### 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

### Cite this

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*Applied Mathematics and Computation*, vol. 265, 21251, pp. 844-853. https://doi.org/10.1016/j.amc.2015.05.130

**A strongly convergent algorithm for the split common fixed point problem.** / Boikanyo, Oganeditse A.

Research output: Contribution to journal › Article

TY - JOUR

T1 - A strongly convergent algorithm for the split common fixed point problem

AU - Boikanyo, Oganeditse A.

PY - 2015/6/22

Y1 - 2015/6/22

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84934901490&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84934901490&partnerID=8YFLogxK

U2 - 10.1016/j.amc.2015.05.130

DO - 10.1016/j.amc.2015.05.130

M3 - Article

AN - SCOPUS:84934901490

VL - 265

SP - 844

EP - 853

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

SN - 0096-3003

M1 - 21251

ER -