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MATHEMATICA BOHEMICA, Vol. 127, No. 3, pp. 437-448 (2002)
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# A Galois connection between distance functions and inequality relations

## Arpad Szaz

* Arpad Szaz*, Institute of Mathematics and Informatics, University of Debrecen, H-4010 Debrecen, Pf. 12, Hungary, e-mail: ` szaz@math.klte.hu`

**Abstract:**
Following the ideas of R. DeMarr, we establish a Galois connection between distance functions on a set $S$ and inequality relations on $X_{S}=S \times \Bbb R$. Moreover, we also investigate a relationship between the functions of $S$ and $X_{S}$. \endabstract

**Keywords:** distance functions and inequality relations, closure operators and Galois connections, Lipschitz and monotone functions, fixed points

**Classification (MSC2000):** 54E25, 06A06, 47H10, 06A15

**Full text of the article:**

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