## Abstract

The projection mapping P_{K}: V → K plays an important role in the treatment of variational inequalities, where V is some Hilbert space and K is a certain closed convex subset of V. But, only for few problems, it is known how to get or approximate the explicit form of P_{K}u from each given u ∈ V. In this article, an iterative method to approximate P_{K}u for V = H_{0}/^{1}(a, b) and K = {f ∈ V; |∇f| ≤ 1 a.e.} is proposed. This P_{K} is related to the elasto-plastic torsion problems. Moreover, an expansion of the method for higher dimensional but radial symmetric case is shown.

Original language | English |
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Pages (from-to) | 2863-2868 |

Number of pages | 6 |

Journal | Nonlinear Analysis, Theory, Methods and Applications |

Volume | 47 |

Issue number | 4 |

DOIs | |

Publication status | Published - 2001 Aug 1 |

## ASJC Scopus subject areas

- Analysis
- Applied Mathematics

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