Partial quasi-metric completeness via Kannan-type fixed points

2019/02/08 by Yaé Ulrich Gaba, Gaba, Yaé Ulrich
Mathematics · Physics and Astronomy · #Fixed Point Theorems Analysis #Advanced Differential Geometry Research

paper · pdf · doi:10.48550/arxiv.1902.03114

Abstract

In this short note, we obtain partial quasi-metric versions of Kannan's fixed point theorem for self-mappings. Moreover, we use these fixed points results to characterize a certain type of completeness in partial quasi-metric spaces. We have reported an example to support our result.

Related

• Kannan Fixed-Point Theorem On Complete Metric Spaces And On Generalized Metric Spaces Depended an Another Function
• A Fixed Point Theorem for Kannan-type Maps in Metric Spaces
• Fixed point on partial metric type spaces
• Quasi-uniform type spaces
• A fixed point theorem for contractive mappings that characterizes metric completeness