### Abstract

We introduce an iterative process which converges strongly to a common fixed point of a finite family of uniformly continuous generalized asymptotically nonexpansive mappings in Hilbert spaces. As a consequence, results on convergence to a common fixed point of a finite family of uniformly continuous asymptotically nonexpansive in the intermediate sense and asymptotically nonexpansive mappings are proved.

Original language | English |
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Pages (from-to) | 1439-1451 |

Number of pages | 13 |

Journal | Bulletin of the Malaysian Mathematical Sciences Society |

Volume | 38 |

Issue number | 4 |

DOIs | |

Publication status | Published - Oct 9 2015 |

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### All Science Journal Classification (ASJC) codes

- Mathematics(all)

### Cite this

*Bulletin of the Malaysian Mathematical Sciences Society*,

*38*(4), 1439-1451. https://doi.org/10.1007/s40840-014-0099-4

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*Bulletin of the Malaysian Mathematical Sciences Society*, vol. 38, no. 4, pp. 1439-1451. https://doi.org/10.1007/s40840-014-0099-4

**Convergence to a Common Fixed Point of a Finite Family of Generalized Asymptotically Nonexpansive Mappings.** / Zegeye, H.; Shahzad, N.; Daman, O. A.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Convergence to a Common Fixed Point of a Finite Family of Generalized Asymptotically Nonexpansive Mappings

AU - Zegeye, H.

AU - Shahzad, N.

AU - Daman, O. A.

PY - 2015/10/9

Y1 - 2015/10/9

N2 - We introduce an iterative process which converges strongly to a common fixed point of a finite family of uniformly continuous generalized asymptotically nonexpansive mappings in Hilbert spaces. As a consequence, results on convergence to a common fixed point of a finite family of uniformly continuous asymptotically nonexpansive in the intermediate sense and asymptotically nonexpansive mappings are proved.

AB - We introduce an iterative process which converges strongly to a common fixed point of a finite family of uniformly continuous generalized asymptotically nonexpansive mappings in Hilbert spaces. As a consequence, results on convergence to a common fixed point of a finite family of uniformly continuous asymptotically nonexpansive in the intermediate sense and asymptotically nonexpansive mappings are proved.

UR - http://www.scopus.com/inward/record.url?scp=84941089682&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84941089682&partnerID=8YFLogxK

U2 - 10.1007/s40840-014-0099-4

DO - 10.1007/s40840-014-0099-4

M3 - Article

VL - 38

SP - 1439

EP - 1451

JO - Bulletin of the Malaysian Mathematical Sciences Society

JF - Bulletin of the Malaysian Mathematical Sciences Society

SN - 0126-6705

IS - 4

ER -