Bipolar metric spaces and some fixed point theorems
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Authors
Ali Mutlu
- Department of Mathematics, Celal Bayar University, 45110, Yunusemre, Manisa, Turkey.
Utku Gürdal
- Department of Mathematics, Celal Bayar University, 45110, Yunusemre, Manisa, Turkey.
Abstract
In this paper we introduce the concept of bipolar metric space as a type of partial distance. We explore
the link between metric spaces and bipolar metric spaces, especially in the context of completeness, and
prove some extensions of known fixed point theorems.
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ISRP Style
Ali Mutlu, Utku Gürdal, Bipolar metric spaces and some fixed point theorems, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 9, 5362--5373
AMA Style
Mutlu Ali, Gürdal Utku, Bipolar metric spaces and some fixed point theorems. J. Nonlinear Sci. Appl. (2016); 9(9):5362--5373
Chicago/Turabian Style
Mutlu, Ali, Gürdal, Utku. "Bipolar metric spaces and some fixed point theorems." Journal of Nonlinear Sciences and Applications, 9, no. 9 (2016): 5362--5373
Keywords
- Fixed point
- completeness
- contraction
- metric space
- bipolar metric space.
MSC
References
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