A SUFFICIENT AND NECESSARY CONDITION FOR THE STRONG CONVERGENCE OF ASYMPTOTICALLY HEMI-PSEUDONTRACTIVE MAPPING

Yong-quan Liu, Weiping Guo · 2015

In this paper, the asymptotically hemi-pseudocontractive mapping is studied in Banach space.By using the modified Ishikawa iterative scheme with errors, some sufficient and necessary conditions on the strong convergence for approximation of fixed points of the uniformly L-Lipschitzian asymptotically hemi-pseudocontractive mapping are obtained, which extend and improve some corresponding results.

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