, 2012:206,
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Date: 19 Sep 2012

Nonlinear conditions for the existence of best proximity points

Abstract

In this paper, we first introduce the new notion of http://static-content.springer.com/image/art%3A10.1186%2F1029-242X-2012-206/MediaObjects/13660_2012_307_IEq1_HTML.gif -cyclic contraction and establish some new existence and convergence theorems of iterates of best proximity points for http://static-content.springer.com/image/art%3A10.1186%2F1029-242X-2012-206/MediaObjects/13660_2012_307_IEq1_HTML.gif -cyclic contractions. Some nontrivial examples illustrating our results are also given.

MSC: 41A17, 47H09.