Some properties of generalized metric spaces and fixed point theory |
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| Author |
afora_jo@yahoo.com, albsoulaaa@hotmail.com, bellourazze123@yahoo.com
Department of Mathematics, Yarmouk University, Irbid-Jordan
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| Abstract |
In this paper we study some properties of generalized metric spaces. We shall give necessary and sufficient conditions for the generalized metric to be a metric. Also, we construct a pseudometric $\widetilde{d\ }$ from a generalized metric$\ d.$ Moreover, we generalize Kannan's fixed point theorem.
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| Keywords |
generalized metric space, pseudometric, Kannan's fixed point theorem
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| DOI |
doi:10.30970/ms.33.1.85-91
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Reference |
1. Branciari Branciari A. A fixed point theorem of Banach-Caccioppoli type on a class of generalized metric spaces// Publ. Math. Debrecen. - 2000. - V.57, № 1-2. - P.31-37.
2. Das Pratulananda Das. A fixed point theorem on a class of generalized metric spaces// Korean J. Math. Sciences. - V.9, № 1. - P.29-33. |
| Pages |
85-91
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| Volume |
33
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| Issue |
1
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| Year |
2010
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| Journal |
Matematychni Studii
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| Full text of paper | |
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