Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Erratum Mann Iteration Converges Faster than Ishikawa Iteration for the Class of Zamfirescu Operators | Hindawi Publishing Corporation Fixed Point Theory and Applications Volume 2007 Article ID 97986 2 pages doi 2007 97986 Erratum Mann Iteration Converges Faster than Ishikawa Iteration for the Class of Zamfirescu Operators G. V. R. Babu and K. N. V. V. Vara Prasad Received 24 July 2006 Revised 21 September 2006 Accepted 23 October 2006 The aim of this erratum is to make necessary corrections in the proof of Theorem of Babu and Prasad 2006 . Copyright 2007 G. V. R. Babu and K. N. V. V. Vara Prasad. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited. The paper by Babu and Prasad 1 contains some mistakes in the proof of Theorem . In this erratum we make the necessary corrections. We follow the same notation as in 1 . In the statement of Theorem we assume that x0 y0 e K. Beginning with and applying the technique as in the proof of Theorem in 1 we can show that xn 1 - p an x0 - p 1 where an nn 0 1 - ak 1 - 5 n 0 1 2 . and also we can show that IIyn 1-p Mly0-p 2 where bn nn 0 1 - ak 1 - 5 2 n 0 1 2 . We observe that I1 -ak 1 -2 1 - ak8 1 - 5 k 0 1 2 . 3 1 - ak 1 - 5 2 2 Fixed Point Theory and Applications so that a H 1 - kd 1 - d n 0 1 2 . 4 bn k 0 Thus limn .TO an bn 0. Note that an . 0 and bn . 0 as n . TO. Acknowledgments The authors are grateful to Professor Xue Zhiqun for bringing out to the notice of the mistakes in the paper. This work is partially supported by U. G. C. Major Research Project Grant no. F. 8-8 2003 SR . One of the authors G. V. R. Babu thanks the University Grants Commission India for the financial support. References 1 G. V. R. Babu and K. N. V. V. Vara Prasad Mann iteration converges faster than Ishikawa iteration for the class of Zamfirescu operators Fixed Point Theory and Applications vol. 2006 Article ID 49615 6 pages 2006. G. V. R. Babu Department of Mathematics
