On a New Geometric Constant Related to the Euler-Lagrange Type Identity in Banach Spaces
On a New Geometric Constant Related to the Euler-Lagrange Type Identity in Banach Spaces
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DOI：
10.3390/math9020116
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发表时间：
2021-01
期刊：
影响因子：
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通讯作者：
Qi Liu;Yongjin Li
中科院分区：
文献类型：
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作者：
Qi Liu;Yongjin Li
本文基于Moslehian和Rassias提出的内积空间的一个等价刻划，引入了一个新的几何常数LYJ(λ，μ，X)。我们首先讨论了所提出的常数的几种等价形式。其次，给出了一致非方的一个刻画。此外，还给出了弱正规结构的一些充分条件。最后，我们得到了其他著名的几何常数与LYJ(λ，μ，X)之间的一些关系。此外，还计算了X为混凝土空间时的新系数。
In this paper, we will introduce a new geometric constant LYJ(λ,μ,X) based on an equivalent characterization of inner product space, which was proposed by Moslehian and Rassias. We first discuss some equivalent forms of the proposed constant. Next, a characterization of uniformly non-square is given. Moreover, some sufficient conditions which imply weak normal structure are presented. Finally, we obtain some relationship between the other well-known geometric constants and LYJ(λ,μ,X). Also, this new coefficient is computed for X being concrete space.