Related papers: Cyclic contractions and best proximity pair theore…
The paper has been withdrawn by the author due to a gap in Proof of Theorem 1.1.
This paper has been withdrawn due to a crucial theoretical and experimental error.
This paper has been withdrawn by the author due to an error in section 7. There is a new version: arXiv:1011.3352.
This paper has been withdrawn by the author(s), due an error in the proof.
The paper has been withdrawn by change of content and some errors in the examples.
This paper has been withdrawn by the author due to a crucial sign error in equation 1
This paper has been withdrawn by the author, due a crucial error in Eq. 6.
This paper has been withdrawn by the author due to a crucial sign error in equation which we use from Ref. 7 that is incorrect. In particular, Eq.(1-8) is not the correct equation from the variation of N. See, for example, Eq.(6) in PRD93,…
This paper has been withdrawn by the authors pending corrections.
This paper has been withdrawn by the authors due to a crucial error.
%auto-ignore This paper has been withdrawn by the author(s) because somebody do not agree with my idea.
This paper has been withdrawn by the author.
This paper has been withdrawn by the author due to unspecified problems.
This paper has been withdrawn due to a sign error in the equation for F_11 which invalidates many results.
This paper has been withdrawn by the authors due to the crucial wrong assumption following Eq. 9.
This paper has been withdrawn at the author's request.
The paper has been withdrawn by the author.
This paper has been withdrawn by the author, due an error in claim 1.
This paper has been withdrawn by the author because the conclusions reached in it are incorrect.
This paper has been withdrawn by the authors