Cone metric spaces and fixed point theorems

Other Title(s)

الفضاءات المترية المخروطية و نظريات النقطة الثابتة

Dissertant

al-Msadin, Ala Mazin Awdah

Thesis advisor

al-Qadiri, Muhammad Husayn

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

Mathematics

No. of Pages

35

Table of Contents

• APA
• MLA
• AMA

Language

English

Data Type

Arab Theses

Record ID

BIM-780391