1. A Galois connection between distance functions and inequality relations Creator: Száz, Árpád Format: bez média and svazek Type: model:article and TEXT Subject: distance functions and inequality relations, closure operators and Galois connections, Lipschitz and monotone functions, and fixed points Language: English Description: Following the ideas of R. DeMarr, we establish a Galois connection between distance functions on a set S and inequality relations on Xs = S × R. Moreover, we also investigate a relationship between the functions of S and Xs. Rights: http://creativecommons.org/publicdomain/mark/1.0/ and policy:public