### Abstract

In this paper, using the idea of Halpern iteration, we prove a strong convergence theorem for finding a common fixed point of an infinite family of demimetric mappings in a Hilbert space. Using this result, we obtain well-known and new strong convergence theorems in a Hilbert space.

Original language | English |
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Journal | Journal of Convex Analysis |

Volume | 24 |

Issue number | 4 |

Publication status | Published - 2017 |

### Keywords

- Common fixed point
- Demimetric mapping
- Halpern iteration
- Inverse strongly monotone mapping
- Metric projection

### ASJC Scopus subject areas

- Analysis
- Mathematics(all)

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## Cite this

Komiya, H., & Takahashi, W. (2017). Strong convergence theorem for an infinite family of demimetric mappings in a hilbert space.

*Journal of Convex Analysis*,*24*(4).