### Abstract

Let H be a real Hilbert space. Let F: D(F) ⊆ H 7rarr; H, K: D(K) ⊆ H → H be bounded monotone mappings with R(F) ⊆ D(K), where D(F) and D(K) are closed convex subsets of H satisfying certain conditions. Suppose the equation 0 = u + KFu has a solution in D(F). Then explicit iterative methods are constructed that converge strongly to such a solution. No invertibility assumption is imposed on K, and the operators K and F need not be defined on compact subsets of H.

Original language | English |
---|---|

Pages (from-to) | 851-858 |

Number of pages | 8 |

Journal | Proceedings of the American Mathematical Society |

Volume | 133 |

Issue number | 3 |

DOIs | |

Publication status | Published - Mar 2005 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Mathematics(all)
- Applied Mathematics