tailieunhanh - Báo cáo hóa học: " Erratum Erratum to “Some Fixed Point Theorems of Integral Type Contraction in Cone Metric Space” Farshid Khojasteh,1 Zahra Goodarzi,2 and Abdolrahman Razani2, 3"

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 Erratum to “Some Fixed Point Theorems of Integral Type Contraction in Cone Metric Space” Farshid Khojasteh,1 Zahra Goodarzi,2 and Abdolrahman Razani2, 3 | Hindawi Publishing Corporation Fixed Point Theory and Applications Volume 2011 Article ID 346059 2 pages doi 2011 346059 Erratum Erratum to Some Fixed Point Theorems of Integral Type Contraction in Cone Metric Space Farshid Khojasteh 1 Zahra Goodarzi 2 and Abdolrahman Razani2 3 1 Department of Mathematics Science and Research Branch Islamic Azad University Tehran 14778 Iran 2 Department of Mathematics Faculty of Science Imam Khomeini International University Qazvin 34149-16818 Iran 3 School of Mathematics Institute for Research in Fundamental Sciences . Box 19395-5746 Tehran Iran Correspondence should be addressed to Farshid Khojasteh tF_khojasteh@ Received 20 December 2010 Accepted 5 January 2011 Copyright 2011 Farshid Khojasteh et al. 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. We regret making following mistake in the above-mentioned paper 1 We would like to correct it and explain some notations 1 In 1 we introduced a new concept of integral type contraction in cone metric spaces and generalized Brancieri and Meir-Keeler theorems in such spaces 1 Theorem 2 9 is an extension of Brancieri s theorem and 1 Theorem 3 2 is an extension of Brancieri and Meir-Keeler s results We asserted the following in 1 Theorem 2 9 i Let X d be a complete cone metric space and P be a normal cone Suppose Ộ P P is a non-vanishing map and a sub-additive cone integrable on each a b c P such that for each e 0 Ị0 Ộ dp 0 If f X X is a map such that for all x y e X d f x fty cd x y 0 p 0 p 1 for some a e 0 1 then f has a unique fixed point in X Also we asserted in 1 Theorem 3 2 the following ii Let X d be a complete regular cone metric space and f be a mapping on X Assume that there exists a function 0 from P into itself satisfying the following B1 0 0 0 and 0 1 0 for all t 0 2 Fixed Point Theory and .