On soft quasi-pseudometric spaces
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Date
2021
Authors
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.
Description
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