MARC Record from Library of Congress

LEADER: 03163cam a2200409 i 4500
001 2013955299
003 DLC
005 20150909153540.0
008 131114t20142014nyu b 001 0 eng d
010 $a 2013955299
020 $a9781461495321 (hbk : acid-free paper)
020 $a1461495326 (hbk : acid-free paper )
020 $z9781461495338 (eBook)
035 $a(OCoLC)ocn875005617
040 $aIND$beng$cIND$erda$dIND$dYDXCP$dMUU$dOCLCF$dNAM$dDLC
042 $alccopycat
050 00 $aQA321.5$b.R45 2014
100 1 $aReich, Simeon.
245 10 $aGenericity in nonlinear analysis /$cSimeon Reich, Alexander J. Zaslavski.
264 1 $aNew York :$bSpringer,$c[2014]
264 4 $c©2014.
300 $axiii, 520 pages ;$c24 cm
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
338 $avolume$bnc$2rdacarrier
490 1 $aDevelopments in mathematics,$x1389-2177 ;$vvolume 34
504 $aIncludes bibliographical references (pages 513-518) and index.
505 0 $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.
520 3 $aThis book presents an extensive collection of state-of-the-art results and references in nonlinear functional analysis demonstrating how the generic approach proves to be very useful in solving many interesting and important problems. Nonlinear analysis plays an ever-increasing role in theoretical and applied mathematics, as well as in many other areas of science such as engineering, statistics, computer science, economics, finance, and medicine. The text may be used as supplementary material for graduate courses in nonlinear functional analysis, optimization theory and approximation theory, and is a treasure trove for instructors, researchers, and practitioners in mathematics and in the mathematical sciences. Each chapter is self-contained; proofs are solid and carefully communicated. Genericity in Nonlinear Analysis is the first book to systematically present the generic approach to nonlinear analysis. Topics presented include convergence analysis of powers and infinite products via the Baire Category Theorem, fixed point theory of both single- and set-valued mappings, best approximation problems, discrete and continuous descent methods for minimization in a general Banach space, and the structure of minimal energy configurations with rational numbers in the Aubry-Mather theory.--$cSource other than Library of Congress.
650 0 $aFunctional analysis.
650 0 $aMathematical optimization.
650 0 $aOperator theory.
650 7 $aFunctional analysis.$2fast$0(OCoLC)fst00936061
650 7 $aMathematical optimization.$2fast$0(OCoLC)fst01012099
650 7 $aOperator theory.$2fast$0(OCoLC)fst01046419
700 1 $aZaslavski, Alexander J.
830 0 $aDevelopments in mathematics ;$vv. 34.