Complex Valued Bipolar Metric Spaces and Fixed Point Theorems

Document Type : Original Article


Department of Mathematics, Alagappa University, Karaikudi-630 003, India.


This article introduces the idea of complex valued bipolar metric space and derives some of its properties. Moreover, for complex valued bipolar metric spaces, various fixed point theorems of contravariant maps satisfying rational inequalities are proved. Additionally, the Kannan fixed point theorem and the Banach contraction principle are both generalised.


Main Subjects