Fixed-points of interpolative Kannan type contractions in bipolar metric spaces

Abstract

In this paper, we introduce (𝜆, 𝛼)-interpolative and (𝜆, 𝛼, 𝛽)-interpolative Kannan type contractions and establish some fixed-point theorems in bipolar metric spaces. Additionally, these theorems expand and apply a number of intriguing findings from metric fixed-point theory to the bipolar metric setting.