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Document Details
Document Type
:
Thesis
Document Title
:
ON FIXED POINTS AND ITERATION OF GENERALIZED NONEXPANSIVE MAPPINGS
حول النقاط الثابتة وتكرار التطبيقات الغير تمددية المعممة
Subject
:
Faculty of Sciences
Document Language
:
Arabic
Abstract
:
Normed spaces having the reflexivity condition and Opial property are studied. Convexity in Banach spaces is dicussed in details. Fixed points theorems for contraction, contractive and nonexpansive mappings are presented. Some properties of the set of best approximations are also highlighted. Fixed point theorem for a generalization of contractions is presented. Convrgence results for quasi-nonexpansive mappings are given. Relationships among nonexpansive mappings, quasi-nonexpansive mappings and mappings satisfying condition (C) are established. Fixed points of mappings satisfying condition (C) in Banach spaces are obtained. Edelstein's method for mappings satisfying condition (C) is given. Theorems of Goebel-Kalovitz and Maurey are presented. Some applications in best approximation theory are also derived.
Supervisor
:
Prof. Dr. Naseer Shahzad
Thesis Type
:
Master Thesis
Publishing Year
:
1431 AH
2010 AD
Added Date
:
Wednesday, June 16, 2010
Researchers
Researcher Name (Arabic)
Researcher Name (English)
Researcher Type
Dr Grade
Email
غادة علي باسندوه
Basendwah, Ghada Ali
Researcher
Master
Files
File Name
Type
Description
27038.pdf
pdf
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