- Open Access
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.
- Point Theorem
- Initial Point
- Differential Geometry
- Fixed Point Theorem
- Point Theory
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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