On Fixed Point Theorems in Some Types of Spaces - Couverture souple

Abdullah, Alaa; Abd, Salwa

 
9783659255717: On Fixed Point Theorems in Some Types of Spaces
Couverture souple
ISBN 10 : 3659255718 ISBN 13 : 9783659255717
Editeur : LAP LAMBERT Academic Publishing, 2014

Synopsis

In this booked point theorems are proved for independent types of contraction mappings; and, also give a generalization of these cases by Ciric’s contraction mapping is given. All these results are proved in complete, orbitally complete or chainable orbitally complete G-metric space in two states goloblly or locally. Secondly, the concepts of compatible, semi-compatible or weakly commuting are applied to prove common fixed point theorems for two mappings. Also other results are formulated without any commuting condition to get common fixed points for two or more than two mappings. Finally, the new concept of ωG-distance are presented in this book and used to introduce some important results in G-metric space, such as fixed point theorems, non-convex minimization theorem, ε-variational principle, generalization of Carsiti’s theorem and infinite fixed points Carsiti’s theorem.

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

Présentation de l'éditeur

In this booked point theorems are proved for independent types of contraction mappings; and, also give a generalization of these cases by Ciric’s contraction mapping is given. All these results are proved in complete, orbitally complete or chainable orbitally complete G-metric space in two states goloblly or locally. Secondly, the concepts of compatible, semi-compatible or weakly commuting are applied to prove common fixed point theorems for two mappings. Also other results are formulated without any commuting condition to get common fixed points for two or more than two mappings. Finally, the new concept of ωG-distance are presented in this book and used to introduce some important results in G-metric space, such as fixed point theorems, non-convex minimization theorem, ε-variational principle, generalization of Carsiti’s theorem and infinite fixed points Carsiti’s theorem.

Biographie de l'auteur

Alaa Abdullah has obtained her BSc from mathematical department in 2002 and MSc in 2012 from Baghdad University,She works at College of science\ Al-Mustansiriya University. Dr. Salwa S. Abd PhD. in EducationCollege Ibn Al-Haitham, Mathematics Department.

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
2014
Langue
anglais
ISBN 10 
3659255718
ISBN 13 
9783659255717
Reliure
Broché
Nombre de pages
100
Coordonnées du fabricant
non disponible
Personne responsable
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