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 Back To Researches Page