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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 Type
Dr Grade
Email
غادة شديد البلادي
AL-BILADI, GADAH SHADID
Researcher
Master
Files
File Name
Type
Description
37193.pdf
pdf
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