On Soft Normed Quasilinear Spaces

Year 2023, Issue: 43, 11 - 22, 30.06.2023

Fatma Bulak Hacer Bozkurt

https://doi.org/10.53570/jnt.1234191

Abstract

In this study, we investigate some properties of soft quasi-sequences and present new results. We then study the completeness of soft normed quasilinear space and present an analog of convergence and boundness results of soft quasi sequences in soft normed quasilinear spaces. Moreover, we define regular and singular subspaces of soft quasilinear spaces and draw several conclusions related to these notions. Afterward, we provide examples of these results in soft normed quasilinear spaces generalizing well-known results in soft linear normed spaces. Additionally, we offer new results concerning soft quasi subspaces of soft normed quasilinear spaces. Finally, we discuss the need for further research.

Keywords

Soft set, soft quasilinear space, soft normed quasilinear space, soft quasi vector, convergence

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