On semi-Lipschitz functions with values in a quasi-normed linear space

José Manuel Sánchez-Álvarez

Abstract

In a recent paper, S. Romaguera and M. Sanchis discussed several properties of semi-Lipschitz real valued functions. In this paper we analyze the structure of the space of semi-Lipschitz functions that are valued in a quasi-normed linear space. Our approach is motivated, in part, by the fact that this structure can be applied to study some processes in the theory of complexity spaces.


Keywords

Semi-Lipschitz function; Normed cone; Bicomplete space; Quasi-distance; right K-complete.

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References

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Costică Mustăţa
Mediterranean Journal of Mathematics  vol: 6  issue: 2  first page: 169  year: 2009  
doi: 10.1007/s00009-009-0003-x



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