Cone metric spaces and fixed point theorems
Other Title(s)
الفضاءات المترية المخروطية و نظريات النقطة الثابتة
Dissertant
Thesis advisor
Comitee Members
al-Jaradat, Umar Khalid
al-Butush, Ratib Hamid
al-Banawi, Kamal Ata Allah Salih
University
Mutah University
Faculty
Faculty of Science
Department
Department of Mathematics and Statistics
University Country
Jordan
Degree
Master
Degree Date
2017
English Abstract
In this thesis , many and many topics in a cone metric spaces are studied with more details , but in a new way which different from metric spaces .
Some concepts and theorems are studied in cone metric spaces and their properties , and others with existence and uniqueness of fixed points for mappings which defined on a cone metric space , which followed by a common fixed point theorems for a family of self-maps .
On the other hand , some theorems in metric spaces are generalized to cone metric spaces and some properties are incorrect in cone metric spaces but hold in ordinary case.
Here , it must be noted that the possibility of creating an equivalence between cone metric space and metric space , by defining a metric on the cone metric space .
Moreover , some properties in both spaces satisfying if the equivalence holds.
Main Subjects
No. of Pages
35
Table of Contents
Table of contents.
Abstract.
Abstract in Arabic.
Chapter One : Introduction.
Chapter Two : Preliminaries.
Chapter Three : Fixed point theory on cone metric spaces.
Chapter Four : Generalized concepts in cone metris spaces.
Conclusion.
References.
American Psychological Association (APA)
al-Msadin, Ala Mazin Awdah. (2017). Cone metric spaces and fixed point theorems. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-780391
Modern Language Association (MLA)
al-Msadin, Ala Mazin Awdah. Cone metric spaces and fixed point theorems. (Master's theses Theses and Dissertations Master). Mutah University. (2017).
https://search.emarefa.net/detail/BIM-780391
American Medical Association (AMA)
al-Msadin, Ala Mazin Awdah. (2017). Cone metric spaces and fixed point theorems. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-780391
Language
English
Data Type
Arab Theses
Record ID
BIM-780391