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Correction: A fixed point theorem for cyclic generalized contractions in metric spaces. Fixed Point Theory and Applications 2012, 2012:122
© Alghamdi et al.; licensee Springer. 2013
Received: 31 January 2013
Accepted: 10 February 2013
Published: 26 February 2013
The purpose of this short note is to present some corrections and clarifications concerning the proof of the main result given in the above mentioned paper.
Concerning the text and the proof of the main result (Theorem 2.2), we would like to do the following corrections and clarifications:
(1) In Theorem 2.2, an additional hypothesis is needed, namely:
(3) On page 5, to prove that the Picard iteration converges to , we have to do as follows.
This shows that y is a fixed point of f and, thus, .
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