Convergence Theorems of Fixed Points for Classes of Nonlinear Operator: Convergence Theorems of Fixed Points for Classes of Nonlinear Operators - Couverture souple

Mohammed Altwqi, Saeed; Ahmed Rashwan, Rashwan; Abd-Almonsf Allam, Ahmed

 
9783848417919: Convergence Theorems of Fixed Points for Classes of Nonlinear Operator: Convergence Theorems of Fixed Points for Classes of Nonlinear Operators
Couverture souple
ISBN 10 : 384841791X ISBN 13 : 9783848417919
Editeur : LAP LAMBERT Academic Publishing, 2012

Synopsis

The main purpose of this thesis is to establish the convergence theorems of fixed points for classes of nonlinear operators in difierent types of spaces such as normed spaces, Banach spaces, uniformly convex Banach spaces, and convex metric spaces. In Chapter 1, contains some fundamental concepts. In Chapter 2, we establish approximate common fixed points of three quasi-contractive operators on a normed space through an iteration process with errors. And we show that the Noor iteration converges faster than the Ishikawa and Mann iteration for the class of Zamfirescu operators. In chapter 3, we prove the convergence theorems for nonexpansive nonself mappings. In Chapter 4, we prove some strong and weak convergence theorems for generalized three step iterative scheme to approximate common fixed points of three asymptotically nonexpansive nonself mappings. In Chapter 5 we prove the convergence of the three-step iterative scheme for three mappings of asymptotically quasi-nonexpansive type in convex metric space.

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

Présentation de l'éditeur

The main purpose of this thesis is to establish the convergence theorems of fixed points for classes of nonlinear operators in difierent types of spaces such as normed spaces, Banach spaces, uniformly convex Banach spaces, and convex metric spaces. In Chapter 1, contains some fundamental concepts. In Chapter 2, we establish approximate common fixed points of three quasi-contractive operators on a normed space through an iteration process with errors. And we show that the Noor iteration converges faster than the Ishikawa and Mann iteration for the class of Zamfirescu operators. In chapter 3, we prove the convergence theorems for nonexpansive nonself mappings. In Chapter 4, we prove some strong and weak convergence theorems for generalized three step iterative scheme to approximate common fixed points of three asymptotically nonexpansive nonself mappings. In Chapter 5 we prove the convergence of the three-step iterative scheme for three mappings of asymptotically quasi-nonexpansive type in convex metric space.

Biographie de l'auteur

S. M. Altwqi, got his B. Sc. degree in Mathematics from sana'a University, Republic of Yemen in 2006, and his M.Sc. degree from Faculty of Science Assiut University, Egypt, in 2010. Now, he is studying a PhD degree at the Faculty of Science, University of Assiut, Egypt. The field study is the functional analysis.

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
2012
Langue
anglais
ISBN 10 
384841791X
ISBN 13 
9783848417919
Reliure
Broché
Nombre de pages
104
Coordonnées du fabricant
non disponible
Personne responsable
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