The invention relates to arylcycloalkyl-substituted derivatives and to their physiologically acceptable salts and physiologically functional derivatives.What is described are compounds of the formula I, ##STR00001## in which the radicals are as defined, and their physiologically acceptable salts and processes for their preparation. The compounds are suitable for the treatment and/or prevention of disorders of fatty acid metabolism and glucose utilization disorders as well as of disorders in which insulin resistence is involved.