On soft quasi-pseudometric spaces

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Date

2021

Journal Title

Journal ISSN

Volume Title

Publisher

Elsevier

Abstract

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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Keywords

Soft-metric, Soft-quasi-pseudometric, Soft Isbell convexity, Physical science

Citation

Sabao, H., & Otafudu, O. O. (2021). On soft quasi-pseudometric spaces. Applied General Topology, 22(1), 17–30. https://doi.org/10.4995/agt.2021.13084