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Mixed vector FQ-implicit variational inequality with local non-positivity

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초록

This paper introduces a local non-positivity of two set-valued mappings (F,Q) and considers the existences and properties of solutions for set-valued mixed vector FQ-implicit variational inequality problems and set-valued mixed vector FQ-complementarity problems in the neighborhood of a point belonging to an underlined domain K of the set-valued mappings, where the neighborhood is contained in K. This paper generalizes and extends many results in [1, 3-7].

Abstract

This paper introduces a local non-positivity of two set-valued mappings (F,Q) and considers the existences and properties of solutions for set-valued mixed vector FQ-implicit variational inequality problems and set-valued mixed vector FQ-complementarity problems in the neighborhood of a point belonging to an underlined domain K of the set-valued mappings, where the neighborhood is contained in K. This paper generalizes and extends many results in [1, 3-7].

참고문헌 (7)

  1. Y. P. Fang, "The vector F-complementarity problem with demipseudomonotone mappings in Banach spaces", Appl. Math. Lett., 16, pp.1019~1024 (2003)
  2. F. Ferro, "A minimax theorem for vector-valued functions", J. Optim, Theory Appl., 60, pp.19~31 (1989)
  3. N. J. Huang, "F-implicit complementarity problems in Banach spaces", Z. Anal. Anwendungen, 23, pp.293~302 (2004)
  4. B. S. Lee, "Mixed vector FQ-implicit variational inequalities with FQ-complementatity problems", ~, submitted
  5. B. S. Lee, "Vector F-implicit complementarity problems with corresponding variational inequality problems", Appl. Math. Lett., 20, pp.433~438 (2007)
  6. J. Li, "Vector F-implicit complementarity problems in Banach spaces", Appl. Math. Lett., 19, pp.464~471 (2006)
  7. H. Y. Yin, "The F-complementarity problems and its equivalence with the least element problem", Acta Math. Sinica, 44, pp.679~686 (2001)

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