This study investigates metric-like spaces as generalization of partial metric spaces introduced by Harandi. We examine the properties of open balls and points in these spaces, along with the behaviour of convergent sequences. Additionally, we introduce the semi(pseudo) metric-like structure by using the concept of extended t-conorms.

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Some Metric-Like Structures and  \(\oplus \) -Based Semi (Pseudo) Metric-Like

  • Şuara Onbaşıoğlu Altuhovs,
  • Banu Pazar Varol

摘要

This study investigates metric-like spaces as generalization of partial metric spaces introduced by Harandi. We examine the properties of open balls and points in these spaces, along with the behaviour of convergent sequences. Additionally, we introduce the semi(pseudo) metric-like structure by using the concept of extended t-conorms.