Copyright © 2010 Xiaolong Qin et al. This is an open access article distributed under the
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A new nonlinear mapping is introduced. The convergence of Ishikawa iterative
processes for the class of asymptotically pseudocontractive mappings in the intermediate sense is studied.
Weak convergence theorems are established. A strong convergence theorem is also established without
any compact assumption by considering the so-called hybrid projection methods.