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Document Details
Document Type
:
Thesis
Document Title
:
Modular Function Spaces and Their Geometric Properties
فضاءات الدوال القياسية و خواصها الهندسية
Subject
:
Mathematics
Document Language
:
Arabic
Abstract
:
A detailed discussion regarding basic concepts and facts of modular spaces is included. Completeness of the modular function space L? is shown. Several distinguishing features of the modular function ? satisfying the ?2-condition are highlighted. A brief description of some geometric properties such as uniform convexity, normal structure and uniform noncompact convexity in modular spaces is given. It is shown that the modular function space L? satisfies ?-a.e. uniform Kadec-Klee property as well as ?-a.e. uniform Opial condition. Some variants of the Banach contraction principle for modular function spaces are presented. Fixed point theory for ?-nonexpansive mapping using some geometric properties is studied. The existence of fixed points of ?-isometries in ?r-uniformly convex modular spaces is also established
Supervisor
:
Dr. Naseer Shahzad Mohamed
Thesis Type
:
Master Thesis
Publishing Year
:
1427 AH
2006 AD
Added Date
:
Wednesday, June 11, 2008
Researchers
Researcher Name (Arabic)
Researcher Name (English)
Researcher Type
Dr Grade
Email
مريم محمد كريدم
Kreydem, Mariam Mohammed
Researcher
Master
mkradem@kau.edu.sa
Files
File Name
Type
Description
23722.pdf
pdf
المستخلص
23723.pdf
pdf
Abstract
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