Soft quasilinear operators in soft normed quasilinear spaces

Article type: Research Article

Authors: Onat Bulak, Fatma | Bozkurt, Hacer^{; *}

Affiliations: Department of Mathematics, Batman University, Batman, Turkey

Correspondence: [*] Corresponding author. Hacer Bozkurt, Department of Mathematics, Batman University, 72100, Batman, Turkey. E-mail: hacer.bozkurt@batman.edu.tr.

Abstract: In this study, we define soft quasilinear functionals on soft normed quasilinear spaces and we examine some of its qualities. By using the soft quasilinear operator defined in [6] we specify and prove some theorem related to the continuity and boundedness of soft quasilinear operators and functionals. Furthermore, we give some examples in favor of the soft quasilinear functionals.

Keywords: Soft set, soft quasilinear space, soft normed quasilinear space, soft quasilinear operator, soft quasilinear functional

DOI: 10.3233/JIFS-230035

Journal: Journal of Intelligent & Fuzzy Systems, vol. 45, no. 3, pp. 4847-4856, 2023