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Document Details
Document Type
:
Thesis
Document Title
:
Fixed Points For nonexp Ansive Maps In Locally Convex Spaces
النقاط الثابتة للتطبيقات غير التمددية في الفضاء المحدب محلياً
Subject
:
Mathematics
Document Language
:
Arabic
Abstract
:
In the setting of metric spaces, Caristi obtained a useful fixed point theorem which extends the well-known Banach Contraction Principle. While, Cain and Nashed extended this classical principle to Hausdorff locally convex spaces. Recently, Cammaroto et al. extended Caristis theorem to the setting of Hausdorff locally convex spaces. In this thesis, we study some known fixed point results for P–contraction and P–nonexpansive self and non-self maps. In particular, we prove some results on the existence of fixed points for singlevalued P–nonexpansive maps, generalizing the corresponding fixed point results of Taylor, Anderson et al. and Su and Sehgal. Moreover, we present some results on best approximation due to Sahney et al. and Singh. Also, we study the existence of fixed points for multivalued P–contraction and P–nonexpansive self and non-self maps due to Su and Sehgal and many others. Finally, applying the Caristis theorem for Hausdorff locally convex spaces, we prove some new results on the existence of fixed points for compact and non-compact valued maps. These results extend the known results in the literature
Supervisor
:
Dr. Abdul Latif Noor Muhammad
Thesis Type
:
Master Thesis
Publishing Year
:
1428 AH
2007 AD
Added Date
:
Wednesday, June 11, 2008
Researchers
Researcher Name (Arabic)
Researcher Name (English)
Researcher Type
Dr Grade
Email
إحسان حسين أبو الحمائل
Abu Alhamail, Ahsan Hussein
Researcher
Master
Files
File Name
Type
Description
23698.pdf
pdf
المستخلص
23699.pdf
pdf
Abstract
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