6 papers · 1 filter
The Fermat--Torricelli problem under isosceles orthogonality-type conditions
Zhiyao Fang, Qi Liu
The location problem studied by Weber \cite{Weber} leads to the Fermat--Torricelli problem of minimizing sums of distances. Benítez, Fernández and Soriano \cite{BFS} proved that a…
A Fermat--Torricelli convex-hull characterization of inner-product spaces via Birkhoff--James orthogonality
Zhiyao Fang, Junxiang Qi, Qi Liu
The classical location problem posed by Weber [Über den Standort der Industrien,Tübingen: J. C. B. Mohr, 1909] has motivated various geometric characterizations of inner-product sp…
James-type constants for Birkhoff--James orthogonality and approximate isosceles
Zhiyao Fang, Ying Xu, Qi Liu +2
We introduce two James-type constants associated with approximate isosceles and approximate Birkhoff--James orthogonality in real normed spaces. The isosceles family coincides with…
Skew-Parameterized Geometric Constants in Banach Spaces
Qing Du, Wenwen Zhang, Zhiyao Fang +1
Building on the family of geometric constants introduced by Amini-Harandi and Rahimi, we define a skew-parameterized family on real normed spaces by replacing the classical symmetr…
A generalization of the von Neumann-Jordan type constant in Banach spaces
Shuoyi Wan, Pingru Duan, Zhiyao Fang +2
In this paper,motivated by the pioneering work of Moslehian and Rassias, we introduce a novel generalized von Neumann-Jordan type constant in Banach spaces, a constant that notably…
Some inequalities and geometric constants in p-normed spaces
Zhiyao Fang, Qi Liu, Yuxin Wang +1
In this paper, we study some geometric constants in complete -normed spaces with . We introduce a new symmetric geometric constant associated with isosceles orthog…