On soft quasi-pseudometric spaces





soft-metric, soft-quasi-pseudometric, soft Isbell convexity


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.


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Author Biographies

Hope Sabao, University of the Witwatersrand

School of Mathematics

Post Doc

Olivier Olela Otafudu, University of the Western Cape

Department of Mathematics and Applied Mathematics


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How to Cite

H. Sabao and O. O. Otafudu, “On soft quasi-pseudometric spaces”, Appl. Gen. Topol., vol. 22, no. 1, pp. 17–30, Apr. 2021.