On Soft Normed Quasilinear Spaces

Fatma Bulak; Hacer Bozkurt

doi:10.53570/jnt.1234191

EN

On Soft Normed Quasilinear Spaces

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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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Fatma Bulak This is me
0000-0003-1060-947X
Türkiye

Hacer Bozkurt ^*
0000-0002-2216-2516
Türkiye

Publication Date

June 30, 2023

Submission Date

January 14, 2023

Acceptance Date

May 25, 2023

Published in Issue

Year 2023 Number: 43

DOI

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

IZ

https://izlik.org/JA94JM64TE

APA

Bulak, F., & Bozkurt, H. (2023). On Soft Normed Quasilinear Spaces. Journal of New Theory, 43, 11-22. https://doi.org/10.53570/jnt.1234191

AMA

1.Bulak F, Bozkurt H. On Soft Normed Quasilinear Spaces. JNT. 2023;(43):11-22. doi:10.53570/jnt.1234191

Chicago

Bulak, Fatma, and Hacer Bozkurt. 2023. “On Soft Normed Quasilinear Spaces”. Journal of New Theory, nos. 43: 11-22. https://doi.org/10.53570/jnt.1234191.

EndNote

Bulak F, Bozkurt H (June 1, 2023) On Soft Normed Quasilinear Spaces. Journal of New Theory 43 11–22.

IEEE

[1]F. Bulak and H. Bozkurt, “On Soft Normed Quasilinear Spaces”, JNT, no. 43, pp. 11–22, June 2023, doi: 10.53570/jnt.1234191.

ISNAD

Bulak, Fatma - Bozkurt, Hacer. “On Soft Normed Quasilinear Spaces”. Journal of New Theory. 43 (June 1, 2023): 11-22. https://doi.org/10.53570/jnt.1234191.

JAMA

1.Bulak F, Bozkurt H. On Soft Normed Quasilinear Spaces. JNT. 2023;:11–22.

MLA

Bulak, Fatma, and Hacer Bozkurt. “On Soft Normed Quasilinear Spaces”. Journal of New Theory, no. 43, June 2023, pp. 11-22, doi:10.53570/jnt.1234191.

Vancouver

1.Fatma Bulak, Hacer Bozkurt. On Soft Normed Quasilinear Spaces. JNT. 2023 Jun. 1;(43):11-22. doi:10.53570/jnt.1234191