### Abstract

Suppose K is a closed convex subset of a strictly convex real Banach space E which has a uniformly Gâteaux differentiable norm. Suppose that every nonempty closed convex bounded subset of E has the fixed point property for nonexpansive mappings. A strong convergence theorem is proved for a common zero of a family of m-accretive mappings from K to E. As a consequence, an iterative method is constructed to converge to a common fixed point (assuming existence) of a family of pseudocontractive mappings from K to E under certain mild condition.

Original language | English |
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Pages (from-to) | 1161-1169 |

Number of pages | 9 |

Journal | Nonlinear Analysis, Theory, Methods and Applications |

Volume | 66 |

Issue number | 5 |

DOIs | |

Publication status | Published - Mar 1 2007 |

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### All Science Journal Classification (ASJC) codes

- Analysis
- Applied Mathematics