α, β, γ ORTHOGONALITY

Orthogonality in inner product spaces can be expresed using the notion of norms. So many generalization of the concept of orthogonality was made in the context of Banach spaces. In this paper we introduce a new orthogonality relation in normed linear spaces, called Alpha, Beta, Teta orthogonality wich generalised most of the known orthogonality. It is shown that Alpha, Beta, Teta orthogonality is homogeneus if and only if the space is a real inner product space.