Ϝ-Contraction of Hardy–Rogers type in supermetric spaces with applications

Abstract

Abstract This article focuses on studying some fixed-point results via Ϝ-contraction of Hardy–Rogers type in the context of supermetric space and ordered supermetric space. We also introduced rational-type z-contraction on supermetric space. For authenticity, some illustrative examples and applications have been included.

Keywords

• F-contraction
• Fixed point
• Supermetric space
• Hardy–Rogers type
• Integral contraction
• Ordered supermetric space