### Abstract

Abstract Recently, Cui and Wang (2014) constructed an algorithm for demicontractive operators that converges weakly, under mild assumptions, to some solution of the split common fixed point problem. In this paper, based on Halpern's type method (1967), we construct an algorithm for demicontractive operators that produces sequences that always converge strongly to a specific solution of the split common fixed point problem. Particular cases of directed operators and quasi-nonexpansive mappings are also considered.

Original language | English |
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Article number | 21251 |

Pages (from-to) | 844-853 |

Number of pages | 10 |

Journal | Applied Mathematics and Computation |

Volume | 265 |

DOIs | |

Publication status | Published - Jun 22 2015 |

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### All Science Journal Classification (ASJC) codes

- Computational Mathematics
- Applied Mathematics