Related papers: Cyclic contractions and best proximity pair theore…
The paper has been withdrawn
This paper has been withdrawn due to disagreement of suggested results and methods between authors.
This paper has been withdrawn by the author(s), due a crucial error in Eqn. 30.
This paper has been withdrawn by the author due a few mistakes in the paper.
This paper has been withdrawn by the author due to an error in the last paragraph of step 2 of the main proof, on page 6.
This paper has been withdrawn by the author(s), due to a crucial error in eq. 6.
This paper has been withdrawn by the author due to a error in attachment of source file.
This paper has been withdrawn by the author due to a crucial sign error in equation (5).
This paper has been withdrawn by the authors due to a likely hole in the proof.
This paper was withdrawn by the authors.
This paper has been withdrawn by the author because Lemma 3 is incorrect. This mistake is crucial in this paper.
This paper has been withdrawn by the author due to a crucial error in last part of proof.
This paper has been withdrawn by the author due to imprecisions which must conduce to wrong results.
This paper has been withdrawn by the authors, due to a crucial error in beta functions.
This paper was withdrawn by the authors. The mistake in math.AG/0209223 affects also this paper.
This paper has been withdrawn due to its publication
This paper has been withdrawn by the author due to a errors in figure 3,4
This paper has been withdrawn by the authors, due a crucial error in Sec. 3.
This paper has been withdrawn by the authors, due to a flaw in the proof of Theorem 1. This preprint is superseded by quant-ph/0610027, where a correct proof can be found. Thanks to Rainer Siegmund-Schultze for spotting the error.
This paper has been withdrawn by the author due to an error in the proof of Theorem 6.