(<i>α</i> − <i>ψ</i>) Meir–Keeler Contractions in Bipolar Metric Spaces

Abstract

In this paper, we introduce the new notion of contravariant (α−ψ) Meir–Keeler contractive mappings by defining α-orbital admissible mappings and covariant Meir–Keeler contraction in bipolar metric spaces. We prove fixed point theorems for these contractions and also provide some corollaries of main results. An example is also be given in support of our main result. In the end, we also solve an integral equation using our result.

Keywords

• fixed point
• (<i>α</i> − <i>ψ</i>) Meir–Keeler contractive mappings
• covariant and contravariant mappings
• bipolar metric space