호남수학학술지 (Honam Mathematical Journal)

  • 제29권3호
  • /
  • Pages.455-464
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  • 2007
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  • 1225-293X(pISSN)
  • /
  • 2288-6176(eISSN)
호남수학회 (The Honam Mathematical Society)
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DOI QR코드

DOI QR Code

MIXED VECTOR F-IMPLICIT COMPLEMENTARITY PROBLEMS AND CORRESPONDING VECTOR VARIATIONAL INEQUALITY PROBLEMS

  • 투고 : 2007.07.02
  • 심사 : 2007.08.13
  • 발행 : 2007.09.25
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초록

We consider existence theorems for a new class of mixed vector F-implicit complementarity problems and the corresponding mixed vector F-implicit variational inequality problems.

키워드

참고문헌

  1. K. Fan, A generalization of Tychonoff's fixed point theorem, Math. Ann. 142(1961), 305-310. https://doi.org/10.1007/BF01353421
  2. Y. P. Fang and N. J. Huang, The vector F-complementarity problem with demipseudomonotone mappings in Banach spaces, Appl. Math. Lett. 16(2003), 1019-1024. https://doi.org/10.1016/S0893-9659(03)90089-9
  3. N. J. Huang and J. Li, F-implicit complementarity problems in Banach spaces, Z. Anal. Anwendungen 23(2004), 293-302.
  4. B. S. Lee, Implicit complementarity problems and variational inequality problems, Proceedings of the National Institute for Mathematical Sciences Vol. 1, No.4, May, 2007, Pages 1-6.
  5. J. Li and N. J. Huang, Vector F-implicit complementarity problems in Banach spaces, Appl. Math. Lett. 19(2006), 467-471.
  6. H. Y. Yin, C. X. Xu and Z. X. Zhang, The complementarity problems and its equivalence with the least element problem, Acta Math. Sinica 44(2001),679-686.