Geodesic
A Galois connection between distance functions and inequality relations
Mathematica Bohemica, Tome 127 (2002) no. 3, pp. 437-448.

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Following the ideas of R. DeMarr, we establish a Galois connection between distance functions on a set $S$ and inequality relations on $X_{S}=S \times \mathbb{R}$. Moreover, we also investigate a relationship between the functions of $S$ and $X_{S}$.
DOI : 10.21136/MB.2002.134073
Classification : 06A06, 06A15, 47H10, 54E25, 54H25
Keywords: distance functions and inequality relations; closure operators and Galois connections; Lipschitz and monotone functions; fixed points 
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     title = {A {Galois} connection between distance functions and inequality relations},
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Száz, Árpád. A Galois connection between distance functions and inequality relations. Mathematica Bohemica, Tome 127 (2002) no. 3, pp. 437-448. doi : 10.21136/MB.2002.134073. http://geodesic.mathdoc.fr/articles/10.21136/MB.2002.134073/

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