Document Details

Document Type : Thesis 
Document Title :
GENELIZED CONTRACTIONS IN PARTIALLY ORDERED METRIC SPACES AND APPLICATIONS
تعميم الانقباضات في الفراغ المتري الجزئي وتطبيقاته
 
Subject : Faculty of Sciences > mathematics department 
Document Language : Arabic 
Abstract : A study on the existence of a fixed point for contraction maps in partially ordered metric spaces (p.o.m.s) has been initiated recently by Ran and Reurings. They proved an analogue of the Banach contraction principle. Since then a number of results appeared on the existence of fixed points for contraction type maps in p.o.m.s. On the other hand, most recently Wardowski introduced a notion of single valued F-contraction maps and generalized the Banach contraction principle for such maps. In this thesis, first we study some known fixed point results for single valued contraction type maps in p.o.m.s. Then, we prove some new general results on the existence of fixed points for multivalued contraction type maps in p.o.m.s. Further we study Wardowski's fixed point result in p.o.m.s and then present its multivalued version in p.o.m.s. Our new results improve and generalize the corresponding known results the literature. 
Supervisor : Prof. Dr. Abdul Latif Noor Muhammad 
Thesis Type : Master Thesis 
Publishing Year : 1435 AH
2014 AD 
Co-Supervisor : Dr. Saud Mastor Al-Sulami 
Added Date : Sunday, July 20, 2014 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
غادة شديد البلاديAL-BILADI, GADAH SHADIDResearcherMaster 

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