Title | On Bilevel Split Pseudomonotone Variational Inequality Problems with Applications |

Publication Type | Journal Article |

Year of Publication | 2016 |

Authors | Anh, PKy, Anh, TViet, Muu, LDung |

Journal | Acta Mathematica Vietnamica |

Pagination | 1–17 |

ISSN | 2315-4144 |

Abstract | In this paper, we investigate a bilevel split variational inequality problem (BSVIP) involving a strongly monotone mapping in the upper-level problem and pseudomonotone mappings in the lower-level one. A strongly convergent algorithm for such a BSVIP is proposed and analyzed. In particular, a problem of finding the minimum-norm solution of a split pseudomonotone variational inequality problem is also studied. As a consequence, we get a strongly convergent algorithm for finding the minimum-norm solution to the split feasibility problem, which requires only two projections at each iteration step. An application to discrete optimal control problems is considered. |

URL | http://dx.doi.org/10.1007/s40306-016-0178-8 |

DOI | 10.1007/s40306-016-0178-8 |