Some Common Fixed Point Theorems in Bipolar Metric Spaces

Abstract

In this article, we introduce the notion of commutativity for covariant and contravariant mappings in bipolar metric spaces. Afterwards, by using this notion, we prove some common fixed point theorems which show the existence and uniqueness of common fixed point for covariant and contravariant mappings satisfying contractive type conditions.

Keywords

• Bipolar metric space
• common fixed points
• commuting mappings

References

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