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Document Type |
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Thesis |
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Document Title |
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SOME FIXED POINT THEOREMS ON GENERALIZED DISTANCE SPACES بعض نظريات النقطة الثابتة على فراغات مسافية معممة |
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Subject |
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Faculty of Sciences > mathematics department |
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Document Language |
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Arabic |
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Abstract |
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In this thesis we prove the existence of fixed point for special types of mappings on some complete distance spaces. As It is known that some real world problems have distance properties different from the standard metric properties and due to the wide use of fixed point results to treat real world problems the researches that deal with fixed point results on general distance spaces become important.
In the provided results, we investigate the existence of fixed point for triangular α-orbital admissible mappings in the setting of quasi-partial metric space. Moreover, we introduce a new kind of Geraghty type contractive mappings and prove the existence and uniqueness of fixed point for these mappings under some conditions in the context of b-metric like
space. Also, we introduce a new distance space which is called the quasi JS-metric space and derive some fixed point results on it. The virtue of the quasi JS-matric space is that it covers many existence distance spaces such as quasi metric space, quasi-b-metric spaces and quasi-modular spaces. So it provides an interesting way to combine distinct fixed point results.
The outcome of this thesis is written in three published papers their details
are as follows:
• α-(ψ, φ) contractive mappings on quasi-partial metric spaces (2015) by E.
Karapınar, L. Gholizadeh, H.H. Alsulami and M. Noorwali, Fixed point theory
and applications, vol. 2015: 105.
• Some extensions for Geragthy type contractive mappings (2015) by E.
Karapınar, H. Alsulami and M. Noorwali, Journal of inequalities and applications,
vol. 2015: 303.
• Some extensions of fixed point results over quasi-JS-spaces (2016) by M. Noorwali,
H. Alsulami and E. Karapınar, Journal of fun |
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Supervisor |
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Dr. Hamed Alsulami |
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Thesis Type |
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Doctorate Thesis |
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Publishing Year |
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1437 AH
2016 AD |
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Co-Supervisor |
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Dr. Erdal Karapınar |
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Added Date |
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Wednesday, June 1, 2016 |
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Researchers
| مها إسحاق نورولي | Noorwali, Maha Eshaq | Researcher | Master | |
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