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Hindawi Publishing Corporation Fixed Point Theory and Applications Volume 2011, Article ID 257034, 3

Hindawi Publishing Corporation Fixed Point Theory and Applications Volume 2011, Article ID 257034, 3 pages doi:10.1155/2011/257034 Letter to the Editor Comment on “A Strong Convergence of a Generalized Iterative Method for Semigroups of Nonexpansive Mappings in Hilbert Spaces” Farman Golkarmanesh1 and Saber Naseri2 1 2 Department of Mathematics, Islamic Azad University, Sanandaj Branch, P.O. Box 618, Sanandaj, Iran Department of Mathematics, University of Kurdistan, Kurdistan, Sanandaj 416, Iran Correspondence should be addressed to Saber Naseri, sabernaseri2008@gmail.com Received 23 January 2011; Accepted 3 March 2011 Copyright q 2011 F. Golkarmanesh and S. Naseri. This is an open access article distributed under the Creative Commons Attribution License,. | Hindawi Publishing Corporation Fixed Point Theory and Applications Volume 2011 Article ID 257034 3 pages doi 10.1155 2011 257034 Letter to the Editor Comment on A Strong Convergence of a Generalized Iterative Method for Semigroups of Nonexpansive Mappings in Hilbert Spaces Farman Golkarmanesh1 and Saber Naseri2 1 Department of Mathematics Islamic Azad University Sanandaj Branch P.O. Box 618 Sanandaj Iran 2 Department of Mathematics University of Kurdistan Kurdistan Sanandaj 416 Iran Correspondence should be addressed to Saber Naseri sabernaseri2008@gmail.com Received 23 January 2011 Accepted 3 March 2011 Copyright 2011 F. Golkarmanesh and S. Naseri. 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. Piri and Vaezi 2010 introduced an iterative scheme for finding a common fixed point of a semigroup of nonexpansive mappings in a Hilbert space. Here we present that their conclusions are not original and most parts of their paper are picked up from Saeidi and Naseri 2010 though it has not been cited. Let S be a semigroup and B S the Banach space of all bounded real-valued functions on S with supremum norm. For each s e S the left translation operator l s on B S is defined by l s f t f st for each t e S and f e B S . Let X be a subspace of B S containing 1 and let X be its topological dual. An element p of X is said to be a mean on X if p p 1 1. Let X be ls-invariant that is ls X c X for each s e S. A mean p on X is said to be left invariant if p lsf p f for each s e S and f e X. A net pa of means on X is said to be asymptotically left invariant if lima y.a lsf -pa f 0 for each f e X and s e S and it is said to be strongly left regular if lima l pa - paII 0 for each s e S where l is the adjoint operator of ls. Let C be a nonempty closed and convex subset of E. A mapping T C C is said to be nonexpansive if Tx - Ty