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Faculty of Sciences
Document Details
Document Type
:
Thesis
Document Title
:
MULTIVALUED CONTRACTION TYPE MAPS AND COINCIDENCE POINTS
تطبيقات من النوع التقلصي متعدد القيم ونقاط التطابق
Subject
:
Mathematics
Document Language
:
Arabic
Abstract
:
In the setting of metric spaces, Nadler introduced a notion of multivalued contraction maps and obtained a multivalued version of the Banach Contraction Principle, which occupies a central position in fixed point theory. Bae studied the existence of fixed points for multivalued weakly contractive maps in the setting of metric and Banach spaces. We prove some results on the existence of coincidence points for multivalued f-weakly contractive nonself maps, which generalize and improve the corresponding results due to Bae, Latif and Tweddle and many others. Most recently, Feng and Liu generalized a multivalued version of the Banach contraction principle due to Nadler. We obtain coincidence points results for multivalued f-contractive selfmaps, which generalize the corresponding coincidence point result of Kaneko and the fixed point result of Feng and Liu. Moreover, in the setting of Banach spaces, we obtain a general coincidence point result for R-weakly commuting maps
Supervisor
:
Dr. AbdulLatif Noor Muhammad
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
عبدالله عقال المزروعي
Al-Mazrui, Abdullah Egal
Researcher
Master
Files
File Name
Type
Description
23713.pdf
pdf
Abstract
23714.pdf
pdf
المستخلص
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