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Vector Variational Inequalities Involving Vector Maximal Points

Author

Listed:
  • M.H. Kim

    (Pukyong National University)

  • S.H. Kum

    (Chungbuk National University)

  • G.M. Lee

    (Pukyong National University)

Abstract

This paper considers the existence of solutions and the equivalence of four kinds of vector variational inequalities (VVI). More precisely, a sufficient condition is provided under which the solution sets of these VVIs are nonempty and equal. An example is given, showing that such a sufficient condition is essential to ensure the results. Actually, the main theorems in this paper can be regarded as a suitable correction and a refinement of recent results due to Chang et al. (Ref. 1).

Suggested Citation

  • M.H. Kim & S.H. Kum & G.M. Lee, 2002. "Vector Variational Inequalities Involving Vector Maximal Points," Journal of Optimization Theory and Applications, Springer, vol. 114(3), pages 593-607, September.
    • Handle: RePEc:spr:joptap:v:114:y:2002:i:3:d:10.1023_a:1016075029509
    DOI: 10.1023/A:1016075029509
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    References listed on IDEAS

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    1. K. L. Lin & D. P. Yang & J. C. Yao, 1997. "Generalized Vector Variational Inequalities," Journal of Optimization Theory and Applications, Springer, vol. 92(1), pages 117-125, January.
    2. G. M. Lee & S. H. Kum, 2000. "On Implicit Vector Variational Inequalities," Journal of Optimization Theory and Applications, Springer, vol. 104(2), pages 409-425, February.
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