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Some Geometric Constants Related to the Heights and Mid lines of Triangles in Banach Space

Yongjin Li|Zhijian Yang|Yuankang Fu|Dandan Du
경북대학교 자연과학대학 수학과|2023.03|Kyungpook Mathematical Journal|제63권 제1호|pp. 61-78|DOI 10.5666/KMJ.2022.63.1.61

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참고문헌

키워드

uniform normal structureuniform non-squarenessfixed point property
주제분류수학

초록

In this paper, we introduce two new geometric constants related to the heights of triangles: ∆H(X) and ∆h(X, I). We also propose two new geometric constants, ∆m(X) and ∆M(X), related to the midlines of equilateral triangles, and discuss the relation between the heights and midlines in equilateral triangles. We give estimates for these geometric constants in terms of other geometric parameters, and the geometric constants are used to discuss geometric properties such as uniform non-squareness, uniform normal structure, and the fixed point property.

Abstract

In this paper, we introduce two new geometric constants related to the heights of triangles: ∆H(X) and ∆h(X, I). We also propose two new geometric constants, ∆m(X) and ∆M(X), related to the midlines of equilateral triangles, and discuss the relation between the heights and midlines in equilateral triangles. We give estimates for these geometric constants in terms of other geometric parameters, and the geometric constants are used to discuss geometric properties such as uniform non-squareness, uniform normal structure, and the fixed point property.

참고문헌 (31)

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