Abstract: The spatial geometric constant is thequantification of the geometrical properties of space From the study ofgeometric properties to the calculation of geometric constants from qualitativeto quantitative advancement Firstly

this paper introduces a new geometricconstant Uconvex coefficient Studying its relationship with geometricproperties such as uniform nonsquare and regular structures and by studying itsrelationship with constants

the Banach space is weakly close to uniform smoothand has fixed point properties Secondly

Using the relationship between it andweak orthogonal coefficients gives a sufficient condition for Banach spaces tohave a regular structure Finally

the calculation of the convex model in thesequence space is given