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

José Manuel Sánchez-Álvarez

doi:10.4995/agt.2005.1956

Authors

José Manuel Sánchez-Álvarez Universitat Politècnica de València

DOI:

https://doi.org/10.4995/agt.2005.1956

Keywords:

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

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.

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Author Biography

José Manuel Sánchez-Álvarez, Universitat Politècnica de València

Departamento de Matemática Aplicada

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