A New Notion of g-Angle in Normed

We discuss the g-orthogonality (⊥ g ) and its basic properties in a normed space. We also define a new g-angle between two vectors and prove its basic properties by using the g- orthogonality (⊥ g ). Moreover, we prove the sufficient and necessary conditions for strictly convexity in a normed space by using a new g-angle.