Iterative Approximation of Fixed Points
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...
Bewaard in:
| Hoofdauteur: | |
|---|---|
| Formaat: | Livre numérique |
| Taal: | Anglais |
| Gepubliceerd in: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
2007.
Cham : Springer Nature |
| Reeks: | Lecture Notes in Mathematics
1912 |
| Onderwerpen: | |
| Online toegang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Opmerking: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Iterative Approximation of Fixed Points, Texte imprimé, 9783540722335 • Iterative Approximation of Fixed Points, Texte imprimé, 9783540837879 |
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| 082 | |a 515.7248 | ||
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| 084 | |a 47H10. 2010 | ||
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| 100 | 1 | |a Berinde, Vasile, |d 1955- | |
| 245 | 1 | 0 | |a Iterative Approximation of Fixed Points |c Vasile Berinde. |
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c 2007. | ||
| 490 | 1 | |a Lecture Notes in Mathematics |v 1912 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a 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. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. chttps://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |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. | ||
| 650 | |a Itération (mathématiques) | ||
| 650 | |a Théorème du point fixe | ||
| 650 | |a Approximation, Théorie de l' | ||
| 650 | |a Analyse numérique | ||
| 650 | |a Topologie | ||
| 650 | |a Mathématiques | ||
| 650 | |a Théorie des opérateurs | ||
| 776 | 0 | |t Iterative Approximation of Fixed Points |b Texte imprimé |z 9783540722335 | |
| 776 | 0 | |t Iterative Approximation of Fixed Points |b Texte imprimé |z 9783540837879 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-3-540-72234-2 |z Accès sur la plateforme de l'éditeur | |
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| 856 | 4 | |5 452349901:747883165 |u https://ezproxy.univ-orleans.fr/login?url=https://dx.doi.org/10.1007/978-3-540-72234-2 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:750895799 |u https://ezproxy.insa-cvl.fr/login?qurl=https://dx.doi.org/10.1007/978-3-540-72234-2 |z Accès INSA CVL | |
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