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Öğe Some new results on inner product quasilinear spaces(Taylor & Francis, 2016-06-28) Bozkurt, Hacer; Yılmaz, YılmazIn this article, we research on the properties of the floor of an element taken from an inner product quasilinear space. We prove some theorems related to this new concept. Further, we try to explore some new results in quasilinear functional analysis. Also, some examples have been given which provide an important information about the properties of floor of an inner product quasilinear space.Öğe Biquasilinear functionals on quasilinear spaces and some related results(Erzincan Üniversitesi, 2020-03-20) Bozkurt, Hacer; Yılmaz, YılmazIn this paper, we will present the notion of the biquasilinear functional which is a new concept of quasilinear functional analysis. Just like bilinear functional, the notions of a biquasilinear functional and a quadratic form will not need to have the constitution of an inner product quasilinear space. We were able to define these functionals in any quasilinear space. After giving this new notion, we discuss some examples and prove some theorems for considerable exercises to the theory of biquasilinear functionals in Hilbert quasilinear spacesÖğe Some new properties of inner product quasilinear spaces(University of Prishtina, 2016-03) Bozkurt, Hacer; Yılmaz, YılmazIn the present paper, we introduce over symmetric set on a inner product quasilinear spaces. We establish some new results related to this new concept. Further, we obtain new conclusions for orthogonal and orthonormal subspaces of inner product quasilinear spaces. These results generalize recent well known results in the linear inner product spaces. Also, some examples have been given which provide an important contribution to understand the structure of inner product quasilinear spaces.
