000 | 03165nam a22004935i 4500 | ||
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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 |
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024 | 7 |
_a10.1007/978-3-540-72234-2 _2doi |
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050 | 4 | _aQA329-329.9 | |
072 | 7 |
_aPBKF _2bicssc |
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072 | 7 |
_aMAT037000 _2bisacsh |
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072 | 7 |
_aPBKF _2thema |
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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. |
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300 |
_aXV, 326 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1912 |
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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 |