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2016•Journal of Mathematical and Computational ScienceRequires access

The Aleksandrov Problem in quasi convex 2-normed linear spaces

Xinkun Wang, Meimei Song

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Abstract

In this paper, we prove that the Aleksandrov problem holds without the condition 2-Lipschitz mapping in quasi convex 2-normed linear spaces. Moreover, we show that the Mazur-Ulam theorem holds in quasi convex 2-normed linear spaces.

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What this paper is about

In this paper, we prove that the Aleksandrov problem holds without the condition 2-Lipschitz mapping in quasi convex 2-normed linear spaces. Moreover, we show that the Mazur-Ulam theorem holds in quasi convex 2-normed linear spaces.

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Available abstract

In this paper, we prove that the Aleksandrov problem holds without the condition 2-Lipschitz mapping in quasi convex 2-normed linear spaces. Moreover, we show that the Mazur-Ulam theorem holds in quasi convex 2-normed linear spaces.

Key concepts: Mathematics, Lipschitz continuity, Regular polygon, Normed vector space, Pure mathematics, Strictly convex space, Convex analysis, Combinatorics

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