%0 Journal Article %T On asymptotic cyclic contractions %A Bo£¿ena Pi£¿tek %J Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica %D 2010 %I Krak¨®w : Wydawnictwo Naukowe Uniwersytetu Pedagogicznego %X We introduce asymptotic cyclic contractions as a generalization of cyclic contractions and this new type of mappings is considered under the recently introduced property UC for pairs of subsets of metric spaces. We show that there can be more than one best proximity point. %U http://studmath.up.krakow.pl/index.php/studmath/article/view/99