Articles liés à Fixed Point Theory: Banach, Brouwer and Schauder Theorems:...

Fixed Point Theory: Banach, Brouwer and Schauder Theorems: Fixed Point Theory: Banach, Brouwer and Schauder Theorems - Couverture souple

Shamash, Ellis

 
9783838350028: Fixed Point Theory: Banach, Brouwer and Schauder Theorems: Fixed Point Theory: Banach, Brouwer and Schauder Theorems
Couverture souple
ISBN 10 : 3838350022 ISBN 13 : 9783838350028
Editeur : LAP LAMBERT Academic Publishing, 2010

Synopsis

The primary focus of this work is the Brouwer and Schauder fixed point (points that are mapped onto itself) theorems. These theroems give the existence for the presence of fixed points in normed linear spaces. Brouwer considers finite- dimensional spaces while Schauder extend the theory to infinite-dimensional spaces. For completeness we also include material on the Banach fixed point theorem. Banach?s theorem restricts the subject of fixed points to certain mappings (contraction mapping). With these restrictions we can state sufficient conditions for the existence and uniqueness of a fixed point. Banach?s result also provide an interative procedure for obtaining approximations for the fixed point as well as error bounds on the approximation. After providing the background material needed in the understanding of these theorems we state and provide proofs of these theorems. For each of these theorems a number of applications are considered.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

The primary focus of this work is the Brouwer and Schauder fixed point (points that are mapped onto itself) theorems. These theroems give the existence for the presence of fixed points in normed linear spaces. Brouwer considers finite- dimensional spaces while Schauder extend the theory to infinite-dimensional spaces. For completeness we also include material on the Banach fixed point theorem. Banach?s theorem restricts the subject of fixed points to certain mappings (contraction mapping). With these restrictions we can state sufficient conditions for the existence and uniqueness of a fixed point. Banach?s result also provide an interative procedure for obtaining approximations for the fixed point as well as error bounds on the approximation. After providing the background material needed in the understanding of these theorems we state and provide proofs of these theorems. For each of these theorems a number of applications are considered.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
LAP LAMBERT Academic Publishing
Date d'édition
2010
Langue
anglais
ISBN 10 
3838350022
ISBN 13 
9783838350028
Reliure
Broché
Nombre de pages
84
Coordonnées du fabricant
non disponible
Personne responsable
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