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Document Details
Document Type
:
Thesis
Document Title
:
On coincidence points for contraction maps
حول نقاط التطابق للتطبيقات التقلصية المولدة
Subject
:
Mathematics
Document Language
:
Arabic
Abstract
:
Kaneko studied the existence of coincidence points for hybrid contraction maps on metric spaces under the hypothesis that the commuting maps are continuous. We generalize this result, where the commuting maps need not be continuous, Unifying the more recent results of Hicks, and Hicks and Rhoades, we establish co- incidence and hybrid fixed point results in the setting of symmetric spaces. Our results unify and extend the corresponding results of Hicks, Nadler, Kaneko, Jungck, Hicks and Rhoades and many of others. Using a concept of f -iterative sequences, a general result on the existence of coincidence points in symmetric spaces has also been proved, extending a fixed point result of Hicks. In the setting of generalized metric spaces, we obtain various results on convergence to coincidence points for hybrid contraction maps. These results contain the corresponding results of Covitz and Nadler, Jachymski and many of others
Supervisor
:
Prof. AbdulLatif Noor Muhammad
Thesis Type
:
Master Thesis
Publishing Year
:
1422 AH
2001 AD
Co-Supervisor
:
Dr. Fatemah Matouk Kandil
Added Date
:
Wednesday, June 11, 2008
Researchers
Researcher Name (Arabic)
Researcher Name (English)
Researcher Type
Dr Grade
Email
آلاء عبدالوهاب أبوحجر
Abo Hajar, Alaa Abdel Wahab
Researcher
Master
Files
File Name
Type
Description
23671.pdf
pdf
المستخلص
23672.pdf
pdf
Abstract
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