BIBLIOTECARIO DI ATENEO$dSI AC X C 052 $eSI SA 72404 5 052 996 $aAltyn-Depe$91175492 997 $aUNIOR