Master'sOpen Access

Fixed point theorems in generalized metric spaces

2019
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Advisor: Dr. Öğr. Üyesi İbrahim Karahan

Abstract (EN)

Fixed point theory is one of the most important subjects of todays developing modern mathematics. Recently, after various generalizations of the concept of metric space, fixed point theorems have been carried to generalized metric spaces. Some of these generalized metric spaces are b-metric, rectangular metric, partial metric, and b_v (s) metric space. In this thesis, partial b_v (s), partial v-generalized and b_v (θ) metric spaces which are more general than the most of the generalized metric spaces are defined. Also, fixed point theorems such as Banach, Kannan, Reich and Ciric have been expressed and proved in the considered spaces and b_v (s) metric spaces.

Author

Dr. İrfan Işık

How to Cite

İrfan Işık (Master Thesis). Fixed point theorems in generalized metric spaces, 2019, Erzurum Technical University.

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