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- W2087479912 abstract "Abstract In this paper, we consider 2-isometries, 2-continuous mappings and mappings preserving equality of 2-distance and investigate the relation between the three mappings in linear 2-normed spaces. We prove that if f: E → F is a mapping preserving equality of 2-distance with its gauge function injective, f is 2-continuous and the range of f contains a segment, then f is affine. Moreover, when dimensionE < 2, the condition that f is 2-continuous could be eliminated." @default.
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- W2087479912 date "2010-03-01" @default.
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- W2087479912 title "On the Mappings Preserving Equality of 2-Distance" @default.
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- W2087479912 doi "https://doi.org/10.2989/16073601003718230" @default.
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