  In this paper, combined with the P-angle function of Banach spaces and the
geometric constants that can characterize Hilbert spaces, the new angular
geometric constant is defined. Firstly, this paper explores the basic
properties of the new constant and obtains some inequalities with significant
geometric constants. Then according to the derived inequalities, this paper
studies the relationship between the new constant and the geometric properties
of Banach spaces. Furthermore, the necessary and sufficient condition for
uniform non-squareness, and the sufficient conditions for uniform convexity,
the normal structure and the fixed point property will be established.
