Weak and Strong Convergence of an Algorithm for the Split Common Fixed-Point of Asymptotically Quasi-Nonexpansive Operators

Dang, Yazheng<sup>*</sup>; Gao, Yan

doi:10.1155/2013/638468

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Weak and Strong Convergence of an Algorithm for the Split Common Fixed-Point of Asymptotically Quasi-Nonexpansive Operators

作者：Dang, Yazheng^*; Gao, Yan

来源：Mathematical Problems in Engineering, 2013, 2013: 638468.

DOI：10.1155/2013/638468

摘要

Inspired by the Moudafi (2010), we propose an algorithm for solving the split common fixed-point problem for a wide class of asymptotically quasi-nonexpansive operators and the weak and strong convergence of the algorithm are shown under some suitable conditions in Hilbert spaces. The algorithm and its convergence results improve and develop previous results for split feasibility problems.