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 TypeDr GradeEmail
عبدالله عقال المزروعيAl-Mazrui, Abdullah EgalResearcherMaster 

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 23713.pdf pdfAbstract
 23714.pdf pdfالمستخلص

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