Sequential bipolar metric space and well-posedness of fixed point problems

Document Type : Research Paper


Department of Mathematics, The University of Burdwan, Purba Bardhaman-713104, West Bengal, India


In this paper, we introduce the concept of sequential bipolar metric spaces which is a generalization of bipolar metric spaces and bipolar b−metric spaces and in view of this concept we prove some fixed point theorems for a class of covariant and contravariant contractive mappings over such spaces. Supporting example have been cited in order to validity of the underlying space. Moreover, our fixed point results are applied to well-posedness of fixed point problems.