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The Resource Iterative approximation of fixed points, Vasile Berinde

Iterative approximation of fixed points, Vasile Berinde

Label
Iterative approximation of fixed points
Title
Iterative approximation of fixed points
Statement of responsibility
Vasile Berinde
Creator
Subject
Genre
Language
eng
Summary
"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."--Jacket
Member of
Action
digitized
Cataloging source
GW5XE
http://library.link/vocab/creatorDate
1955-
http://library.link/vocab/creatorName
Berinde, Vasile
Dewey number
515/.7248
Index
index present
Language note
English
LC call number
QA3
LC item number
.L28eb 1912
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Lecture notes in mathematics,
Series volume
1912
http://library.link/vocab/subjectName
  • Fixed point theory
  • Iterative methods (Mathematics)
  • Fixed point theory
  • Iterative methods (Mathematics)
  • Point fixe, Théorème du
  • Itération (Mathématiques)
  • Iterative methods (Mathematics)
  • Fixed point theory
  • Fixed point theory
  • Iterative methods (Mathematics)
  • Aproximação de ponto fixo
  • Métodos iterativos
Label
Iterative approximation of fixed points, Vasile Berinde
Instantiates
Publication
Note
  • "Originally (1st edition) published by Editura Efemeride, Baia Mare, Romania, 2002"--Title page verso
  • Revised thesis (doctoral) - Universitatea Babes-Bolyai, Cluj-Napoca
Bibliography note
Includes bibliographical references (pages 221-304) and indexes
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Pre-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
Control code
185023174
Dimensions
unknown
Edition
2nd rev. and enl. ed.
Extent
1 online resource (xv, 322 pages).
Form of item
online
Isbn
9786610853502
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-540-72234-2
http://library.link/vocab/ext/overdrive/overdriveId
978-3-540-72233-5
Reproduction note
Electronic reproduction.
Specific material designation
remote
System control number
(OCoLC)185023174
System details
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Label
Iterative approximation of fixed points, Vasile Berinde
Publication
Note
  • "Originally (1st edition) published by Editura Efemeride, Baia Mare, Romania, 2002"--Title page verso
  • Revised thesis (doctoral) - Universitatea Babes-Bolyai, Cluj-Napoca
Bibliography note
Includes bibliographical references (pages 221-304) and indexes
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Pre-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
Control code
185023174
Dimensions
unknown
Edition
2nd rev. and enl. ed.
Extent
1 online resource (xv, 322 pages).
Form of item
online
Isbn
9786610853502
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-540-72234-2
http://library.link/vocab/ext/overdrive/overdriveId
978-3-540-72233-5
Reproduction note
Electronic reproduction.
Specific material designation
remote
System control number
(OCoLC)185023174
System details
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.

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