On weak partial-quasi k-metric spaces

TLDR

The concept of weak partial-quasi k-metrics is introduced, which generalizes both k- Metric and weak metric and obtains some fixed point theorems in weak Partial Quasi K-metric spaces.

Abstract

In this paper, we introduce the concept of weak partial-quasi k-metrics, which generalizes both k-metric and weak metric. Also, we present some examples to support our results. Furthermore, we obtain some fixed point theorems in weak partial-quasi k-metric spaces.