Soft quasilinear inner product spaces

Abstract

In this paper, we introduced the notion of soft quaslinear inner product space which is a generalization of the quasilinear inner product spaces and this recent concept gave us the opportunity to work with an approach similar to linear functional analysis. We studied on completeness of soft quasilinear inner product space and we described the concept of the soft Hilbert quasilinear space. Finally, we presented some examples and theorems related to orthogonality and orthonormality in soft quasilinear inner product spaces.