Fixed point results in C*-algebra-valued bipolar metric spaces with an application

Abstract

In this work, we prove existence and uniqueness fixed point theorems under Banach and Kannan type contractions on C⋆-algebra-valued bipolar metric spaces. To strengthen our main results, an appropriate example and an effective application are presented. for some element ℵ ∈ H, is called Lipschitz continuous. If ℵ = 1, then this covariant or contravariant map is said to be non-expansive, and if ℵ ∈ H with ||ℵ||2 < 1, it is called a contraction.