, 2012:206,
Open Access This content is freely available online to anyone, anywhere at any time.
Date: 19 Sep 2012

Nonlinear conditions for the existence of best proximity points


In this paper, we first introduce the new notion of -cyclic contraction and establish some new existence and convergence theorems of iterates of best proximity points for -cyclic contractions. Some nontrivial examples illustrating our results are also given.

MSC: 41A17, 47H09.