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 TypeDr GradeEmail
آلاء عبدالوهاب أبوحجرAbo Hajar, Alaa Abdel WahabResearcherMaster 

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