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 TypeDr GradeEmail
غادة علي باسندوهBasendwah, Ghada AliResearcherMaster 

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