000 03165nam a22004935i 4500
001 978-3-540-72234-2
003 DE-He213
005 20190213151755.0
007 cr nn 008mamaa
008 100301s2007 gw | s |||| 0|eng d
020 _a9783540722342
_9978-3-540-72234-2
024 7 _a10.1007/978-3-540-72234-2
_2doi
050 4 _aQA329-329.9
072 7 _aPBKF
_2bicssc
072 7 _aMAT037000
_2bisacsh
072 7 _aPBKF
_2thema
082 0 4 _a515.724
_223
100 1 _aBerinde, Vasile.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aIterative Approximation of Fixed Points
_h[electronic resource] /
_cby Vasile Berinde.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2007.
300 _aXV, 326 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1912
505 0 _aPre-Requisites of Fixed Points -- The Picard Iteration -- The Krasnoselskij Iteration -- The Mann Iteration -- The Ishikawa Iteration -- Other Fixed Point Iteration Procedures -- Stability of Fixed Point Iteration Procedures -- Iterative Solution of Nonlinear Operator Equations -- Error Analysis of Fixed Point Iteration Procedures.
520 _aThe 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.
650 0 _aOperator theory.
650 0 _aNumerical analysis.
650 0 _aTopology.
650 1 4 _aOperator Theory.
_0http://scigraph.springernature.com/things/product-market-codes/M12139
650 2 4 _aNumerical Analysis.
_0http://scigraph.springernature.com/things/product-market-codes/M14050
650 2 4 _aTopology.
_0http://scigraph.springernature.com/things/product-market-codes/M28000
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540837879
776 0 8 _iPrinted edition:
_z9783540722335
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1912
856 4 0 _uhttps://doi.org/10.1007/978-3-540-72234-2
912 _aZDB-2-SMA
912 _aZDB-2-LNM
999 _c11837
_d11837