### Abstract

Suppose X is a real q-uniformly smooth Banach space and F,K: X - X with D(K) = F(X) = X are accretive maps. Under various continuity assumptions on F and K such that 0 = u + KFu has a solution, iterative methods which converge strongly to such a solution are constructed. No invertibility assumption is imposed on K and the operators K and F need not be defined on compact subsets of X. Our method of proof is of independent interest.

Original language | English |
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Pages (from-to) | 353-365 |

Number of pages | 13 |

Journal | Abstract and Applied Analysis |

Volume | 2003 |

Issue number | 6 |

Publication status | Published - Mar 26 2003 |

### All Science Journal Classification (ASJC) codes

- Analysis
- Applied Mathematics

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## Cite this

Chidume, C. E., & Zegeye, H. (2003). Iterative approximation of solutions of nonlinear equations of hammerstein type.

*Abstract and Applied Analysis*,*2003*(6), 353-365.