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Strong Convergence Theorems for the Generalized Split Common Fixed Point Problem

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  • Cuijie Zhang

Abstract

We introduce the generalized split common fixed point problem (GSCFPP) and show that the GSCFPP for nonexpansive operators is equivalent to the common fixed point problem. Moreover, we introduce a new iterative algorithm for finding a solution of the GSCFPP and obtain some strong convergence theorems under suitable assumptions.

Suggested Citation

  • Cuijie Zhang, 2012. "Strong Convergence Theorems for the Generalized Split Common Fixed Point Problem," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnljam:v:2012:y:2012:i:1:n:575014
    DOI: 10.1155/2012/575014
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    References listed on IDEAS

    as
    1. Yonghong Yao & Wu Jigang & Yeong-Cheng Liou, 2012. "Regularized Methods for the Split Feasibility Problem," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    2. Yonghong Yao & Wu Jigang & Yeong-Cheng Liou, 2012. "Regularized Methods for the Split Feasibility Problem," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-13, February.
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