On soft quasi-pseudometric spaces

• Sabao, Hope ^[1] ; Otafudu, Olivier Olela ^[2]
  1. [1] University of the Witwatersrand
  2. [2] University of the Western Cape
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 22, Nº. 1, 2021, págs. 17-30
• Idioma: inglés
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• Resumen

  • In this article, we introduce the concept of a soft quasi-pseudometric space. We show that every soft quasi-pseudometric induces a compatible quasi-pseudometric on the collection of all soft points of the absolute soft set whenever the parameter set is finite. We then introduce the concept of soft Isbell convexity and show that a self non-expansive map of a soft quasi-metric space has a nonempty soft Isbell convex fixed point set.