Bipolar metric spaces and some fixed point theorems

Volume 9, Issue 9, pp 5362--5373 http://dx.doi.org/10.22436/jnsa.009.09.05

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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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Keywords

• Fixed point
• completeness
• contraction
• metric space
• bipolar metric space.

MSC

•  54E50
•  54H25

References

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