most citedNew geometric constants of isosceles orthogonal type

1 citations · 1 across the 8 of their papers we have counts for

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8 papers

math.FA2022

New Geometric Constant Related to the P-angle Function in Banach Spaces

Zhijian Yang, Yongjin Li

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.…

math.FA2022

On the stability of orthogonally Jensen additive and quadratic functional equation

Linlin Fu, Qi Liu, Yongjin Li

We consider the stability of the orthogonal Jensen additive and quadratic equations in -spaces, through applying and extending the approach to the proof of a 2010 result of W.Fr…

math.FA2022

Ulam stability of an additive-quadratic functional equation in F-space and quasi-Banach spaces

Linlin Fu, Qi Liu, Yongjin Li

By adopting the direct method and fixed point method, we prove that the Hyers-Ulam stability of the following additive-quadratic functional equation \begin{equation} f(x+y, z+w)+f(…

math.FA2022

On the stability of orthogonal additivity in -homogeneous -spaces and quasi-Banach spaces

Qi Liu, Linlin Fu, Yongjin Li

In this paper, we study the stability of the orthogonal equation,which is closely related to the results by Wlodzimierz Fechner and Justyna Sikorska in 2010. There are some differe…

math.FA2021

Inscribed triangles in the unit sphere and a new class of geometric constants

Bingren Chen, Qi Liu, Yongjin Li

We will introduce a new geometric constant GL(X) based on the constant H(X) proposed by Gao. We first further survey the constant H(X) and discuss some of the properties of this co…

math.FA2021★ 1 cited

New geometric constants of isosceles orthogonal type

Qi Liu, Zhijian Yang, Yongjin Li

Based on the parallelogram law and isosceles orthogonality, we define a new orthogonal geometric constant. We first discuss some basic properties of this new constant. Next, we con…

math.FA2021

Novel constants based on the generalization of Von Neumann-Jordan constant

Yuxin Wang, Qi Liu, Qian Li +4

We introduce a new geometric constant based on a generalization of the parallelogram law, and study its properties as well as some relationships with other well-known geometric con…

math.FA2021

Solving system of Urysohn type integral equation via bicomplex partial b-metric space

Gunaseelan Mani, Arul Joseph Gnanaprakasam, Yongjin Li +1

In this paper, we introduce the notion of bicomplex partial b-metric space and prove some common fixed point theorems. Our results generalize and expand some of the literature's we…