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008 070327s2007 gw b 001 0 eng d
010 _a 2007925692
016 7 _a983658978
_2DE-101
020 _a9783540722335 (softcover : alk. paper)
020 _a3540722335 (softcover : alk. paper)
035 _a(OCoLC)ocn137248687
040 _aOHX
_cOHX
_dYDXCP
_dCUY
_dBTCTA
_dBAKER
_dIXA
_dIQU
_dMUQ
_dAU@
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042 _alccopycat
050 0 0 _aQA329.9
_b.B47 2007
072 7 _aQA
_2lcco
082 0 4 _a515.7
_222
082 0 4 _a518.26
_222
100 1 _aBerinde, Vasile,
_d1955-
_9398
245 1 0 _aIterative approximation of fixed points /
_cVasile Berinde.
250 _a2nd rev. and enl. ed.
260 _aBerlin ;
_aNew York :
_bSpringer,
_cc2007.
300 _axv, 322 p. ;
_c24 cm.
490 1 _aLecture notes in mathematics,
_x0075-8434 ;
_v1912
500 _a"Originally (1st edition) published by Editura Efemeride, Baia Mare, Romania, 2002"--T.p. verso.
500 _aRevised thesis (doctoral) - Universitatea Babes-Bolyai, Cluj-Napoca.
504 _aIncludes bibliographical references (p. [221]-304) and indexes.
520 1 _a"The aim of this monograph is to give a unified introductory treatment of the most important iterative methods for constructing fixed points of nonlinear contractive type mappings. It summarizes the most significant contributions in the area by presenting, for each iterative method considered (Picard iteration, Krasnoselskij iteration, Mann iteration, Ishikawa iteration etc.), some of the most relevant, interesting, representative and actual convergence theorems. Applications to the solution of nonlinear operator equations as well as the appropriate error analysis of the main iterative methods, are also presented. Due to the explosive number of research papers on the topic (in the last 15 years only, more than one thousand articles related to the subject were published), it was felt that such a monograph was imperatively necessary. The volume is useful for authors, editors, and reviewers. It introduces concrete criteria for evaluating and judging the plethora of published papers."--BOOK JACKET.
650 0 _aFixed point theory.
_9399
650 0 _aIterative methods (Mathematics)
_9400
650 0 _aFixed point theory
_vBibliography.
_9401
650 0 _aIterative methods (Mathematics)
_vBibliography.
_9402
650 6 _aPoint fixe, Théorème du.
_9403
650 6 _aItération (Mathématiques)
_9404
650 7 _aAproximação de ponto fixo.
_2larpcal
_9405
650 7 _aMétodos iterativos.
_2larpcal
_9406
830 0 _aLecture notes in mathematics (Springer-Verlag) ;
_v1912.
_9407
856 4 1 _uhttp://www.springerlink.com/openurl.asp?genre=issue&issn=0075-8434&volume=1912
856 4 2 _3Publisher description
_uhttp://www.loc.gov/catdir/enhancements/fy0826/2007925692-d.html
856 4 1 _3Table of contents only
_uhttp://www.loc.gov/catdir/enhancements/fy0826/2007925692-t.html
906 _a7
_bcbc
_ccopycat
_d2
_encip
_f20
_gy-gencatlg
942 _2lcc
_cBK
_e2nd
_hQA329.9.B47 2007
_kQA329.9
_m.B47 2007
955 _bxh14 2012-05-14 z-processor
_ihh15 2012-06-26 to BCCD c.1
955 _apc17 2007-03-27
_ath57 2011-03-04 to USPL/STM