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Iterative methods for fixed point pr...

Cegielski, Andrzej.

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Iterative methods for fixed point problems in Hilbert spaces /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Iterative methods for fixed point problems in Hilbert spaces // Andrzej Cegielski.
作者:	Cegielski, Andrzej.
出版者:	Heidelberg ;Springer, : c2012.,
面頁冊數:	xvi, 298 p. :ill. (some col.) ;24 cm.
標題:	Fixed point theory. -
電子資源:	http://dx.doi.org/10.1007/978-3-642-30901-4Via SpringerLink
ISBN:	9783642309007 (pbk.) :
ISSN:	00758434

Iterative methods for fixed point problems in Hilbert spaces /
Cegielski, Andrzej.

Iterative methods for fixed point problems in Hilbert spaces /Andrzej Cegielski. - Heidelberg ;Springer,c2012. - xvi, 298 p. :ill. (some col.) ;24 cm. - Lecture notes in mathematics,20570075-8434 ;. - Lecture notes in mathematics (Springer-Verlag) ;2002..

Includes bibliographical references and index.

Algorithmic operators --

"Iterative methods for finding fixed points of non-expansive operators in Hilbert spaces have been described in many publications. In this monograph we try to present the methods in a consolidated way. We introduce several classes of operators, examine their properties, define iterative methods generated by operators from these classes and present general convergence theorems. On this basis we discuss the conditions under which particular methods converge. A large part of the results presented in this monograph can be found in various forms in the literature (although several results presented here are new). We have tried, however, to show that the convergence of a large class of iteration methods follows from general properties of some classes of operators and from some general convergence theorems."--Publisher's website.

ISBN: 9783642309007 (pbk.) :EUR69.95

ISSN: 00758434

LCCN: 2012945521Subjects--Topical Terms:

546826
Fixed point theory.

LC Class. No.: QA329.9 / .C44 2012

Iterative methods for fixed point problems in Hilbert spaces /
LDR:01903cam a2200289Ma 4500 001 1337391
003 OCoLC
005 20130523115839.0
008 130322s2012 gw a b 001 0 eng
010 $a 2012945521
020 $a 9783642309007 (pbk.) : $c EUR69.95
020 $a 3642309003 (pbk.)
020 $a 9783642309014 (ebk.)
020 $a 3642309011 (ebk.)
022 $a 00758434
022 $a 16179692 (e-ISSN)
035 $a AS-BW-102-01
040 $a DLC $b eng
050 # 4 $a QA329.9 $b .C44 2012
050 # 4 $a QA3 $b .L28 no.2057
100 1 $a Cegielski, Andrzej. $3 1783643
245 1 0 $a Iterative methods for fixed point problems in Hilbert spaces / $c Andrzej Cegielski.
260 # $a Heidelberg ; $a London ; $a New York : $b Springer, $c c2012.
300 $a xvi, 298 p. : $b ill. (some col.) ; $c 24 cm.
490 1 0 $a Lecture notes in mathematics, $x 0075-8434 ; $v 2057
504 $a Includes bibliographical references and index.
505 $t Algorithmic operators -- $t Convergence of iterative methods -- $t Algorithmic projection operators -- $t Projection methods.
520 # $a "Iterative methods for finding fixed points of non-expansive operators in Hilbert spaces have been described in many publications. In this monograph we try to present the methods in a consolidated way. We introduce several classes of operators, examine their properties, define iterative methods generated by operators from these classes and present general convergence theorems. On this basis we discuss the conditions under which particular methods converge. A large part of the results presented in this monograph can be found in various forms in the literature (although several results presented here are new). We have tried, however, to show that the convergence of a large class of iteration methods follows from general properties of some classes of operators and from some general convergence theorems."--Publisher's website.
650 # 0 $a Fixed point theory. $3 546826
650 # 0 $a Iterative methods (Mathematics) $3 648278
650 # 0 $a Hilbert space. $3 558371
830 0 $a Lecture notes in mathematics (Springer-Verlag) ; $v 2002. $3 1235985
856 4 1 $u http://dx.doi.org/10.1007/978-3-642-30901-4 $z Via SpringerLink