# Partial quasi-metric completeness via Kannan-type fixed points

## TL;DR

This paper extends Kannan's fixed point theorem to partial quasi-metric spaces and uses these results to characterize a specific form of completeness, supported by an illustrative example.

## Contribution

It introduces partial quasi-metric versions of Kannan's fixed point theorem and applies them to characterize a type of completeness in these spaces.

## Key findings

- Established fixed point theorems for self-mappings in partial quasi-metric spaces.
- Characterized a specific type of completeness using fixed point results.
- Provided an example supporting the theoretical findings.

## 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.