4.6 Article

Strong convergence theorems for a family of quasi-asymptotic pseudo-contractions in Hilbert spaces

Journal

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Volume 70, Issue 11, Pages 4047-4052

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.na.2008.08.013

Keywords

A family of quasi-asymptotic pseudo-contractions; Uniformly L-Lipschitzian mapping; Iterative algorithm; Strong convergence theorem

Funding

  1. National Natural Science Foundation of China [10771050]

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In the present paper, we propose two kinds of new algorithms for a family of quasi-asymptotic pseudo-contractions in real Hilbert spaces. By using the proposed algorithms, we prove several strong convergence theorems for a family of quasi-asymptotic pseudo-contractions. The results of this paper are interesting extensions of those known results. (C) 2008 Elsevier Ltd. All rights reserved.

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