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On the ALEKSANDROV and Triangle Isometry ULAM Stability Problems

J. M. Rassias, Shuhuang Xiang, Matina J. Rassias


This paper provides an overall account of the Aleksandrov problem and Rassias problems for mappings which preserve distances, the area of any planar convex hull of any points in [0, 1]3, or preserve the volume of any convex hull of any points in [0, 1]3, and considers the triangle isometry Ulam stability problem on bounded domains and Ulam-Gavruta-Rassias stability for additive mappings.


isometry, preserving distance, stability.

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